Year 6 Volume of Prisms and Cylinders Worksheet — Level 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 — Answers
Show your working. Volume is measured in cubic units (cm³).
1.A rectangular prism is 13 cm long, 12 cm wide and 10 cm high. Find its volume.
Answer: 1,560 cm3
- V = length × width × height = 13 × 12 × 10
- = 1,560 cm3
2.A triangular prism has a triangular end with base 4 cm and height 6 cm. The prism is 14 cm long. Find its volume.
Answer: 168 cm3
- Area of the triangle = ½ × 4 × 6 = 12 cm2
- V = area of end × length = 12 × 14
- = 168 cm3
3.A triangular prism has a triangular end with base 22 cm and height 6 cm. The prism is 11 cm long. Find its volume.
Answer: 726 cm3
- Area of the triangle = ½ × 22 × 6 = 66 cm2
- V = area of end × length = 66 × 11
- = 726 cm3
4.A triangular prism has a triangular end with base 4 cm and height 6 cm. The prism is 10 cm long. Find its volume.
Answer: 120 cm3
- Area of the triangle = ½ × 4 × 6 = 12 cm2
- V = area of end × length = 12 × 10
- = 120 cm3
5.A triangular prism has a triangular end with base 6 cm and height 2 cm. The prism is 14 cm long. Find its volume.
Answer: 84 cm3
- Area of the triangle = ½ × 6 × 2 = 6 cm2
- V = area of end × length = 6 × 14
- = 84 cm3
6.A rectangular prism has a volume of 385 cm3. Its base is 11 cm by 5 cm. Find its height.
Answer: 7 cm
- Base area = 11 × 5 = 55 cm2
- Height = 385 ÷ 55 = 7 cm
7.A rectangular prism has a volume of 180 cm3. Its base is 5 cm by 9 cm. Find its height.
Answer: 4 cm
- Base area = 5 × 9 = 45 cm2
- Height = 180 ÷ 45 = 4 cm
8.A triangular prism has a triangular end with base 16 cm and height 2 cm. The prism is 14 cm long. Find its volume.
Answer: 224 cm3
- Area of the triangle = ½ × 16 × 2 = 16 cm2
- V = area of end × length = 16 × 14
- = 224 cm3
9.A triangular prism has a triangular end with base 6 cm and height 6 cm. The prism is 14 cm long. Find its volume.
Answer: 252 cm3
- Area of the triangle = ½ × 6 × 6 = 18 cm2
- V = area of end × length = 18 × 14
- = 252 cm3
10.A rectangular prism has a volume of 540 cm3. Its base is 12 cm by 9 cm. Find its height.
Answer: 5 cm
- Base area = 12 × 9 = 108 cm2
- Height = 540 ÷ 108 = 5 cm
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