Question

The shape is a rectangular prism, find the total surface area of the shape
Length=5
width;4
Height;2

Answer 1

To find the total 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,
- \( h \) is the height.

Given:
- Length \( l = 5 \)
- Width \( w = 4 \)
- Height \( h = 2 \)

Now, substituting the values into the formula:

\[
\text{Surface Area} = 2(5 \times 4 + 5 \times 2 + 4 \times 2)
\]

Calculating each term inside the parentheses:

- \( 5 \times 4 = 20 \)
- \( 5 \times 2 = 10 \)
- \( 4 \times 2 = 8 \)

Now, add these values together:

\[
20 + 10 + 8 = 38
\]

Now, multiply by 2:

\[
\text{Surface Area} = 2 \times 38 = 76
\]

Thus, the total surface area of the rectangular prism is \( 76 \) square units.