8th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade volume & capacity worksheet.
8th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Show your work. Volume is measured in cubic units (cm³).
1.A rectangular prism is 15 cm long, 3 cm wide and 3 cm high. Find its volume.
Answer: 135 cm3
- V = length × width × height = 15 × 3 × 3
- = 135 cm3
2.A rectangular prism has a volume of 512 cm3. Its base is 8 cm by 8 cm. Find its height.
Answer: 8 cm
- Base area = 8 × 8 = 64 cm2
- Height = 512 ÷ 64 = 8 cm
3.A rectangular prism has a volume of 112 cm3. Its base is 7 cm by 8 cm. Find its height.
Answer: 2 cm
- Base area = 7 × 8 = 56 cm2
- Height = 112 ÷ 56 = 2 cm
4.A rectangular prism is 11 cm long, 2 cm wide and 3 cm high. Find its volume.
Answer: 66 cm3
- V = length × width × height = 11 × 2 × 3
- = 66 cm3
5.A rectangular prism has a volume of 96 cm3. Its base is 8 cm by 6 cm. Find its height.
Answer: 2 cm
- Base area = 8 × 6 = 48 cm2
- Height = 96 ÷ 48 = 2 cm
6.A rectangular prism is 7 cm long, 4 cm wide and 4 cm high. Find its volume.
Answer: 112 cm3
- V = length × width × height = 7 × 4 × 4
- = 112 cm3
7.A rectangular prism is 11 cm long, 6 cm wide and 8 cm high. Find its volume.
Answer: 528 cm3
- V = length × width × height = 11 × 6 × 8
- = 528 cm3
8.A rectangular prism has a volume of 432 cm3. Its base is 8 cm by 9 cm. Find its height.
Answer: 6 cm
- Base area = 8 × 9 = 72 cm2
- Height = 432 ÷ 72 = 6 cm
9.A rectangular prism is 11 cm long, 10 cm wide and 6 cm high. Find its volume.
Answer: 660 cm3
- V = length × width × height = 11 × 10 × 6
- = 660 cm3
10.A rectangular prism has a volume of 160 cm3. Its base is 4 cm by 8 cm. Find its height.
Answer: 5 cm
- Base area = 4 × 8 = 32 cm2
- Height = 160 ÷ 32 = 5 cm
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
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