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 = 6 m
- Width = 9 m
- Height = 2 m
$$
\text{Volume} = 6 \times 9 \times 2 = 108 \, \text{m}^3
$$
---
Shape 2
- Length = 9 m
- Width = 9 m
- Height = 5 m
$$
\text{Volume} = 9 \times 9 \times 5 = 405 \, \text{m}^3
$$
---
Shape 3
- Length = 8 m
- Width = 7 m
- Height = 3 m
$$
\text{Volume} = 8 \times 7 \times 3 = 168 \, \text{m}^3
$$
---
Shape 4
- Length = 12 m
- Width = 6 m
- Height = 3 m
$$
\text{Volume} = 12 \times 6 \times 3 = 216 \, \text{m}^3
$$
---
Shape 5
- Length = 10 m
- Width = 6 m
- Height = 4 m
$$
\text{Volume} = 10 \times 6 \times 4 = 240 \, \text{m}^3
$$
---
Shape 6
- Length = 11 m
- Width = 9 m
- Height = 2 m
$$
\text{Volume} = 11 \times 9 \times 2 = 198 \, \text{m}^3
$$
---
✔ Final Answers:
1.
108 m³
2.
405 m³
3.
168 m³
4.
216 m³
5.
240 m³
6.
198 m³
You can now fill these in on the worksheet!
Parent Tip: Review the logic above to help your child master the concept of 6th grade volume worksheet.
