Perimeter, area and volume · Ages 10–11
Volume by counting cubes worksheet
Part of: Volume
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Volume by counting cubes 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.The cuboid is built of 1 cm³ cubes. What is its volume in cm³?
Answer:
2.The solid is built of 1 cm³ cubes (every column stands on the ground). What is its volume in cm³?
Answer:
Part B: Choose, or true or false (2 marks each)
3.1 cm cubes are built into a big cube with 4 along each edge. What is the big cube's volume?
- A. 16 cm³
- B. 12 cm³
- C. 24 cm³
- D. 64 cm³
Choose the right answer
Answer:
4.1 cm cubes are built into a big cube with 8 along each edge. What is the big cube's volume?
- A. 64 cm³
- B. 48 cm³
- C. 512 cm³
- D. 24 cm³
Choose the right answer
Answer:
5.1 cm cubes are built into a big cube with 5 along each edge. What is the big cube's volume?
- A. 25 cm³
- B. 30 cm³
- C. 125 cm³
- D. 15 cm³
Choose the right answer
Answer:
6.1 cm cubes are built into a big cube with 9 along each edge. What is the big cube's volume?
- A. 27 cm³
- B. 729 cm³
- C. 54 cm³
- D. 81 cm³
Choose the right answer
Answer:
7.These four solids are built of 1 cm³ cubes. Which has the largest volume?
- A
- B
- C
- D
Choose the right picture
Answer:
8.The cuboid is built of 1 cm³ cubes and has a volume of 45 cm³.
True or false?
Answer:
9.The cuboid is built of 1 cm³ cubes and has a volume of 15 cm³.
True or false?
Answer:
10.The cuboid is built of 1 cm³ cubes and has a volume of 9 cm³.
True or false?
Answer:
11.The cuboid is built of 1 cm³ cubes and has a volume of 16 cm³.
True or false?
Answer:
12.The cuboid is built of 1 cm³ cubes and has a volume of 60 cm³.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.Chi-keung builds the solid in the picture from 1 cm³ blocks (every column stands on the ground), then adds 2 more. What is the volume now, in cm³?
Working:
Answer:
14.Ka-yee builds the cuboid in the picture from 1 cm³ blocks, and Ming uses 34 of the same blocks for another solid. How many cm³ apart are their volumes?
Working:
Answer:
15.The solid is built of 1 cm³ cubes (every column stands on the ground). At least how many more cubes make it a cuboid 3 cubes long, 2 wide and 2 high?
Working:
Answer:
16.Ming builds the solid in the picture from 1 cm³ blocks (every column stands on the ground), then adds 4 more. What is the volume now, in cm³?
Working:
Answer:
17.Chi-keung builds the cuboid in the picture from 1 cm³ blocks, and Ka-lok uses 38 of the same blocks for another solid. How many cm³ apart are their volumes?
Working:
Answer:
18.The solid is built of 1 cm³ cubes (every column stands on the ground). At least how many more cubes make it a cuboid 3 cubes long, 2 wide and 3 high?
Working:
Answer:
Show the answers and working
Volume by counting cubes worksheet: Answers and working
Part A: Working out and filling in
1. 6 cm³
Count the cubes in one layer first, then count the layers.
2 × 3 = 6 a layer, 1 layers: 6 × 1 = 6.
2. 11 cm³
Go column by column: count each back column, then each front one.
Column by column: back 3 + 2 + 1, front 3 + 1 + 1: 11 cubes.
Part B: Choose, or true or false
3. D. 64 cm³
Work out one layer first: 4 along each edge, so 4 × 4 in a layer. Then how many layers are there?
4 × 4 a layer, 4 layers: 4 × 4 × 4 = 64.
4. C. 512 cm³
Work out one layer first: 8 along each edge, so 8 × 8 in a layer. Then how many layers are there?
8 × 8 a layer, 8 layers: 8 × 8 × 8 = 512.
5. C. 125 cm³
Work out one layer first: 5 along each edge, so 5 × 5 in a layer. Then how many layers are there?
5 × 5 a layer, 5 layers: 5 × 5 × 5 = 125.
6. B. 729 cm³
Work out one layer first: 9 along each edge, so 9 × 9 in a layer. Then how many layers are there?
9 × 9 a layer, 9 layers: 9 × 9 × 9 = 729.
7. B
For each one, work out the cubes in a layer times the layers, then compare the four.
Count each one's cubes (a layer × layers); the most cubes is the largest volume.
8. True
You only see the front. Count a layer (length × width), multiply by the layers, and compare with 45.
Don't count only the front: 5 × 3 a layer, 3 layers, 45 in all.
9. False
You only see the front. Count a layer (length × width), multiply by the layers, and compare with 15.
Don't count only the front: 5 × 3 a layer, 3 layers, 45 in all.
10. False
You only see the front. Count a layer (length × width), multiply by the layers, and compare with 9.
Don't count only the front: 3 × 3 a layer, 3 layers, 27 in all.
11. True
You only see the front. Count a layer (length × width), multiply by the layers, and compare with 16.
Don't count only the front: 2 × 2 a layer, 4 layers, 16 in all.
12. True
You only see the front. Count a layer (length × width), multiply by the layers, and compare with 60.
Don't count only the front: 5 × 3 a layer, 4 layers, 60 in all.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 13 cm³
Count the picture's blocks column by column first, then add the 2.
The picture has 11 blocks; with 2 more: 13 cm³.
14. 22 cm³
Count the cuboid's blocks first (a layer × the layers), then compare with 34.
The cuboid has 2 × 3 × 2 = 12; against 34 that is 22 apart.
15. 4 cubes
Work out how many cubes a 3 × 2 × 2 cuboid needs, then count how many the picture has.
The cuboid needs 3 × 2 × 2 = 12; there are 8: 4 more.
16. 23 cm³
Count the picture's blocks column by column first, then add the 4.
The picture has 19 blocks; with 4 more: 23 cm³.
17. 7 cm³
Count the cuboid's blocks first (a layer × the layers), then compare with 38.
The cuboid has 5 × 3 × 3 = 45; against 38 that is 7 apart.
18. 10 cubes
Work out how many cubes a 3 × 2 × 3 cuboid needs, then count how many the picture has.
The cuboid needs 3 × 2 × 3 = 18; there are 8: 10 more.
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