47777
Mathematics
Quarter 4 – Module 4
Measuring Volume
Mathematics – Grade 4
Alternative Delivery Mode
Quarter 4 – Module 4: Measuring Volume
First Edition, 2020
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Published by the Department of Education
Secretary: Leonor Magtolis Briones
Undersecretary: Diosdado M. San Antonio
Development Team of the Module
Writer: Cirila P. Encio
Editors: Ivy C. Añosa PhD
Estrella I. Peliño
Management Team: Bianito A. Dagatan EdD, CESO V
Schools Division Superintendent
Casiana P. Caberte PhD
Assistant Schools Division Superintendent
Felix C. Galacio Jr. PhD
EPS, Mathematics
Josephine D. Eronico PhD
EPS, LRMDS
Printed in the Philippines by Schools Division of Bohol
Department of Education – Region VII, Central Visayas
Office Address: 0050 Lino Chatto Drive Barangay Cogon, Tagbilaran City,
Bohol
Telefax: (038) 501 – 7550
Tel Nos. (038) 412 – 4938; (038) 411-2544; (038) 501 – 7550
E-mail Address: depedbohol@deped.gov.ph
Learning Competencies:
Finds the volume of a rectangular prism using cu. cm and cu. m. M4ME-IVe-64
Solves routine and non-routine problems involving the volume of a rectangular prism.
M4ME-IVf-65
At the end of the lesson, you are expected to:
Find the volume of rectangular prism using cu. cm and cu. m.;
Solves routine and non-routine problems; and
Lesson
Finding the Volume of a Rectangular Prism
1
What is it
How do you find the volume of rectangular prism?
Remember this:
Volume is measured in cubic units such as cubic centimeters ( 𝒄𝒎𝟑 ),
cubic meters ( 𝒎𝟑 ) and cubic millimeters ( 𝒎𝒎𝟑)
Use V = l x w x h to find the volume of a rectangular prism. Here l is the
length, w is the width and h is the height of the rectangular prism.
Use V = 𝒔𝟑 to find the volume of a cube. Here, s is an edge of a cube.
What’s More
Direction: Find each volume using the appropriate formula.
1. 2.
Lesson Solving Routine and Non-Routine Problems
2 Involving Volume of a Rectangular Prism
What is it
Explore and Discover!
An aquarium has a length of 120 centimeters, a width of 60 centimeters, and
a height of 100 centimeters. How much water is needed to fill the aquarium?
How will you solve the problem?
You can solve the problem following these steps:
STEPS ANSWER
Understand:
Know what is asked in the The amount of water needed to fill the
problem aquarium.
Know the given facts length = 120 cm; width = 60 cm;
height = 100 cm
Plan:
Determine the operation or Multiplication: V = l x w x h
formula to use
Solve:
V=lxwxh
Show the solution using the = Substitute 120 for l, 60 for w, and
formula 100 for h
= 120 cm x 60 cm x 100 cm
V = 720 000 𝒄𝒎𝟑
Check and look back:
Check your answer You need 720 000 𝑐𝑚3 of water to fill the
State your answer aquarium.
What’s More
Direction: Read the problem. Then, answer the questions that follow.
Amy has a box measuring 25 cm long, 20 cm wide, and 20 cm
high. If she will store rice in it, how many cubic cm of rice will it contain?
1. What is asked in the problem?
2. What facts are given?
3. What operaton will be used or formula to use?
4. Solve and answer.
Lesson Solving Routine and Non-Routine Problems
3 Involving the Volume of a Rectangular Prism
What is it
Remember this:
To solve routine and non-routine word problem involving the volume
of a rectangular prism:
We use the 4-step plan in solving the problem
We use the appropriate formula
V=lxwxh
How about if the volume is given and either the length, width, or height is missing?
How will you solve it?
Example:
A building is 16 meters long and 9 meters wide. It has a volume of
3 312 cubic meters. How tall is the building?
STEPS ANSWER
Understand:
Know what is asked in the The height of the building.
problem
Know the given facts Volume = 3 312 𝑐𝑚3 ; length = 16 cm;
width = 9 cm
Plan:
Determine the operation or Multiplication and Division:
formula to use h = V÷ (l x w)
Solve:
h = V÷ ( l x w )
Show the solution using the = substitute 3 312𝑐𝑚3 for V, 16 cm for l
formula and 9 cm for w
= 3 312 𝑐𝑚3 ÷ (16 cm x 9 cm)
= 3 312 ÷ 144
h = 23 m
Check and look back:
Check your answer The height of the building is 23 m.
State your answer
What’s More
Direction: Find the volume of each problem using the formula.
1. A vault has a volume of 360 𝑚3 . It is 9 meters tall and 8 meters long.
How wide is the vault?
2. A rectangular prism is 7 cm long, 4 cm wide, and 5 cm high.
What is its volume?
QUARTER 4 (Week 3 & 4)
(PERFORMANCE TASK) Do what is asked creatively.
Look for a rectangular prism in your house. It can be a cereal box, a medicine box or a
shoe box. Measure the length, width and height of your box. Draw the box inside the shape
below and compute for its volume.
RUBRICS: Rate the performance of the learner in the given task by checking the
appropriate box below.
CRITERIA Excellent Very Good Good Needs
(4) (3) (2) Improvement
(1)
Demonstrates a clear
knowledge or application
of math skills.
Accurately communicates
solutions to problems and
concepts.
Presentation of the
solution.
Neatness and cleanliness
of the drawing.
Assessment
I - Direction: Write TRUE if the statement is true and FALSE, if not.
1. The amount of space inside an object is called the volume of the object.
2. Volume is measured in square units.
3. To find the volume of a rectangular prism, multiply the length, width, and height.
II – Direction: Choose the letter of the best answer. Write your answer on the answer sheet.
4. A box has a volume of 480 𝑐𝑚3 . It is 10 cm long and 6 cm tall. How wide is the box?
a. 4 cm b. 6 cm c. 8 cm d. 10 cm
5. A rectangular prism is 3 cm tall, 8 cm long, and 6 cm wide. What is the volume
of the rectangular prism?
a. 17 𝑐𝑚3 b. 27 𝑐𝑚3 c. 51 𝑐𝑚3 d. 144 𝑐𝑚3
6. How much water can fill a tank that is 9 meters long, 5 meters wide, and
6 meters high?
a. 140 𝑚3 b. 180 𝑚3 c. 250 𝑚3 d. 270 𝑚3
7. A cooler has a volume of 500 𝑖𝑛3 . If it is 10 inches high and 5 inches wide,
how long is the cooler? What is asked in the problem?
a. the width of the cooler b. the length of the cooler
c. the volume of the cooler d. the height of the cooler
8. What is the answer of the above problem?
a. 5 in b. 8 in c. 10 in d. 12 in
9. A cargo truck is 8 meters long, 4 meters wide, and 3 meters high. How much can a cargo
truck can hold? What are given in the problem?
a. 8 meters high; 4 meters long and 3 meters width
b. 8 meters high; 4 meters width and 3 meters long
c. 8 meters tall; 4 meters length and 3 meters width
d. 8 meters length; 4 meters width and 3 meters height
10. A box is 5 feet tall, 3 feet wide, and 3 feet long. What is the volume of the box?
a. 11 𝑓𝑡 3 b. 15 𝑓𝑡 3 c. 45 𝑓𝑡 3 d. 60 𝑓𝑡 3
SUMMATIVE TEST NO. 1
MATH 4, QUARTER 4
Name: ________________________________Gr./Section: _____________Score:______
I – Directions: Fill in the blank with the correct answer. Choose your answer from the words
inside the box.
A. area B. base
C. width D. height
E. square units
1. To get the area of a rectangle we multiply its length and _____________ .
2. The amount of space inside a shape is its _____________ .
3. To get the area of a triangle, we get half of the product of the base and __________.
4. To get the area of a parallelogram we multiply the _______ by the height.
5. The amount of space covered inside a shape is measured in _______________ .
II. Choose the letter of the correct answer.
6. Which formula below computes for the area of a rectangle?
1
A. A=lxw B. A = 2 b x h
1
C. A = 2 (l) + 2 (w) D. A = 2 h x ( 𝑏1 + 𝑏2 )
7. What do you call the number of square units within a closed figure?
A. perimeter B. distance C. volume D. area
8. A rectangular parking space is 14 m long and 9 meter wide. What is the area of
the parking space?
A. 46 𝑚2 B. 54 𝑚2 C. 126 𝑚2 D. 134 𝑚2
9. A rectangular garden has an area of 450 𝑚2 . If the length of the garden is 25 m,
What is its width?
A. 18 m B. 23 m C. 140 m D. 180 m
10. Ronald’s room has an area of 18 square meters. He wants to change the vinyl tiles
because they are old already. One square meter of the vinyl tile costs Php 252.00.
How much would it cost Ronald to change the tiles of his room?
A. Php 3 445.00 B. Php 4 356.00
C. Php 4 536.00 D. Php 5 634.00
11. What is the area of a triangle whose base measures 18 cm and height measures 20 cm?
A. 108 sq. cm B. 180 m C. 180 sq. cm. D. 360 sq. cm
12. A sailboat has a triangular sail with a height of 40 cm. If the base of the sail is 20 cm,
what is the area?
A. 400 sq. cm B. 400 sq. m C. 800 sq. cm D. 800 sq. m
13. What is asked in the problem above?
A. The area of the sail. B. The area of sailboat.
C. The height of the sailboat. D. The base and height of the sail.
14. What are givens in problem number 12?
A. height is 40 cm B. base is 20 cm
C. height is 40 cm; base is 20 cm D. height is 40 m; base is 20 m
15. A trapezoid-shaped cardboard has a height of 10 cm and its bases are 7 cm and
8 cm. What is the area of the cardboard?
A. 50 cu. cm B. 75 cu. cm C. 150 cu. cm D. 250 cu. cm
Answer Sheet
Name: __________________________________________________________
Grade & Section: ________________ Score: _______
Quarter 4 – Module 4
Lesson 1
What’s More
1. 2.
Lesson 2
What’s More
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Lesson 3
What’s More
1. 2.
Assessment
1. 2. 3. 4. 5.
6. 7. 8. 9. 10.
Answer Sheet
Name: __________________________________________________________
Grade & Section: ________________ Score: _______
SUMMATIVE TEST NO. 1
MATH 4, QUARTER 4
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