Question

A block of wood is a cube and has the dimensions shown in the diagram below.
5 cm, 5 cm, 5 cm
v = 125
Find the surface area of the wooden block.
​
(b)
A
200 cm

B
324 cm

C
150 cm

D
230 cm

Answer 1

To calculate the surface area of a cube, you can use the formula:

\[
\text{Surface Area} = 6a^2
\]

where \(a\) is the length of one side of the cube.

Given that the dimensions of the cube are 5 cm, we can substitute this value into the formula:

\[
\text{Surface Area} = 6(5 \, \text{cm})^2
\]

Calculating this step by step:

1. Calculate \(5^2\):
\[
5^2 = 25 \, \text{cm}^2
\]

2. Now multiply by 6:
\[
\text{Surface Area} = 6 \times 25 \, \text{cm}^2 = 150 \, \text{cm}^2
\]

So, the surface area of the wooden block (cube) is:

\[
\text{Surface Area} = 150 \, \text{cm}^2
\]

The correct answer is:

**C) 150 cm²**.