Perimeter, area and volume · Ages 10–11
Volume of cubes and cuboids worksheet
Part of: Volume
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Volume of cubes and cuboids worksheet
Perimeter, area and volume · Ages 10–11
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Volume of the cube = ? cm³
Answer:
2.Volume of the cube = ? cm³
Answer:
3.Volume of the cuboid = ? cm³
Answer:
4.Volume of the solid = ? cm³
Answer:
5.Volume of the solid = ? cm³
Answer:
6.Volume of the cuboid = ? cm³
Answer:
7.Volume of the solid = ? cm³
Answer:
8.Volume of the cuboid = ? cm³
Answer:
9.Volume of the solid = ? cm³
Answer:
10.Volume of the cuboid = ? m³
Answer:
11.Volume of the cube = ? m³
Answer:
12.Volume of the solid = ? cm³
Answer:
Part B: Word problems (4 marks each)
13.A cube-shaped ornament has edges 10 cm long. What is its volume, in cubic centimetres?
Working:
Answer:
14.1 cm³ cubes are used to build a solid cuboid 5 cm long, 5 cm wide and 3 cm high. How many small cubes are needed?
Working:
Answer:
15.A cuboid has a volume of 442 cm³. It is 17 cm long and 13 cm wide. How high is it, in centimetres?
Working:
Answer:
16.A cube-shaped ornament has edges 4 cm long. What is its volume, in cubic centimetres?
Working:
Answer:
17.1 cm³ cubes are used to build a solid cuboid 8 cm long, 8 cm wide and 5 cm high. How many small cubes are needed?
Working:
Answer:
18.A cuboid gift box is 22 cm long, 11 cm wide and 5 cm high. What is its volume, in cubic centimetres?
Working:
Answer:
Show the answers and working
Volume of cubes and cuboids worksheet: Answers and working
Part A: Working out and filling in
1. Volume of the cube = 1000 cm³
A cube's volume is edge × edge × edge: 10 × 10 = 100, 100 × 10 = 1000, so 1000 cm³
2. Volume of the cube = 64 cm³
A cube's volume is edge × edge × edge: 4 × 4 = 16, 16 × 4 = 64, so 64 cm³
3. Volume of the cuboid = 196 cm³
A cuboid's volume is length × width × height: 7 × 4 = 28, 28 × 7 = 196, so 196 cm³
4. Volume of the solid = 6 cm³
One layer is 3 × 2 = 6 small cubes, and there are 1 layers: 6 × 1 = 6 (count the hidden ones too), so 6 cm³
5. Volume of the solid = 27 cm³
One layer is 3 × 3 = 9 small cubes, and there are 3 layers: 9 × 3 = 27 (count the hidden ones too), so 27 cm³
6. Volume of the cuboid = 160 cm³
A cuboid's volume is length × width × height: 10 × 8 = 80, 80 × 2 = 160, so 160 cm³
7. Volume of the solid = 18 cm³
One layer is 3 × 2 = 6 small cubes, and there are 3 layers: 6 × 3 = 18 (count the hidden ones too), so 18 cm³
8. Volume of the cuboid = 162 cm³
A cuboid's volume is length × width × height: 3 × 6 = 18, 18 × 9 = 162, so 162 cm³
9. Volume of the solid = 8 cm³
One layer is 2 × 1 = 2 small cubes, and there are 4 layers: 2 × 4 = 8 (count the hidden ones too), so 8 cm³
10. Volume of the cuboid = 30 m³
A cuboid's volume is length × width × height: 5 × 2 = 10, 10 × 3 = 30, so 30 m³
11. Volume of the cube = 64 m³
A cube's volume is edge × edge × edge: 4 × 4 = 16, 16 × 4 = 64, so 64 m³
12. Volume of the solid = 6 cm³
One layer is 3 × 1 = 3 small cubes, and there are 2 layers: 3 × 2 = 6 (count the hidden ones too), so 6 cm³
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A cube-shaped ornament has edges 10 cm long. What is its volume, in cubic centimetres? (Answer: 1000 cm³)
10 × 10 × 10 = 1000
14. 1 cm³ cubes are used to build a solid cuboid 5 cm long, 5 cm wide and 3 cm high. How many small cubes are needed? (Answer: 75 cubes)
5 × 5 × 3 = 75
15. A cuboid has a volume of 442 cm³. It is 17 cm long and 13 cm wide. How high is it, in centimetres? (Answer: 2 cm)
17 × 13 = 221; 442 ÷ (17 × 13) = 2
16. A cube-shaped ornament has edges 4 cm long. What is its volume, in cubic centimetres? (Answer: 64 cm³)
4 × 4 × 4 = 64
17. 1 cm³ cubes are used to build a solid cuboid 8 cm long, 8 cm wide and 5 cm high. How many small cubes are needed? (Answer: 320 cubes)
8 × 8 × 5 = 320
18. A cuboid gift box is 22 cm long, 11 cm wide and 5 cm high. What is its volume, in cubic centimetres? (Answer: 1210 cm³)
22 × 11 × 5 = 1210
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