6th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade volume & capacity worksheet.
6th Grade Volume of Prisms and Cylinders Worksheet — Level 2 — Practice Set 3 — Answers
Show your work. Volume is measured in cubic units (cm³).
1.A rectangular prism is 12 cm long, 3 cm wide and 6 cm high. Find its volume.
Answer: 216 cm3
- V = length × width × height = 12 × 3 × 6
- = 216 cm3
2.A triangular prism has a triangular end with base 12 cm and height 5 cm. The prism is 15 cm long. Find its volume.
Answer: 450 cm3
- Area of the triangle = ½ × 12 × 5 = 30 cm2
- V = area of end × length = 30 × 15
- = 450 cm3
3.A rectangular prism has a volume of 216 cm3. Its base is 12 cm by 6 cm. Find its height.
Answer: 3 cm
- Base area = 12 × 6 = 72 cm2
- Height = 216 ÷ 72 = 3 cm
4.A rectangular prism has a volume of 80 cm3. Its base is 5 cm by 2 cm. Find its height.
Answer: 8 cm
- Base area = 5 × 2 = 10 cm2
- Height = 80 ÷ 10 = 8 cm
5.A rectangular prism has a volume of 252 cm3. Its base is 4 cm by 9 cm. Find its height.
Answer: 7 cm
- Base area = 4 × 9 = 36 cm2
- Height = 252 ÷ 36 = 7 cm
6.A rectangular prism is 4 cm long, 11 cm wide and 10 cm high. Find its volume.
Answer: 440 cm3
- V = length × width × height = 4 × 11 × 10
- = 440 cm3
7.A rectangular prism is 13 cm long, 9 cm wide and 10 cm high. Find its volume.
Answer: 1,170 cm3
- V = length × width × height = 13 × 9 × 10
- = 1,170 cm3
8.A rectangular prism is 2 cm long, 5 cm wide and 5 cm high. Find its volume.
Answer: 50 cm3
- V = length × width × height = 2 × 5 × 5
- = 50 cm3
9.A rectangular prism has a volume of 64 cm3. Its base is 8 cm by 4 cm. Find its height.
Answer: 2 cm
- Base area = 8 × 4 = 32 cm2
- Height = 64 ÷ 32 = 2 cm
10.A rectangular prism has a volume of 144 cm3. Its base is 12 cm by 3 cm. Find its height.
Answer: 4 cm
- Base area = 12 × 3 = 36 cm2
- Height = 144 ÷ 36 = 4 cm
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.