6th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade volume & capacity worksheet.
Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Volume & Capacity6th Grade Volume of Prisms and Cylinders Worksheet — Level 3 — Practice Set 3 — Answers
Show your work. Use the π button on your calculator and round to 1 decimal place.
1.A triangular prism has a triangular end with base 20 cm and height 10 cm. The prism is 3 cm long. Find its volume.
Answer: 300 cm3
- Area of the triangle = ½ × 20 × 10 = 100 cm2
- V = area of end × length = 100 × 3
- = 300 cm3
2.A rectangular prism has a volume of 693 cm3. Its base is 11 cm by 9 cm. Find its height.
Answer: 7 cm
- Base area = 11 × 9 = 99 cm2
- Height = 693 ÷ 99 = 7 cm
3.A cylinder has a radius of 7 cm and a height of 5 cm. Find its volume, correct to 1 decimal place.
Answer: 769.7 cm3
- V = π × r2 × h = π × 72 × 5
- = π × 245
- ≈ 769.7 cm3
4.A rectangular prism has a volume of 440 cm3. Its base is 11 cm by 5 cm. Find its height.
Answer: 8 cm
- Base area = 11 × 5 = 55 cm2
- Height = 440 ÷ 55 = 8 cm
5.A rectangular prism has a volume of 240 cm3. Its base is 6 cm by 5 cm. Find its height.
Answer: 8 cm
- Base area = 6 × 5 = 30 cm2
- Height = 240 ÷ 30 = 8 cm
6.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 13 cm long. Find its volume.
Answer: 936 cm3
- Area of the triangle = ½ × 16 × 9 = 72 cm2
- V = area of end × length = 72 × 13
- = 936 cm3
7.A cylinder has a radius of 6 cm and a height of 20 cm. Find its volume, correct to 1 decimal place.
Answer: 2261.9 cm3
- V = π × r2 × h = π × 62 × 20
- = π × 720
- ≈ 2261.9 cm3
8.A triangular prism has a triangular end with base 16 cm and height 9 cm. The prism is 8 cm long. Find its volume.
Answer: 576 cm3
- Area of the triangle = ½ × 16 × 9 = 72 cm2
- V = area of end × length = 72 × 8
- = 576 cm3
9.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
10.A rectangular prism has a volume of 192 cm3. Its base is 8 cm by 6 cm. Find its height.
Answer: 4 cm
- Base area = 8 × 6 = 48 cm2
- Height = 192 ÷ 48 = 4 cm
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