To solve the problem of finding the surface area of each cube, we need to use the formula for the surface area of a cube. The surface area \( A \) of a cube with side length \( s \) is given by:
\[
A = 6s^2
\]
This formula comes from the fact that a cube has 6 faces, and each face is a square with area \( s^2 \).
Let's calculate the surface area for each cube step by step.
1. Cube with side length \( 5 \, \text{cm} \)
\[
A = 6 \times (5 \, \text{cm})^2 = 6 \times 25 \, \text{cm}^2 = 150 \, \text{cm}^2
\]
2. Cube with side length \( 8 \, \text{cm} \)
\[
A = 6 \times (8 \, \text{cm})^2 = 6 \times 64 \, \text{cm}^2 = 384 \, \text{cm}^2
\]
3. Cube with side length \( 6 \, \text{m} \)
\[
A = 6 \times (6 \, \text{m})^2 = 6 \times 36 \, \text{m}^2 = 216 \, \text{m}^2
\]
4. Cube with side length \( 2 \, \text{m} \)
\[
A = 6 \times (2 \, \text{m})^2 = 6 \times 4 \, \text{m}^2 = 24 \, \text{m}^2
\]
5. Cube with side length \( 10 \, \text{ft} \)
\[
A = 6 \times (10 \, \text{ft})^2 = 6 \times 100 \, \text{ft}^2 = 600 \, \text{ft}^2
\]
6. Cube with side length \( 4 \, \text{m} \)
\[
A = 6 \times (4 \, \text{m})^2 = 6 \times 16 \, \text{m}^2 = 96 \, \text{m}^2
\]
7. Cube with side length \( 16 \, \text{miles} \)
\[
A = 6 \times (16 \, \text{miles})^2 = 6 \times 256 \, \text{miles}^2 = 1536 \, \text{miles}^2
\]
8. Cube with side length \( 12 \, \text{in} \)
\[
A = 6 \times (12 \, \text{in})^2 = 6 \times 144 \, \text{in}^2 = 864 \, \text{in}^2
\]
9. Cube with side length \( 20 \, \text{cm} \)
\[
A = 6 \times (20 \, \text{cm})^2 = 6 \times 400 \, \text{cm}^2 = 2400 \, \text{cm}^2
\]
10. Cube with side length \( 14 \, \text{ft} \)
\[
A = 6 \times (14 \, \text{ft})^2 = 6 \times 196 \, \text{ft}^2 = 1176 \, \text{ft}^2
\]
Final Answers
\[
\boxed{
\begin{array}{ll}
1) & 150 \, \text{cm}^2 \\
2) & 384 \, \text{cm}^2 \\
3) & 216 \, \text{m}^2 \\
4) & 24 \, \text{m}^2 \\
5) & 600 \, \text{ft}^2 \\
6) & 96 \, \text{m}^2 \\
7) & 1536 \, \text{miles}^2 \\
8) & 864 \, \text{in}^2 \\
9) & 2400 \, \text{cm}^2 \\
10) & 1176 \, \text{ft}^2 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume of cube worksheet.
