Year 6 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 6 volume & capacity worksheet.
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Volume & CapacityYear 6 Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 2 — Answers
Show your working. Volume is measured in cubic units (cm³).
1.A rectangular prism is 4 cm long, 9 cm wide and 7 cm high. Find its volume.
Answer: 252 cm3
- V = length × width × height = 4 × 9 × 7
- = 252 cm3
2.A rectangular prism is 8 cm long, 6 cm wide and 8 cm high. Find its volume.
Answer: 384 cm3
- V = length × width × height = 8 × 6 × 8
- = 384 cm3
3.A rectangular prism is 15 cm long, 12 cm wide and 8 cm high. Find its volume.
Answer: 1,440 cm3
- V = length × width × height = 15 × 12 × 8
- = 1,440 cm3
4.A rectangular prism has a volume of 84 cm3. Its base is 7 cm by 2 cm. Find its height.
Answer: 6 cm
- Base area = 7 × 2 = 14 cm2
- Height = 84 ÷ 14 = 6 cm
5.A triangular prism has a triangular end with base 4 cm and height 3 cm. The prism is 14 cm long. Find its volume.
Answer: 84 cm3
- Area of the triangle = ½ × 4 × 3 = 6 cm2
- V = area of end × length = 6 × 14
- = 84 cm3
6.A rectangular prism has a volume of 66 cm3. Its base is 11 cm by 3 cm. Find its height.
Answer: 2 cm
- Base area = 11 × 3 = 33 cm2
- Height = 66 ÷ 33 = 2 cm
7.A triangular prism has a triangular end with base 6 cm and height 5 cm. The prism is 12 cm long. Find its volume.
Answer: 180 cm3
- Area of the triangle = ½ × 6 × 5 = 15 cm2
- V = area of end × length = 15 × 12
- = 180 cm3
8.A triangular prism has a triangular end with base 16 cm and height 6 cm. The prism is 14 cm long. Find its volume.
Answer: 672 cm3
- Area of the triangle = ½ × 16 × 6 = 48 cm2
- V = area of end × length = 48 × 14
- = 672 cm3
9.A rectangular prism is 2 cm long, 7 cm wide and 10 cm high. Find its volume.
Answer: 140 cm3
- V = length × width × height = 2 × 7 × 10
- = 140 cm3
10.A triangular prism has a triangular end with base 10 cm and height 3 cm. The prism is 3 cm long. Find its volume.
Answer: 45 cm3
- Area of the triangle = ½ × 10 × 3 = 15 cm2
- V = area of end × length = 15 × 3
- = 45 cm3
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