To solve the problem of finding the volumes of the cubes shown in the image, we will use the formula for the volume of a cube. The formula is:
\[
\text{Volume} = \text{side length}^3
\]
Let's go through each cube step by step.
---
Cube 1:
-
Side length: \( 5 \, \text{m} \)
-
Formula:
\[
\text{Volume} = \text{side length}^3
\]
-
Calculation:
\[
\text{Volume} = 5^3 = 5 \times 5 \times 5 = 125 \, \text{m}^3
\]
So, the completed section for Cube 1 is:
\[
\begin{aligned}
\text{Formula} & = \text{side length}^3 \\
& = 5^3 \\
& = 125 \, \text{m}^3
\end{aligned}
\]
---
Cube 2:
-
Side length: \( 11 \, \text{cm} \)
-
Formula:
\[
\text{Volume} = \text{side length}^3
\]
-
Calculation:
\[
\text{Volume} = 11^3 = 11 \times 11 \times 11 = 1331 \, \text{cm}^3
\]
So, the completed section for Cube 2 is:
\[
\begin{aligned}
\text{Formula} & = \text{side length}^3 \\
& = 11^3 \\
& = 1331 \, \text{cm}^3
\end{aligned}
\]
---
Cube 3:
-
Side length: \( 7 \, \text{cm} \)
-
Formula:
\[
\text{Volume} = \text{side length}^3
\]
-
Calculation:
\[
\text{Volume} = 7^3 = 7 \times 7 \times 7 = 343 \, \text{cm}^3
\]
So, the completed section for Cube 3 is:
\[
\begin{aligned}
\text{Formula} & = \text{side length}^3 \\
& = 7^3 \\
& = 343 \, \text{cm}^3
\end{aligned}
\]
---
Cube 4:
-
Side length: \( 15 \, \text{mm} \)
-
Formula:
\[
\text{Volume} = \text{side length}^3
\]
-
Calculation:
\[
\text{Volume} = 15^3 = 15 \times 15 \times 15 = 3375 \, \text{mm}^3
\]
So, the completed section for Cube 4 is:
\[
\begin{aligned}
\text{Formula} & = \text{side length}^3 \\
& = 15^3 \\
& = 3375 \, \text{mm}^3
\end{aligned}
\]
---
Final Answers:
\[
\boxed{
\begin{aligned}
1. & \quad \text{Volume} = 125 \, \text{m}^3 \\
2. & \quad \text{Volume} = 1331 \, \text{cm}^3 \\
3. & \quad \text{Volume} = 343 \, \text{cm}^3 \\
4. & \quad \text{Volume} = 3375 \, \text{mm}^3
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume of cube worksheet.