Perimeter, area and volume · Ages 10–11

Units of volume worksheet

Part of: Volume

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Perimeter, area and volume · Ages 10–11

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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.

13.A storage box is 200 cm long, 80 cm wide and 70 cm high. What is its volume in m³?
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Answer:
14.May has 3 little cube blocks, each with 6 mm edges. What is their total volume, in mm³?
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Answer:
15.A room is 3 m long, 4 m wide and 4 m high. What is its volume in m³?
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Answer:
16.A pond holds 0.8 m³ of water. How many cm³ is that?
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Answer:
17.A drop of water is about 40 mm³. About how many drops are there in 13 cm³ of water?
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18.A drop of water is about 40 mm³. About how many drops are there in 1 cm³ of water?
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Show the answers and working

Units of volume worksheet: Answers and working

1. 3.6
First recall how many cm³ make 1 m³, then divide 3,600,000 by that.
Divide by 1,000,000: 3,600,000 ÷ 1,000,000 = 3.6.
2. 5000000
1 m = 100 cm, so 1 m³ = 100 × 100 × 100 cm³. Work that out first.
1 m³ = 1,000,000 cm³, so 5 m³ = 5,000,000 cm³.
3. 681000
1 cm = 10 mm, so 1 cm³ = 10 × 10 × 10 mm³. Work that out first.
1 cm = 10 mm, so 1 cm³ = 10 × 10 × 10 = 1000 mm³: 681 × 1000 = 681,000.
4. 134000
1 cm = 10 mm, so 1 cm³ = 10 × 10 × 10 mm³. Work that out first.
1 cm = 10 mm, so 1 cm³ = 10 × 10 × 10 = 1000 mm³: 134 × 1000 = 134,000.
5. 8000000
1 m = 100 cm, so 1 m³ = 100 × 100 × 100 cm³. Work that out first.
1 m³ = 1,000,000 cm³, so 8 m³ = 8,000,000 cm³.

6. B. cubic metres (m³)
A container is far bigger than a person. For something that size, which unit of volume fits best?
Big things' volumes are in cubic metres.
7. B. cubic millimetres (mm³)
Compare a grain of rice with a 1 cm cube: which is bigger? Then choose the unit.
A grain of rice is tiny, so its volume is in cubic millimetres: 1 cm³ is already 1000 mm³.
8. A. cubic centimetres (cm³)
Think how big a storybook is. For a small thing you can hold, which unit of volume fits best?
Small things' volumes are in cubic centimetres.
9. False
1 m³ = 100 × 100 × 100 cm³. Work that out, multiply by 6, then compare with 6,000.
1 m = 100 cm, so 1 m³ = 100 × 100 × 100 = 1,000,000 cm³, and 6 m³ = 6 × 1,000,000 = 6,000,000 cm³.
10. C. cubic kilometres (km³)
How big is a lake? 1 m³ of water only fills a big box, so think which unit suits.
A lake is huge, so cubic kilometres: 1 km³ = 1,000,000,000 m³.
11. C. 27,000,000
How many centimetres is 3 m? That many cubes fit along each edge, and you multiply all three ways.
3 × 100 along each edge, three ways multiplied: 27,000,000.
12. B. cubic kilometres (km³)
How big is a lake? 1 m³ of water only fills a big box, so think which unit suits.
A lake is huge, so cubic kilometres: 1 km³ = 1,000,000,000 m³.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 1.12 m³
Work the volume out in centimetres first, 200 × 80 × 70, then think how cm³ turn into m³.
200 × 80 × 70 = 1,120,000 cm³; ÷ 1,000,000 = 1.12 m³.
14. 648 mm³
Find one block's volume first, 6 × 6 × 6, then think about 3 of them.
Each is 6 × 6 × 6 = 216 mm³; 3 of them: 3 × 216 = 648.
15. 48 m³
Volume = length × width × height. All three are in metres, so the answer is in cubic metres.
3 × 4 × 4 = 48 m³: a room is big enough for cubic metres.
16. 800000 cm³
1 m³ = 1,000,000 cm³. How do you change 0.8 m³?
0.8 × 1,000,000 = 800,000 cm³.
17. 325 drops
Change 13 cm³ into mm³ first: 1 cm³ = 1000 mm³.
13 cm³ = 13,000 mm³, and 13,000 ÷ 40 = 325.
18. 25 drops
Change 1 cm³ into mm³ first: 1 cm³ = 1000 mm³.
1 cm³ = 1,000 mm³, and 1,000 ÷ 40 = 25.

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