Volume - Rectangular Prisms
Word Problems
Volume Expressions
Word Problems
Volume Challenge
100
Use the dimensions of a rectangular prism to find the prism’s volume.
2 in.,9 in., 3 in.
54 cubic inches
100
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet. The freezer part is 2 feet high, 2 feet deep and 3 feet wide.
What is the total volume of the refrigerator-freezer?
39 cubic feet
100
Part A
A rectangular prism is made using 12 unit cubes with no gaps or overlaps. What is the volume of the rectangular prism?
A. 12 units
B. 12 cubic units
C. 6 units
D. 6 cubic units
Part B
A cube has sides that are each 2 units long. What is the volume of the cube?
A. 6 cubic units
B. 8 cubic units
C. 4 cubic units
D. 8 units
Part A- B. 12 cubic units
Part B- B. 8 cubic units
100
A rectangular storage box has a length of 8 feet, a width of 5 feet, and a height of 3 feet. The height of the box is increased by 2 feet. What is the new volume of the storage box?
A. 120 cubic feet
B. 160 cubic feet
C. 200 cubic feet
D. 240 cubic feet
C. 200 cubic feet
100
A rectangular prism has a base area of 18 square inches and a height of 4 inches.
Which equation can be used to find the volume?
A. 18 + 4
B. 18 × 4
C. 18 ÷ 4
D. 18 − 4
B. 18 × 4
200
Use the dimensions of a rectangular prism to find the prism’s volume.
4 in.,5 in., 4 in.
80 cubic inches
200
A restaurant needs a block of ice that is exactly 480 cubic inches in volume. The height of the ice block must be 10 inches. Select all the possible dimensions of the base of the ice block.
A. 4 in. by 12 in.
B. 2 in. by 28 in.
C. 8 in. by 6 in.
D. 3 in. by 16 in.
E. 6 in. by 9 in.
F. 10 in. by 48 in.
A. 4 in. by 12 in.
C. 8 in. by 6 in.
D. 3 in. by 16 in.
200
Part A
A cube is made using 27 unit cubes with no gaps or overlaps. What is the volume of the cube?
A. 9 cubic units
B. 18 cubic units
C. 27 cubic units
D. 54 cubic units
Part B
Which measurement is the correct unit for measuring the volume of a rectangular prism?
A. inches
B. square inches
C. cubic inches
D. inches per square inch
Part A- C. 27 cubic units
Part B- C. cubic inches
200
A baker makes a rectangular cake that is 9 inches long, 6 inches wide, and 2 inches high. The baker adds another 2-inch-thick layer to the top of the cake. What is the new volume of the cake?
A. 108 cubic inches
B. 144 cubic inches
C. 180 cubic inches
D. 216 cubic inches
D. 216 cubic inches
200
A rectangular prism has a length of 9 feet, a width of 4 feet, and a height of 5 feet.
A student says the volume is 36 cubic feet because 9 × 4 = 36.
What mistake did the student make?
A. The student found the perimeter instead of the volume.
B. The student found the base area but did not multiply by the height.
C. The student multiplied the wrong dimensions.
D. The student should have added all three dimensions.
B. The student found the base area but did not multiply by the height.
300
Use the dimensions of a rectangular prism to find the prism’s volume.
6 in.,3 in., 2 in.
36 cubic inches
300
A restaurant needs a block of ice that is exactly 480 cubic inches in volume. The height of the ice block must be 10 inches. What does the area of the base of the ice block need to be for the given volume and height?
48 squared inches
300
Part A
A cube has sides of length 1 unit. What is the cube’s volume?
A. 1 unit
B. 1 cubic unit
C. 3 units
D. 3 cubic units
Part B-
Myra is using unit cubes to pack a solid without gaps or overlaps. It takes 24 unit cubes in all. What is the solid’s volume?
A. 8 units
B. 8 cubic units
C. 24 units
D. 24 cubic units
Part A-
B. 1 cubic unit
Part B-
D. 24 cubic units
300
A rectangular aquarium has a length of 10 inches, a width of 6 inches, and a height of 4 inches. The aquarium is filled with water to a height of 3 inches. What is the volume of the water?
A. 120 cubic inches
B. 180 cubic inches
C. 200 cubic inches
D. 240 cubic inches
B. 180 cubic inches
300
Two rectangular prisms have the same volume.
Prism A:
Base area = 24 square inches
Height = 5 inches
Prism B:
Base area = 30 square inches
Height = ?
What is the height of Prism B?
A. 3 inches
B. 4 inches
C. 5 inches
D. 6 inches
B. 4 inches
400
Use the dimensions of a rectangular prism to find the prism’s volume.
4 in.,3 in., 6in.
72 cubic inches
400
The baker adds another 1-inch-thick layer to the bottom of the sheet cake. The height of the sheet cake is now 4 inches. What is the volume of the sheet cake?
A. 200 cubic inches
B. 240 cubic inches
C. 180 cubic inches
D. 220 cubic inches
B. 240 cubic inches
400
Part A- What is the volume of the gift shown?
Part B
Part B
Which equation was used to find the volume in Part A?
A. 𝑉 =𝑙 ×𝑤 ×ℎ
B. 𝑉 =𝑏 ×𝑏 ×ℎ
C. 𝑉 =𝑏 ×ℎ
D. 𝑉 =𝑙 ×𝑤
Part A-
1,120 cubic inches
Part B-
C. 𝑉 =𝑏 ×ℎ
400
Part A-
A fish tank is 7 feet long, 4 feet wide, and 3 feet deep. What is the volume of the fish tank?
Part B-
The tank is filled with water to a depth of 2 feet. What is the volume of the water?
A- 84 ft³
B- 56 ft³
400
A rectangular storage container has a base area of 48 square feet and a height of 6 feet.
The container is filled with boxes that take up 192 cubic feet of space.
How many cubic feet of empty space remain?
A. 48 cubic feet
B. 96 cubic feet
C. 192 cubic feet
D. 288 cubic feet
B.96 cubic feet
500
Rhonda used unit cubes to make a rectangular prism.
What is the volume of the prism?
42 cubic units
500
Part A-
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.What is the volume of the aquarium? Enter your answer in the box.
Part B-
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
Part A- 40 cubic inches
Part B- 20 cubic inches
500
Which of the following expressions could be used to find the volume of the sheet cake? Select all that apply.
A. 60 × 3
B. 12 + 5 + 3
C. 3 × 5 × 12
D. 12 × 5
E. (3 × 5) × 12
A. 60 × 3
C. 3 × 5 × 12
E. (3 × 5) × 12
500
Part A-
Marcus has a rectangular storage container that is 6 feet long, 3 feet wide, and 4 feet tall. What is the volume of the container?
Part B-
Marcus fills the container with packing material to a height of 2 feet. What is the volume of the packing material?
A: 72 ft³
B: 36 ft³
500
A rectangular prism has a length of 12 inches, a width of 8 inches, and a height of 6 inches.
The prism is cut into two smaller rectangular prisms of equal volume.
The first prism has a length of 6 inches, a width of 8 inches, and a height of 6 inches.
What is the volume of the second prism?
A. 144 cubic inches
B. 192 cubic inches
C. 288 cubic inches
D. 576 cubic inches
C. 288 cubic inches