Question

The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm. Determine the surface area

Answer 1

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

\[
\text{Surface Area} = 2(lw + lh + wh)
\]

where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

In this case, we have the dimensions:
- \( l = 5 \, \text{cm} \)
- \( w = 5 \, \text{cm} \)
- \( h = 2 \, \text{cm} \)

Now substitute the values into the formula:

\[
\text{Surface Area} = 2(5 \cdot 5 + 5 \cdot 2 + 5 \cdot 2)
\]

Calculating each term inside the parentheses:

\[
5 \cdot 5 = 25
\]
\[
5 \cdot 2 = 10
\]
\[
5 \cdot 2 = 10
\]

Now add these values together:

\[
25 + 10 + 10 = 45
\]

Now multiply by 2 to find the total surface area:

\[
\text{Surface Area} = 2 \cdot 45 = 90 \, \text{cm}^2
\]

Thus, the surface area of the rectangular prism is \( 90 \, \text{cm}^2 \).