9th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade volume & capacity worksheet.
9th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 4 — Answers
Show your work. Volume is measured in cubic units (cm³).
1.A rectangular prism is 12 cm long, 2 cm wide and 7 cm high. Find its volume.
Answer: 168 cm3
- V = length × width × height = 12 × 2 × 7
- = 168 cm3
2.A rectangular prism is 10 cm long, 7 cm wide and 4 cm high. Find its volume.
Answer: 280 cm3
- V = length × width × height = 10 × 7 × 4
- = 280 cm3
3.A rectangular prism is 4 cm long, 5 cm wide and 5 cm high. Find its volume.
Answer: 100 cm3
- V = length × width × height = 4 × 5 × 5
- = 100 cm3
4.A triangular prism has a triangular end with base 12 cm and height 5 cm. The prism is 8 cm long. Find its volume.
Answer: 240 cm3
- Area of the triangle = ½ × 12 × 5 = 30 cm2
- V = area of end × length = 30 × 8
- = 240 cm3
5.A rectangular prism is 6 cm long, 4 cm wide and 6 cm high. Find its volume.
Answer: 144 cm3
- V = length × width × height = 6 × 4 × 6
- = 144 cm3
6.A rectangular prism has a volume of 176 cm3. Its base is 11 cm by 8 cm. Find its height.
Answer: 2 cm
- Base area = 11 × 8 = 88 cm2
- Height = 176 ÷ 88 = 2 cm
7.A rectangular prism has a volume of 200 cm3. Its base is 5 cm by 10 cm. Find its height.
Answer: 4 cm
- Base area = 5 × 10 = 50 cm2
- Height = 200 ÷ 50 = 4 cm
8.A rectangular prism has a volume of 462 cm3. Its base is 11 cm by 7 cm. Find its height.
Answer: 6 cm
- Base area = 11 × 7 = 77 cm2
- Height = 462 ÷ 77 = 6 cm
9.A rectangular prism is 7 cm long, 11 cm wide and 6 cm high. Find its volume.
Answer: 462 cm3
- V = length × width × height = 7 × 11 × 6
- = 462 cm3
10.A triangular prism has a triangular end with base 4 cm and height 6 cm. The prism is 6 cm long. Find its volume.
Answer: 72 cm3
- Area of the triangle = ½ × 4 × 6 = 12 cm2
- V = area of end × length = 12 × 6
- = 72 cm3
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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