To solve the problem of finding the volume of each shape, we need to use the formula for the volume of a rectangular prism (or cuboid):
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Let's calculate the volume for each shape step by step.
Shape 1:
- Length = 2 m
- Width = 2 m
- Height = 5 m
\[
\text{Volume} = 2 \times 2 \times 5 = 4 \times 5 = 20 \, \text{m}^3
\]
Shape 2:
- Length = 8 m
- Width = 4 m
- Height = 2 m
\[
\text{Volume} = 8 \times 4 \times 2 = 32 \times 2 = 64 \, \text{m}^3
\]
Shape 3:
- Length = 6 m
- Width = 4 m
- Height = 3 m
\[
\text{Volume} = 6 \times 4 \times 3 = 24 \times 3 = 72 \, \text{m}^3
\]
Shape 4:
- Length = 5 m
- Width = 3 m
- Height = 9 m
\[
\text{Volume} = 5 \times 3 \times 9 = 15 \times 9 = 135 \, \text{m}^3
\]
Shape 5:
- Length = 2 m
- Width = 3 m
- Height = 7 m
\[
\text{Volume} = 2 \times 3 \times 7 = 6 \times 7 = 42 \, \text{m}^3
\]
Shape 6:
- Length = 11 m
- Width = 3 m
- Height = 4 m
\[
\text{Volume} = 11 \times 3 \times 4 = 33 \times 4 = 132 \, \text{m}^3
\]
Final Answers:
1. \( 20 \, \text{m}^3 \)
2. \( 64 \, \text{m}^3 \)
3. \( 72 \, \text{m}^3 \)
4. \( 135 \, \text{m}^3 \)
5. \( 42 \, \text{m}^3 \)
6. \( 132 \, \text{m}^3 \)
\[
\boxed{20, 64, 72, 135, 42, 132}
\]
Parent Tip: Review the logic above to help your child master the concept of volume of shapes worksheet.
