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 = 3 m
- Width = 2 m
- Height = 6 m
\[
\text{Volume} = 3 \times 2 \times 6 = 36 \, \text{m}^3
\]
Shape 2:
- Length = 6 m
- Width = 4 m
- Height = 7 m
\[
\text{Volume} = 6 \times 4 \times 7 = 168 \, \text{m}^3
\]
Shape 3:
- Length = 4 m
- Width = 3 m
- Height = 5 m
\[
\text{Volume} = 4 \times 3 \times 5 = 60 \, \text{m}^3
\]
Shape 4:
- Length = 2 m
- Width = 2 m
- Height = 10 m
\[
\text{Volume} = 2 \times 2 \times 10 = 40 \, \text{m}^3
\]
Shape 5:
- Length = 8 m
- Width = 5 m
- Height = 2 m
\[
\text{Volume} = 8 \times 5 \times 2 = 80 \, \text{m}^3
\]
Shape 6:
- Length = 9 m
- Width = 5 m
- Height = 6 m
\[
\text{Volume} = 9 \times 5 \times 6 = 270 \, \text{m}^3
\]
Final Answers:
\[
\boxed{36, 168, 60, 40, 80, 270}
\]
Parent Tip: Review the logic above to help your child master the concept of volume worksheet 6th grade.
