5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 5th Grade volume & capacity worksheet.
5th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 4 — Answers
Show your work. Use the π button on your calculator and round to 1 decimal place.
1.A cylinder has a radius of 9 cm and a height of 17 cm. Find its volume, correct to 1 decimal place.
Answer: 4326.0 cm3
- V = π × r2 × h = π × 92 × 17
- = π × 1377
- ≈ 4326.0 cm3
2.A cylinder has a radius of 10 cm and a height of 12 cm. Find its volume, correct to 1 decimal place.
Answer: 3769.9 cm3
- V = π × r2 × h = π × 102 × 12
- = π × 1200
- ≈ 3769.9 cm3
3.A cylinder has a radius of 6 cm and a height of 16 cm. Find its volume, correct to 1 decimal place.
Answer: 1809.6 cm3
- V = π × r2 × h = π × 62 × 16
- = π × 576
- ≈ 1809.6 cm3
4.A triangular prism has a triangular end with base 12 cm and height 2 cm. The prism is 15 cm long. Find its volume.
Answer: 180 cm3
- Area of the triangle = ½ × 12 × 2 = 12 cm2
- V = area of end × length = 12 × 15
- = 180 cm3
5.A triangular prism has a triangular end with base 22 cm and height 3 cm. The prism is 12 cm long. Find its volume.
Answer: 396 cm3
- Area of the triangle = ½ × 22 × 3 = 33 cm2
- V = area of end × length = 33 × 12
- = 396 cm3
6.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 5 cm long. Find its volume.
Answer: 30 cm3
- Area of the triangle = ½ × 4 × 3 = 6 cm2
- V = area of end × length = 6 × 5
- = 30 cm3
7.A cylinder has a radius of 6 cm and a height of 13 cm. Find its volume, correct to 1 decimal place.
Answer: 1470.3 cm3
- V = π × r2 × h = π × 62 × 13
- = π × 468
- ≈ 1470.3 cm3
8.A triangular prism has a triangular end with base 22 cm and height 8 cm. The prism is 10 cm long. Find its volume.
Answer: 880 cm3
- Area of the triangle = ½ × 22 × 8 = 88 cm2
- V = area of end × length = 88 × 10
- = 880 cm3
9.A cylinder has a radius of 4 cm and a height of 8 cm. Find its volume, correct to 1 decimal place.
Answer: 402.1 cm3
- V = π × r2 × h = π × 42 × 8
- = π × 128
- ≈ 402.1 cm3
10.A cylinder has a radius of 5 cm and a height of 14 cm. Find its volume, correct to 1 decimal place.
Answer: 1099.6 cm3
- V = π × r2 × h = π × 52 × 14
- = π × 350
- ≈ 1099.6 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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