Task: Calculate the Volume of Cubes and Cuboids
The formula to calculate the volume of a
cuboid is:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For a
cube, since all sides are equal, the formula simplifies to:
\[
\text{Volume} = \text{side}^3
\]
Let's solve each problem step by step.
---
Problem 1:
- Shape: Cuboid
- Dimensions:
- Length = 6 cm
- Width = 5.5 cm
- Height = 7 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 6 \times 5.5 \times 7
\]
First, calculate \( 6 \times 5.5 \):
\[
6 \times 5.5 = 33
\]
Next, multiply by 7:
\[
33 \times 7 = 231
\]
\[
\boxed{231 \text{ cm}^3}
\]
---
Problem 2:
- Shape: Cuboid
- Dimensions:
- Length = 9 cm
- Width = 12 cm
- Height = 8 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 9 \times 12 \times 8
\]
First, calculate \( 9 \times 12 \):
\[
9 \times 12 = 108
\]
Next, multiply by 8:
\[
108 \times 8 = 864
\]
\[
\boxed{864 \text{ cm}^3}
\]
---
Problem 3:
- Shape: Cuboid
- Dimensions:
- Length = 9 cm
- Width = 8.5 cm
- Height = 11 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 9 \times 8.5 \times 11
\]
First, calculate \( 9 \times 8.5 \):
\[
9 \times 8.5 = 76.5
\]
Next, multiply by 11:
\[
76.5 \times 11 = 841.5
\]
\[
\boxed{841.5 \text{ cm}^3}
\]
---
Problem 4:
- Shape: Cuboid
- Dimensions:
- Length = 13 cm
- Width = 8 cm
- Height = 7 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 13 \times 8 \times 7
\]
First, calculate \( 13 \times 8 \):
\[
13 \times 8 = 104
\]
Next, multiply by 7:
\[
104 \times 7 = 728
\]
\[
\boxed{728 \text{ cm}^3}
\]
---
Problem 5:
- Shape: Cuboid
- Dimensions:
- Length = 9 cm
- Width = 11 cm
- Height = 15 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 9 \times 11 \times 15
\]
First, calculate \( 9 \times 11 \):
\[
9 \times 11 = 99
\]
Next, multiply by 15:
\[
99 \times 15 = 1485
\]
\[
\boxed{1485 \text{ cm}^3}
\]
---
Problem 6:
- Shape: Cuboid
- Dimensions:
- Length = 21 cm
- Width = 7 cm
- Height = 11.5 cm
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 21 \times 7 \times 11.5
\]
First, calculate \( 21 \times 7 \):
\[
21 \times 7 = 147
\]
Next, multiply by 11.5:
\[
147 \times 11.5 = 1690.5
\]
\[
\boxed{1690.5 \text{ cm}^3}
\]
---
Final Answers:
1. \(\boxed{231 \text{ cm}^3}\)
2. \(\boxed{864 \text{ cm}^3}\)
3. \(\boxed{841.5 \text{ cm}^3}\)
4. \(\boxed{728 \text{ cm}^3}\)
5. \(\boxed{1485 \text{ cm}^3}\)
6. \(\boxed{1690.5 \text{ cm}^3}\)
Parent Tip: Review the logic above to help your child master the concept of finding volume of a cube worksheet.
