This is the Grade 6 Mathematics Quarter 4 Module 1 self-learning module, “Determining the Relationship of Volume Between a Rectangular Prism and a Pyramid; a Cylinder, and a Cone; and a Cylinder and a Sphere.” It is an Alternative Delivery Mode module from DepEd Region VI (First Edition, 2020), written for learners studying at home or in school. After working through it, learners can explain why a pyramid holds one-third of a prism, a cone holds one-third of a cylinder, and a sphere holds two-thirds of a cylinder, and can compute each volume.
What learners will learn
By the end of the module, learners are expected to:
- Determine the relationship of volume between a rectangular prism and a pyramid; a cylinder and a cone; and a cylinder and a sphere (M6ME-IVa-95).
The module builds on earlier lessons about the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres.
Key ideas: what volume is
The volume of a solid figure is the amount of space inside it. It is measured in cubic units, such as cm³ or m³, and tells how many cubes of a given size it takes to fill the figure.
The module compares pairs of solids that have the same base and the same height (or, for the sphere, the same radius). It uses a simple idea: fill one solid with water or sand and pour it into the other to see how much it fills.
The three volume relationships
| Pair of solids | Relationship | Formulas |
|---|---|---|
| Rectangular prism and pyramid | Pyramid = 1/3 of the prism | Prism: V = l × w × h; Pyramid: V = lwh/3 |
| Cylinder and cone | Cone = 1/3 of the cylinder | Cylinder: V = πr²h; Cone: V = 1/3 πr²h |
| Cylinder and sphere | Sphere = 2/3 of the cylinder | Sphere: V = 4/3 πr³ |
The module uses π = 3.14 in its examples.
Rectangular prism and pyramid
The volume of a rectangular prism is its base area times its height: V = l × w × h. For a prism 9 cm long, 4 cm wide, and 6 cm high, V = 9 × 4 × 6 = 216 cm³.
If a pyramid with the same base and height is filled and poured into the prism, it fills only one-third of it. So the pyramid’s volume is 1/3 × 216 cm³ = 72 cm³. Put another way, the prism holds three times as much as the pyramid.
Cylinder and cone
A cylinder has a circular base, so its volume is the area of the circle times the height: V = πr²h. For a cylinder with a radius of 2 cm and a height of 15 cm, V = 3.14 × 4 × 15 = 188.4 cm³.
A cone with the same radius and height fills only one-third of that cylinder. Its volume is 188.4 cm³ ÷ 3 = 62.8 cm³.
Cylinder and sphere
Here the cylinder has the same radius as the sphere and a height equal to twice the radius (h = 2r), so the sphere just fits inside. The cylinder’s volume is (πr²)(2r) = 2πr³. When the sphere is pushed into a cylinder full of water, about two-thirds of the water spills out, so the sphere is 2/3 of the cylinder: 2/3 × 2πr³ = 4/3 πr³.
In the module’s example, a sphere with a radius of 3 cm has V = 4/3 × 3.14 × 27 = 113.04 cm³. A cylinder with a radius of 3 cm and a height of 6 cm has a volume of 169.56 cm³, and 113.04 is two-thirds of 169.56.
A useful result from the pretest: when a cone, a sphere, and a cylinder are compared this way, the order from smallest to largest is cone, sphere, cylinder.
Parts of the module
- What I Know: a 5-item multiple-choice pretest.
- What’s In: a fill-in-the-blanks review using a word bank of terms and formulas.
- What’s New: pictures showing three pyramids filling a prism, three cones filling a cylinder, and a sphere inside a cylinder.
- What is It: the lesson discussion with worked examples.
- What’s More: completing a table of base areas, heights, and formulas, then finding the volumes of a prism, pyramid, cylinder, cone, and sphere.
- What I Have Learned: a summary of the formulas and relationships.
- What I Can Do: four word problems, such as Claire’s prism and pyramid models and Dino’s cone and cylinder containers.
- Assessment: a 5-item post-test.
- Additional Activities: five questions to answer in your own words, such as “Define volume.”
- Answer Key: answers for the pretest, activities, and assessment.
How to use this module
- Learners: Start with the pretest to see what you already know. Then go through the parts in order, writing all answers on a separate sheet of paper instead of on the module. Check your work with the answer key only after you finish each part, and be honest when you do.
- Parents and guardians: Help your child read the instructions carefully, and if you can, try the water or sand filling idea with household containers of the same height and base. Encourage your child to ask the teacher about any task that is hard.
- Teachers: Use the pretest to decide who needs extra help, and the Assessment as the post-test. The What’s More table and the word problems in What I Can Do are good for checking whether learners can apply the formulas, not just recall them.
Frequently asked questions
What grade and quarter is this module for?
It is Mathematics for Grade 6, Quarter 4, Module 1. It covers competency M6ME-IVa-95.
How is the volume of a pyramid related to the volume of a rectangular prism?
When both have the same base and height, the pyramid’s volume is one-third of the prism’s volume. For example, a prism of 216 cm³ matches a pyramid of 72 cm³.
Why is the volume of a sphere 4/3 πr³?
A cylinder with the same radius and a height of twice the radius has a volume of 2πr³. The sphere fills two-thirds of that cylinder, and 2/3 of 2πr³ equals 4/3 πr³.
Does the module have an answer key?
Yes. The answer key covers the pretest, What’s In, What’s More, What I Can Do, the Assessment, and the Additional Activities.
What value of pi does the module use?
The module uses π = 3.14 in its examples and exercises.
Full text of the module
The text below is a transcription of the PDF above, as printed.
Mathematics Quarter 4 – Module 1: Determining the Relationship of Volume Between a Rectangular Prism and a Pyramid; a Cylinder, and a Cone; and a Cylinder and a Sphere
[illustration: learners studying outdoors and at home, with a teacher, a globe, and a child working by lamplight]
CO_Q4_Mathematics 6_ Module 1
Mathematics – Grade 6 Alternative Delivery Mode Quarter 4 – Module 1: Determining the relationship of volume between a rectangular prism and a pyramid; a cylinder, and a cone; a cylinder and sphere. First Edition, 2020
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Department of Education – Region VI
Office Address: Duran Street, Iloilo City Telefax: (033)336-2816, (033)509-7653 E-mail Address: region6@deped.gov.ph
Development Team of the Module
Writer: Angella P. Claracay
Editors: Mae Joy M. Tan, Susana L. Lutero, Nora B. Rebadomia, Mary Jane O. Amante, Ma. Pinky C. Arquio, Susan T. Dela Torre, Ritchel P. Maratas
Reviewers: Ivy Joy A. Torres, Ma. Theresa L. Tabotabo, Jem Rymon S. Chien, Mae Joy M. Tan
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Mathematics Quarter 4 – Module 1: Determining the Relationship of Volume Between a Rectangular Prism and a Pyramid; a Cylinder, and a Cone; and a Cylinder and a Sphere
Introductory Message
This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.
Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.
Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.
In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.
Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.
If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.
Thank you.
What I Need to Know
[illustration: target with arrow]
This module was designed and written with you in mind. It is here to help you master the skills in determining the relationship of volume between a rectangular prism and a pyramid; a cylinder, and a cone; a cylinder and sphere. The scope of this module allows you to use it in many different learning situations. The language used recognizes your diverse vocabulary level. The lessons are arranged to follow the standard sequence of your course. But the order in which you read them can be changed to match with the textbook you are now using.
After going through this module, you are expected to determine the relationship of volume between a rectangular prism and a pyramid; a cylinder, and a cone; a cylinder and sphere (M6ME-IVa-95).
What I Know
[illustration: pencil icon]
Read each item carefully. Answer the following questions by choosing the letter of your answer and writing it on your answer sheet.
Which of the following statements correctly describe the volume of prisms and pyramids with the same dimensions?
a. The volume of a pyramid is one-third of the volume of a prism.
b. The volume of a pyramid is one-fourth of the volume of a prism.
c. The volume of a pyramid is one-third greater than the volume of a prism.
d. The volumes of a pyramid and prism are the same because their bases are the same.A sphere is inscribed in a cylinder, such that the point on a curve line touches the inner surface of the cylinder. What is the ratio of the volume of the sphere to the volume of the cylinder?
a. $\frac{4}{3}$ : 1
b. 1:$\frac{4}{3}$
c. $\frac{2}{3}$ :1
d. 1: $\frac{2}{3}$A cylinder and a cone have the same radius and height. How will you compare the volume of the cone to the volume of the cylinder?
a. The volume of the cone is two-third the volume of the cylinder.
b. The volume of the cone is four-third the volume of the cylinder.
c. The volume of the cone is one-third the volume of the cylinder.
d. The relationship of the volumes of the cylinder and cone cannot be determined.Consider the radius and height of a cone, a cylinder and a sphere to be the same. Which correctly arranges the figures from smallest to largest?
a. Sphere, Cylinder, Cone
b. Cone, Sphere, Cylinder
c. Cylinder, Cone, Sphere
d. Cone, Cylinder, SphereA cone and a cylinder have congruent bases and altitudes. What is the ratio of the volume of the cone to the cylinder?
a. $\frac{1}{3}$
b. $\frac{2}{3}$
c. $\frac{4}{3}$
d. $\frac{5}{3}$
Lesson 1
Determining the Relationship of Volume Between a Rectangular Prism and a Pyramid; a Cylinder, and a Cone; a Cylinder and Sphere
In the previous lessons, you have learned how to find the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres. This time, we will focus on how to determine the relationship of volume between a rectangular prism and a pyramid; a cylinder, and a cone; a cylinder and a sphere.
What’s In
[illustration: puzzle pieces icon]
Fill in the blanks. Choose your answer inside the box and write it in your answer sheet.
Word bank: cylinder | sphere | pyramid | height | $V = \frac{4}{3}\pi r^3$ | $V = \frac{1}{3}\pi r^2 h$ | V= $\pi r^2 h$
The volume of _________________ is one-third of the volume of a rectangular prism with the same base and height.
In finding the volume of soccer a ball, the formula to use is _________________.
A cone exactly fills one-third of a _________________ whose base and height are equal.
Having the same radius and height, the volume of a _________________ is two-thirds of the volume of a cylinder.
The volume of a cylinder is the product of the circular base area and the _________________.
What’s New
[illustration: plant sprouting from leaves icon]
Given the following illustrations, what can you say about the relationship between the volume of a rectangular prism and a pyramid? A cylinder and a cone? A cylinder and a sphere?
[chart: illustration; Volume of Rectangular Prism = Volume of Pyramid + Volume of Pyramid + Volume of Pyramid]
Labels: Volume of Rectangular Prism | Volume of Pyramid | h | w | l | base
[chart: illustration; Volume of Cylinder = Volume of Cones + Volume of Cones + Volume of Cones]
Labels: Volume of Cylinder | Volume of Cones | h | r
[illustration: a cylinder, a sphere, and a cylinder enclosing the sphere, with arrow between]
Labels: Cylinder: radius, height | Sphere: radius | radius, height
CO_Q4_Mathematics 6_ Module 1
What is It
The volume of a solid figure is the amount of space inside it. Volume is measured in cubic units, which means it tells the number cubes in a given size it takes to fill the solid figure.
Relationships of the volumes between solid figures can be determined as illustrated in the What is in section of this module. Let us explore how we can establish the relationship between the following pairs of figures.
A. Relationship of the Volume between Rectangular Prism and Pyramid
- Exploring Volume of a rectangular prism.
Study the figure at the right
[illustration: rectangular prism with labels height, width (w), and length (l)]
The volume of a rectangular prism is equal to the product of its base area and its height.
Volume = (area of the base) x height Volume = (length x width) x height Volume = l w h
Let us determine the volume of the cylinder at the right with the given dimensions. To solve for the volume of a given rectangular prism, follow the formula and perform the operations
V = l w h V= 5 cm x 3 cm x 2 cm V = 30 cm³
[illustration: rectangular prism with dimensions 2 cm (height), 3 cm (width), and 5 cm (length)]
Let’s try to solve another example.
Find the volume of the rectangular prism shown below with the illustrated dimensions: l = 9 cm w= 4 cm and h = 6 cm.
Solution: V = l ∙ w ∙ h V = 9 cm x 4 cm x 6 c m V = 216 cm³
[illustration: rectangular prism labeled h = 6 cm, w = 4 cm, l = 9 cm]
- Exploring the Volume of a Pyramid
Consider the following pyramid and the rectangular prism having equal altitudes (height) and bases with equal areas.
[illustration: rectangular prism labeled h = 6 cm, w = 4 cm, l = 9 cm, with V = 216 cm³, beside a pyramid labeled h = 6 cm, w = 4 cm, l = 9 cm, base]
[illustration: arrow pointing down to a pyramid placed inside a rectangular prism, labeled h = 6 cm, w = 4 cm, l = 9 cm, base]
If the pyramid is filled with water or sand and its content is poured into a rectangular prism, only a third of the prism will be filled. Thus, the volume of a pyramid is 1/3 the volume of a prism.
Volume = 1/3 (base area x height) or V = lwh/3
To find the volume of the given pyramid whose length measures 9 cm, width of 4 cm and height of 6 cm, study the solution below.
Solution:
Volume = 1/3 (base area x height) Volume = 1/3 (length x width x height) Volume = 1/3 (9 cm x 4 cm x 6 cm) Volume = 1/3 (216 cm³) Volume = 216 cm³/3 Volume = 72 cm³
Thus, the volume of a pyramid which is 72 cm³ is one-third of the volume of the rectangular prism which is 216 cm³.
B. Relationship between the volume of the Cylinder and Cone
- Exploring the Volume of a Cylinder
Cylinders have circular bases. Finding the volume of a cylinder is just like finding the volume of a prism.
[illustration: cylinder labeled r (radius) and h (height)]
Volume = (area of the base) x height Volume = (π ∙ r²) h Volume = π ∙ r² ∙ h
Example: Find the volume of a cylinder with radius of 2 cm and a height of 15 cm. (Use π = 3.14)
[illustration: cylinder labeled r = 2 cm and h = 15 cm]
Solution: V = π ∙ r² ∙ h V = 3.14 x (2 cm)² x 15 cm V = 3.14 x 4 cm² x 15 cm V = 188.4 cm³
- Exploring the Volume of a Cone
If a cone is filled with water or sand, and then its content is poured into a cylinder with equal base area and height, only a third of the cylinder will be filled.
[chart: diagram; Cylinder = Cone + Cone + Cone, each cone labeled h and r]
This shows that the volume of a cone is 1/3 of the volume of a cylinder with the same base area and height.
V = 1/3 πr² h or V = Bh/3
Let’s find the volume of the given cone whose height measures 15 cm and radius measures 2 cm.
Solution:
V = Bh/3 V = (πr²)h/3 V = (3.14 x (2 cm)² x 15 cm)/3 V = (3.14 x 4 cm² x 15 cm)/3 V = 188.4 cm³/3 V = 62.8 cm³
[illustration: cone labeled h = 15 cm and r = 2 cm]
[illustration: cylinder labeled r = 2 cm and h = 15 cm, beside a cone labeled h = 15 cm and r = 2 cm, with arrow to the cone inside the cylinder labeled 15 cm and 2 cm]
Notice that the volume of the cone, 62.8 cm³ is one-third of the volume of the cylinder with the same base and height, 188.4 cm³. This confirms the relation that a cone’s volume is 1/3 the volume of a cylinder.
C. Relationship Between the Volume of the Cylinder and Sphere
- Exploring the Volume of a Sphere
Fill a cylinder with water. Push a sphere with the same radius into the cylinder. Notice that about 2/3 of the water will be displaced. So the volume of the sphere is 2/3 of the volume of the cylinder.
[illustration: sphere inside a cylinder labeled radius and height]
The volume of the cylinder would be the area of its base times its height, which is (πr²)(2r) or 2πr³. The sphere does not fill the whole cylinder. In fact, the volume of the sphere is 2/3 of the volume of the cylinder: 2/3(2πr³).
Therefore, the volume of the sphere is V = 4/3 πr³
Let’s find the volume of the sphere whose radius measures 3 cm. Note that a cylinder with the same radius and height double the radius has a volume of 169.56 cm³.
[illustration: cylinder labeled r = 3 cm and h = 6 cm, V = 169.56 cm³; sphere labeled r = 3 cm; arrow to a sphere inside a cylinder labeled r=3cm]
Solution:
V = 4/3 πr³ V = 4/3 (3.14)(3 cm)³ V = 4/3 (3.14)(27 cm³) V = 339.12 cm³/3 V = 113.04 cm³
Notice that the volume of the sphere, 113.04 cm³ is two-thirds of the volume of the cylinder, 169.56 cm³. This confirms that the volume of a sphere is 2/3 the volume of a cylinder with the same radius.
What’s More
A. Complete the needed data in the table below by writing the missing formula or height to show the relationship between volumes of different solids figures. Write your answer on your answer sheet.
| Quantities | Prisms | Pyramid | Cylinder | Cone | Sphere |
|---|---|---|---|---|---|
| Base Area | [blank] | l ∙ w | π ∙ r² | π ∙ r² | π ∙ r² |
| Height | h | h | h | [blank] | h= 2r |
| Volume = B x h | l ∙ w ∙ h | [blank] | [blank] | 1/3 (π ∙ r² ∙ h) | [blank] |
[transcriber’s note: the cells shown as empty circles in the printed table are blank answer spaces, left empty here]
B. Find the volume of each solid figure found in the table below. Write your answer on your answer sheet. (Use π=3.14). Write your answer on a sheet of paper.
| Solid | Prism | Pyramid | Cylinder | Cone | Sphere |
|---|---|---|---|---|---|
| length | 4 cm | 4 cm | |||
| width | 5 cm | 5 cm | |||
| radius | 2 cm | 2 cm | 3 cm | ||
| Height | 3 cm | 3 cm | 3 cm | 3 cm | |
| Volume | 1.______ | 2.______ | 3.______ | 4.______ | 5.______ |
[transcriber’s note: shaded cells in the printed table are empty]
What I Have Learned
The volume of a solid figure refers to the amount of space inside it. Volume is measured in cubic units, which means that it tells the number of cubes in a given size it takes to fill the solid figure.
We can determine the relationships of volume between a rectangular prism and a pyramid; a cylinder and a cone, and a cylinder and a sphere by:
The volume of a rectangular prism is equal to the product of the base area and its height. Having the same dimensions, the volume of a rectangular prism is three times the volume of the pyramid. Thus, the volume of a pyramid is one-third of the volume of a rectangular prism with the same dimensions.
The volume of a prism can be expressed as: V = B h or V= l ∙ w ∙ h
while the volume of a pyramid can be expressed as: V = 1/3 Bh or V = lwh/3.
The volume of a cylinder is just like finding the volume of a prism. The volume of a cylinder is the product of the height h and the area of the base (B). That is, V = B h or V = π r² h.
The volume of a cone is one third of the volume of a cylinder with the same dimensions. That is, V = 1/3 Bh or V = 1/3 πr²h.
And the volume of the sphere is 2/3 of the volume of a cylinder with the same radius and height double of the radius: 2/3 (2πr³). Therefore, the volume of the sphere is V = 4/3 πr³
What I Can Do
Read and answer each item below. Choose the letter of your answer and write it on your answer sheet.
- Claire makes models to show the relationship between the volume of a rectangular prism and the volume of a rectangular pyramid. The rectangular prism model has a base area of 8 square inches and a height of 12 inches. She also makes a rectangular pyramid with a base and height congruent to the corresponding parts of the prism. Which conclusion is INCORRECT about the relationship between the volumes of the models?
A. The volume of the rectangular prism is triple the volume of the rectangular pyramid. B. The volume of the rectangular pyramid is one-third the volume of the rectangular prism. C. The volume of the rectangular prism is three times the volume of the rectangular pyramid. D. The volume of the rectangular pyramid is three times the volume of the rectangular prism.
- Dino has a cone-shaped container that he fills with water. He pours the water into the cylindrical shaped container. Both containers have the same height and bases. Which of the following statements is CORRECT after he pours the water from the cone to the cylinder?
A. The cylindrical shaped container is completely filled with water. B. Only three-fourths of the volume of cylindrical container is filled with water. C. One-third of the volume of the cylindrical container is not filled with water. D. Two-thirds of the volume of the cylindrical container is not filled with water.
- A spherical tank for natural gas has a volume of about 1500 m³. How will you compare its volume to a cylindrical type of tank having the same dimensions?
A. The volume of the spherical tank is two-thirds of the volume of the cylindrical tank. B. The volume of the spherical tank is greater than the volume of the cylindrical tank. C. The volumes of the spherical and the cylindrical tanks are the same. D. The volume of the spherical tank is one-third of the volume of the cylindrical tank.
- The area of the base of a rectangular prism is 15 m² and the height measures 5 m. What is the volume of the pyramid with the same dimensions as the rectangular prism?
A. The volume of pyramid is 25 m³. B. The volume of pyramid is 35 m³. C. The volume of pyramid is 45 m³. D. The volume of pyramid is 55 m³.
Assessment
Read and answer each item. Choose the letter of your answer and write it on your answer sheet.
Oscar fills a cone-shaped container with water. He pours the water into the cylindrical-shaped container. The height and the bases of the containers have the same measurements. Which of the following statements is INCORRECT after he pours the water from the cone to the cylinder?
a. The cylindrical-shaped container is one-third filled with water.
b. The cylindrical shaped container is completely filled with water.
c. The volume of the cone-shaped container filled with water is one-third of the volume of the cylindrical-shaped container.
d. The volume of the cylindrical-shaped container filled with water is three times the volume of the cone-shaped container.A rectangular prism and a pyramid have congruent bases and equal altitudes. What is the ratio between the volume of the pyramid to the volume of the rectangular prism?
a. 1/3
b. 2/3
c. 4/3
d. 5/3The cylinder below has a base and vertical height congruent to that of the cone. Which best describes the volume of the cone?
[illustration: cylinder with its height labeled 10 cm and its base labeled B=28.26 cm²]
a. 1/2 (282.60 cm³)
b. 1/3 (282.60 cm³)
c. 1/4 (282.60 cm³)
d. 1/8 (282.60 cm³)Which of the following describes the relationship of the volume of cylinder and sphere with the same dimensions?
a. The volume of sphere is one-half the volume of cylinder.
b. The volume of sphere is one-third of the volume of cylinder.
c. The volume of sphere is two-thirds of the volume of cylinder.
d. The volume of sphere is the same with the volume of cylinder.Elena has a cylindrical shaped container that is 9 inches high with a diameter of 10 inches. Reggie has a sphere-shaped container that has a radius of 4 inches. About how much more volume does Elena’s container have than Reggie’s? [transcriber’s note: the number “17” is printed over the words “does Elena’s” in this item]
a. 438.55 inches³
b. 325.23 inches³
c. 342.54 inches³
d. 121.56 inches³
Additional Activities
Answer the following questions in your own words. Write your answer in your answer sheet.
Define volume.
_____________________________________________________________________________.
How is the volume of cylinder related to the volume of the cone?
_____________________________________________________________________________.
Compare the volume of a cylinder and a sphere. How are they related?
_____________________________________________________________________________.
What is the relationship between the volume of a prism and a pyramid?
_____________________________________________________________________________.
What can you say about the volume of prism and cylinder? How are they related?
_____________________________________________________________________________.
Answer Key
[transcriber’s note: this page is printed upside down; the table below is transcribed in the order it reads after the page is turned, and the cell placement follows the rotated layout]
| What I Know | Assessment |
|---|---|
| 1. A 2. C 3. C 4. B 5. A | 1. B 2. A 3. B 4. C 5. A |
| What’s In 1. pyramid 2. 4/3 πr³ 3. cylinder 4. sphere 5. height | Additional Activities 1. Volume is the amount of space a solid figure. It tells how many cubes of a given size it takes to sill the solid figure. 2. The volume of a cone is one third of the volume of a cylinder with the same dimensions. 3. The volume of the sphere is 2/3 of the volume of a cylinder with the same radius and height double of the radius |
| What’s More A. 1. l ∙ w 2. h 3. 1/3 (lwh) 4. πr²h 5. 4/3 (πr³) B. 1. 60 cm³ 2. 20 cm³ 3. 37.68 cm³ 4. 12.56 cm³ 5. 113.04 cm³ | 4. The volume of a rectangular prism is equal to the product of the base area and its height. Having the same dimensions, the volume of a rectangular prism is three times the volume of the pyramid. Thus, the volume of a pyramid is one-third of the volume of a rectangular prism with the same dimensions. |
| What I Can Do 1. D 2. D 3. A 4. A | 5. The volume of a cylinder is just like finding the volume of a prism. The volume of a cylinder is the product of the height h and the area of the base (B). |
References
Most Essential Learning Competencies (MELCs) in Mathematics 6
Perez, Marjoseph H. et. al., 21st Centry MATHletes 6 Textbook, Department of Education, Ground Floor, Bonifacio Building., DepEd Complex, Meralco Avenue, Pasig City, Philippines, 2014.
For inquiries or feedback, please write or call:
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