Let's solve the volume problems step by step. The
volume of a rectangular prism (box) is calculated using the formula:
$$
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
$$
We'll apply this formula to each of the six shapes in the image.
---
Shape 1
- Length = 2 m
- Width = 2 m
- Height = 5 m
$$
\text{Volume} = 2 \times 2 \times 5 = 20 \, \text{m}^3
$$
---
Shape 2
- Length = 8 m
- Width = 4 m
- Height = 2 m
$$
\text{Volume} = 8 \times 4 \times 2 = 64 \, \text{m}^3
$$
---
Shape 3
- Length = 6 m
- Width = 4 m
- Height = 3 m
$$
\text{Volume} = 6 \times 4 \times 3 = 72 \, \text{m}^3
$$
---
Shape 4
- Length = 5 m
- Width = 3 m
- Height = 9 m
$$
\text{Volume} = 5 \times 3 \times 9 = 135 \, \text{m}^3
$$
---
Shape 5
- Length = 2 m
- Width = 3 m
- Height = 7 m
$$
\text{Volume} = 2 \times 3 \times 7 = 42 \, \text{m}^3
$$
---
Shape 6
- Length = 11 m
- Width = 3 m
- Height = 4 m
$$
\text{Volume} = 11 \times 3 \times 4 = 132 \, \text{m}^3
$$
---
✔ Final Answers:
1.
20 m³
2.
64 m³
3.
72 m³
4.
135 m³
5.
42 m³
6.
132 m³
You can fill these answers into the blank lines under each shape on the worksheet.
Let me know if you'd like a printable version or help with any other math problems!
Parent Tip: Review the logic above to help your child master the concept of volume 5th grade worksheet.
