Questions
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1. What is the definition of volume for a rectangular prism?
2. If you have a cube with each edge measuring 2 cm, how many unit cubes fit inside it?
3. Write the formula for finding the volume of a rectangular prism.
4. A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its
volume?
5. If the volume of a rectangular prism is 120 cm3 and its length is 6 cm and width is 5 cm, what
is its height?
6. A box has a volume of 72 mm3. If its length is 4 mm and its width is 3 mm, what is its height?
7. Explain how counting cubes can help you find the volume of a rectangular prism.
8. A rectangular prism has a volume of 60 cm 3. If its height is 5 cm and its width is 3 cm, what is
its length?
9. Compare the volume of a cube with edge length 3 m to a rectangular prism with dimensions
2 m× 3 m×3 m . Which has a greater volume?
10. Design a rectangular prism with a volume of 48 cm3 using whole number edge lengths. List
at least two possible sets of dimensions.
Answer key
Note: This answer key may contain mistakes. Please check for accuracy
11. The amount of space inside a rectangular prism, measured in cubic units.
12. 8 unit cubes.
13. Volume=length ×width ×height
14. 5 ×3 × 4=60 cm3
120 120
15. Height= = =4 cm
6 ×5 30
72 72
16. Height= = =6 mm
4 × 3 12
17. By counting the number of unit cubes that fit inside the prism, you can find its volume.
60 60
18. Length= = =4 cm
5× 3 15
19. Cube: 3 ×3 ×3=27 m3; Rectangular prism: 2 ×3 ×3=18 m3. The cube has a greater volume.
20. Possible sets: 4 cm× 4 cm×3 cm; 8 cm ×2 cm× 3 cm; 6 cm × 4 cm× 2 cm