This is the Mathematics 5 Quarter 3 Module 11 self-learning module, “Visualizing and Describing Solid Figures” (First Edition, 2020), from DepEd Region VIII. It is for Grade 5 learners studying at home or in class, and for the parents and teachers who guide them. It starts from everyday objects like balls, boxes, cans, ice cream cones, watermelons, and cabinets. By the end, learners can name solid figures and describe them by their faces, edges, and vertices.
On this page 6 sections
What learners will learn
The module states one learning objective. After studying it, learners will be able to:
- visualize and describe solid figures.
Along the way, they also compare solid figures and see how they are alike and how they differ.
Key ideas in this module
Solid figures and their parts
Objects such as balls, boxes, and cans are solid figures. Solid figures are three-dimensional: they have length, width, and height. Many of them also have these parts:
- Face: a flat surface of a solid figure.
- Edge: a line segment where two faces meet.
- Vertex (plural: vertices): a point where edges meet.
The module’s answer key gives these counts for three common solids:
| Solid figure | Faces | Edges | Vertices |
|---|---|---|---|
| Rectangular prism | 6 | 12 | 8 |
| Cube | 6 | 12 | 8 |
| Triangular pyramid | 4 | 6 | 4 |
Polyhedrons and non-polyhedrons
Every solid figure is either a polyhedron or a non-polyhedron:
- A solid is a polyhedron if all its faces are polygons, such as triangles, squares, and rectangles. Otherwise, it is a non-polyhedron.
- A polyhedron may be a prism, a pyramid, or a platonic solid. This module covers only prisms and pyramids.
- A prism has two parallel bases of the same size and shape, for example a rectangular prism, a cube, or a triangular prism.
- A pyramid has faces that meet at a single top point, for example a square pyramid, a triangular pyramid, or a pentagonal pyramid.
Cylinders, cones, and spheres have curved surfaces, so they are not polyhedrons.
Solid figures in everyday life
The module links each shape to familiar objects:
| Object | Solid figure |
|---|---|
| Can of milk, corned beef, canned goods | Cylinder |
| Ball, balloon | Sphere |
| Party hat, birthday hat, ice cream cone | Cone |
| Shoebox | Rectangular prism |
| Toblerone-type chocolate bar | Triangular prism |
| Die | Cube |
In the “What’s New” story, the Lim family brings a soccer ball, a box of chocolate, birthday hats, cans of milk, and a Toblerone to a party in Tagaytay. Learners find five solid figures in these items: a sphere, a rectangular prism, a triangular prism, a cone, and a cylinder.
Parts of the module
The module has one lesson, “Visualizing and Describing Solid Figures,” arranged in these parts:
- What I Know: a 10-item pretest on naming the shapes of objects.
- What’s In: a review of plane figures (pentagon, square, rectangle, hexagon, circle, triangle).
- What’s New: the Lim family birthday story.
- What Is It: the discussion of solid figures, followed by a table where learners count faces, edges, and vertices.
- What’s More: Activity 1 “Who Am I” (naming solids), Activity 2 “Describe Me” (polyhedron or non-polyhedron), and Activity 3 “Draw Me” (drawing a rectangular prism, a cube, and a triangular pyramid and counting their parts).
- What I Have Learned: fill in the blanks on the key terms.
- What Can I Do: multiple-choice questions about everyday objects.
- Assessment: a 10-item post-test.
- Additional Activities: matching descriptions to terms such as edge, face, vertex, solid figure, and prism.
How to use this module
- Learners: Answer the pretest first to see what you already know. Then work through the parts in order. Write all your answers on a separate sheet of paper, not on the module. Check your work with the answer key at the end, and be honest when you use it.
- Parents: Help your child find real solid figures at home, like cans, boxes, and balls, and count their faces, edges, and corners together.
- Teachers and facilitators: Use the pretest results to decide whether a learner needs extra help. Use the post-test to check mastery. Encourage learners to ask you when a task is unclear.
Frequently asked questions
What grade and quarter is this module for?
It is for Grade 5 Mathematics, Quarter 3. It is Module 11 in the series.
What is the difference between a polyhedron and a non-polyhedron?
A polyhedron is a solid figure whose faces are all polygons, like a prism or a pyramid. A solid that does not meet this condition, such as a cylinder, cone, or sphere, is a non-polyhedron.
What are faces, edges, and vertices?
A face is a flat surface of a solid figure. An edge is where two faces meet. A vertex is a point where edges meet.
Does the module have an answer key?
Yes. The answer key at the end covers the review, the activities, the fill-in-the-blank items, the assessment, and the additional activities.
How many faces, edges, and vertices does a cube have?
According to the module’s answer key, a cube has 6 faces, 12 edges, and 8 vertices, the same counts as a rectangular prism.
Full text of the module
The text below is a transcription of the PDF above, as printed.
Mathematics Quarter 3 – Module 11: Visualizing and Describing Solid Figures
5
CO_Q3_Mathematics 5_ Module 11
Mathematics – Grade 5 Alternative Delivery Mode Quarter 3 – Module 11: Visualizing and Describing Solid Figures First Edition, 2020
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Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this book are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them.
Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio
Printed in the Philippines by ________________________
Department of Education – Region VIII
Office Address : DepEd Regional Office No. 8 Candahug, Palo, Leyte Telefax : (053)-832-2997 E-mail Address : region8@deped.gpv.ph
Development Team of the Module
Writer: Ma. Alma M. Galitan Editor: Danilo Jadulco Reviewers: Renato S. Cagomoc, Rolando M. Lacbo, Joshua Sherwin T. Lim, Wilma L. Reyes Illustrator: Razle L. Jabelo Layout Artist: Razle L. Jabelo, Cherry Lou O. Calison Management Team: Ma. Gemma M. Ledesma, Arnulfo R. Balane, Rosemarie M. Guino, Joy B. Bihag, Ryan R. Tiu, Sarah S. Cabaluna, Thelma Cabadsan-Quitalig, Elena S. De Luna, Renato S. Cagomoc, Noel E. Sagayap, Geraldine P. Sumbise, Joshua Sherwin T. Lim
5
Mathematics
Quarter 3 – Module 11: Visualizing and Describing Solid Figures
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
Hi, Mathletes! Our world is filled with solid figures such as balls, boxes, cans, ice cream cones, watermelons, and cabinets among others. In this module, you will be introduced to the various solid figures. You will also understand the similarities and differences among the different solid figures.
Upon studying this module, you will be able to:
- visualize and describe solid figures.
What I Know
Good day, everyone! In this section, we will try to find out how much you already know about the contents of this module.
Directions: Choose the letter that names the shape of the given figure. Write the letter on a separate answer sheet.
[illustration: a milk can labeled “MILK”]
A. Cone
B. Cylinder
C. Pyramid
D. Prism[illustration: a ball]
A. Cone
B. Cylinder
C. Prism
D. Sphere[illustration: a cone]
A. Cone
B. Cylinder
C. Prism
D. Sphere[illustration: a box labeled “SHOES”]
A. Cube
B. Rectangular prism
C. Rectangular pyramid
D. Sphere[illustration: a bar labeled “CHOCOLATE”]
A. Triangle
B. Triangular cone
C. Triangular prism
D. Triangular pyramid[illustration: a pyramid with triangular faces]
A. Cone
B. Sphere
C. Prism
D. Pyramid[illustration: a party hat]
A. Cone
B. Prism
C. Pyramid
D. Sphere[illustration: three dice]
A. Cube
B. Rectangular prism
C. Rectangular pyramid
D. Square pyramid[illustration: a balloon]
A. Cone
B. Cylinder
C. Prism
D. Sphere[illustration: a square pyramid]
A. Square prism
B. Square Pyramid
C. Rectangular Pyramid
D. Rectangular Prism
Lesson 1: Visualizing and Describing Solid Figures
What’s In
To start our lesson for today, let us have a short review of shapes. In the illustration, identify the different plane figures shown.
[illustration: six plane figures numbered 1 to 6 (1 pentagon, 2 square, 3 rectangle, 4 hexagon, 5 circle, 6 triangle), with the numbers printed on the figures]
- _____________________ 3) _____________________ 5) _____________________
- _____________________ 4) _____________________ 6) _____________________
Congratulations! Knowing the different plane figures will be helpful for our lesson.
What’s New
Read the story below.
The Lim Family is having a birthday party in their vacation house in Tagaytay. Rico, the eldest son, bought a new soccer ball. His younger sister, Ashley, got a box of chocolate. Mrs. Dancey Lim bought 15 pieces of birthday hats while Mr. Fred Lim bought different groceries like cans of milk and toblerone.
Based on the story above, answer the questions below.
- How many different solid figures can be identified from the items brought by the Lim Family?
- What are those?
What Is It
Objects such as balls, boxes and cans are called solid figures. Solid figures are three-dimensional figures. A three-dimensional object has length, width, and height. They may also have faces, edges and vertices. A face is the flat surface of a solid figure. An edge is where two faces meet.
[chart: diagram of a cube; labels: “edges”, “faces”, “vertices (plural form of vertex)”]
- Solid figures are either polyhedron or non-polyhedron.
- A solid is a polyhedron if all its faces are polygons, otherwise, it is a non-polyhedron.
- A polyhedron may be a prism, a pyramid or a platonic solid. In this module, we will only discuss prisms and pyramids.
6 CO_Q3_Mathematics 5_ Module 11
Did you understand the lesson now? If you are still confused, please read the definitions again to learn how the solid figures can be named and described.
Now you are going to answer the activity below in order to check if you are able to visualize the solid figures.
Directions: Fill in the table with the correct information.
| Solid Figures | Number of Faces | Number of Edges | Number of Vertices |
|---|---|---|---|
| 1) [illustration: solid figure] | |||
| 2) [illustration: solid figure] | |||
| 3) [illustration: solid figure] | |||
| 4) [illustration: solid figure] | |||
| 5) [illustration: solid figure] |
7 CO_Q3_Mathematics 5_ Module 11
What’s More
Activity 1: Who Am I
Directions: Identify the solid figure below. Write your answer on the space provided.
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
8 CO_Q3_Mathematics 5_ Module 11
Activity 2: Describe Me
Directions: State whether the figure is a polyhedron or a non-polyhedron. Write the correct answer on the space provided in each item.
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
[illustration: solid figure] _____
Activity 3: Draw Me
Directions: Draw the following solid figures and complete the information needed. Write your answers on a separate answer sheet.
| Solid Figure | Number of Edges | Number of Vertices | Number of Faces |
|---|---|---|---|
| 1) Rectangular prism | _____ | _____ | _____ |
| 2) Cube | _____ | _____ | _____ |
| 3) Triangular pyramid | _____ | _____ | _____ |
9 CO_Q3_Mathematics 5_ Module 11
What I Have Learned
Fill in the Blanks
Directions: Identify the word being described. Write your answer on a separate sheet of paper.
_____ 1) It refers to point of a solid figure where edges meet. _____ 2) This is the flat surface of the solid figure. _____ 3) These are three- dimensional figures. _____ 4) This is formed when two faces of the solid figure meet. _____ 5) It is a polyhedron with only one vertex.
What Can I Do
Multiple Choice
Directions: Read each statement carefully. Choose the best answer and write your answer on a separate answer sheet.
- What is the shape of a regular shoebox?
- A. Rectangular pyramid
- B. Prism
- C. Rectangular prism
- D. Pyramid
- What is the common shape of canned goods?
- A. Cone
- B. Cylinder
- C. Sphere
- D. Pyramid
- What solid figure is the same shape as a birthday hat?
- A. Cone
- B. Cylinder
- C. Prism
- D. Pyramid
- What is the shape of a regular die?
- A. Prism
- B. Pyramid
- C. Cube
- D. Square pyramid
- What solid figure has the same shape as the balls used in basketball, volleyball, baseball, and sepak takraw?
- A. Circle
- B. Cylinder
- C. Pyramid
- D. Sphere
10 CO_Q3_Mathematics 5_ Module 11
Assessment
This activity will help you check whether you understood the lesson very well.
Directions: Choose the letter that names the shape of the given figure. Write the letter on a separate answer sheet.
- [illustration: cone]
- A. Cylinder
- B. Cone
- C. Prism
- D. Pyramid
- [illustration: sphere]
- A. Sphere
- B. Cylinder
- C. Prism
- D. Cone
- [photo: cylindrical can labeled “Corned beef”]
- A. Prism
- B. Cylinder
- C. Cone
- D. Sphere
- [illustration: triangular pyramid]
- A. Cube
- B. Triangular pyramid
- C. Rectangular pyramid
- D. Sphere
- [illustration: triangular prism labeled “CHOCOLATE”]
- A. Cone
- B. Rectangular Prism
- C. Triangular Prism
- D. Triangular Pyramid
- [illustration: pentagonal pyramid]
- A. Cone
- B. Rectangular Prism
- C. Triangular Pyramid
- D. Pentagonal Pyramid
- [illustration: rectangular prism]
- A. Sphere
- B. Pyramid
- C. Prism
- D. Cone
- [illustration: cube]
- A. Cube
- B. Rectangular prism
- C. Rectangular pyramid
- D. Square pyramid
11 CO_Q3_Mathematics 5_ Module 11
- [illustration: four balloons]
- A. Cone
- B. Cylinder
- C. Prism
- D. Sphere
- [illustration: prism]
- A. Square prism
- B. Square Pyramid
- C. Pentagonal Pyramid
- D. Pentagonal Prism
Additional Activities
Directions: Choose the correct answer inside the box that best names what is being described then write it in your answer sheet.
| edge | face | vertex | solid figure | prism | net |
|---|
- It is a solid figure with two parallel and congruent bases.
- It is a three-dimensional figure.
- It is the flat surface of the solid figure
- It is a line segment formed when two faces meet.
- It is a point where edges meet.
12 CO_Q3_Mathematics 5_ Module 11
Answer Key
What’s In
- Pentagon
- Square
- Rectangle
- Hexagon
- Circle
- Triangle
What’s New
- There are 5 solid figures [?] [transcriber’s note: the box in the original holds “5 solid”; the rest of the word is cut off in the image]
- Sphere, rectangular prism, triangular prism, cone, cylinder
What Is It
| Vertex | Edge | Face | |
|---|---|---|---|
| 6 | 9 | 5 | 1 |
| 10 | 15 | 7 | 2 |
| 8 | 12 | 6 | 3 |
| 7 | 12 | 7 | 4 |
| 5 | 8 | 5 | 5 |
Activity 3 Draw Me
| Face | Vertex | Edge | Figure |
|---|---|---|---|
| 6 | 8 | 12 | 1 |
| 6 | 8 | 12 | 2 |
| 4 | 4 | 6 | 3 |
What I Have Learned
- Vertex
- Face
- Solid Figure
- Edge
- Pyramid
What’s More
Activity 1: Who Am I
- Rectangular prism
- Cylinder
- Sphere
- Cube
- Cone
Activity 2: Describe Me
- Polyhedron
- Non-polyhedron
- Polyhedron
- Non-polyhedron
- Non-polyhedron
What I Can Do
- B
- D
- A
- B
- C
- D
- A
- A
- D
- B
Assessment
- B
- A
- B
- B
- C
- D
- C
- A
- D
- D
Additional Activities
- Prism
- Solid Figure
- Face
- Edge
- Vertex
12 CO_Q3_Mathematics 5_ Module 11
References
Lumbre, U., Burgos, P. & Sy, Jr., S. (2016). 21st Century Mathletes 5 Textbook, Vibal Group Inc.
For inquiries or feedback, please write or call:
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