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Volume and Capacity. Mathematics Worksheets and Study Guides Fifth ... - Free Printable

Volume and Capacity. Mathematics Worksheets and Study Guides Fifth ...

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Show Answer Key & Explanations Step-by-step solution for: Volume and Capacity. Mathematics Worksheets and Study Guides Fifth ...
Let’s solve each problem step by step. We’re finding the volume of rectangular prisms (boxes). The formula is:

> Volume = Length × Width × Height

We’ll multiply the three numbers given for each shape.

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Problem 1:
Length = 4 cm, Width = 3 cm, Height = 5 cm
Volume = 4 × 3 × 5
First: 4 × 3 = 12
Then: 12 × 5 = 60 cm³

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Problem 2:
Length = 7 m, Width = 2 m, Height = 3 m
Volume = 7 × 2 × 3
First: 7 × 2 = 14
Then: 14 × 3 = 42 m³

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Problem 3:
Length = 6 in, Width = 4 in, Height = 2 in
Volume = 6 × 4 × 2
First: 6 × 4 = 24
Then: 24 × 2 = 48 in³

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Problem 4:
Length = 9 ft, Width = 3 ft, Height = 4 ft
Volume = 9 × 3 × 4
First: 9 × 3 = 27
Then: 27 × 4 = 108 ft³

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Problem 5:
Length = 8 mm, Width = 5 mm, Height = 1 mm
Volume = 8 × 5 × 1
First: 8 × 5 = 40
Then: 40 × 1 = 40 mm³

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Problem 6:
Length = 3 yd, Width = 2 yd, Height = 6 yd
Volume = 3 × 2 × 6
First: 3 × 2 = 6
Then: 6 × 6 = 36 yd³

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Problem 7:
Length = 5 cm, Width = 1 cm, Height = 10 cm
Volume = 5 × 1 × 10
First: 5 × 1 = 5
Then: 5 × 10 = 50 cm³

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Problem 8:
Length = 4 m, Width = 4 m, Height = 4 m
Volume = 4 × 4 × 4
First: 4 × 4 = 16
Then: 16 × 4 = 64 m³

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Problem 9:
Length = 6 in, Width = 2 in, Height = 3 in
Volume = 6 × 2 × 3
First: 6 × 2 = 12
Then: 12 × 3 = 36 in³

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Problem 10:
Length = 5 ft, Width = 3 ft, Height = 2 ft
Volume = 5 × 3 × 2
First: 5 × 3 = 15
Then: 15 × 2 = 30 ft³

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Final Answer:
1. 60 cm³
2. 42 m³
3. 48 in³
4. 108 ft³
5. 40 mm³
6. 36 yd³
7. 50 cm³
8. 64 m³
9. 36 in³
10. 30 ft³
Parent Tip: Review the logic above to help your child master the concept of volume maths worksheet.
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