Question

A rectangular prism has a length of 18 inches, a width of 8 inches, and a height of 15 inches. What is the surface area of the rectangular prism?square inches

Answer 1

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

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

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

Given the dimensions:
- \( l = 18 \) inches,
- \( w = 8 \) inches,
- \( h = 15 \) inches.

Now, substituting the values into the formula:

1. Calculate \( 2lw \):
\[
2lw = 2 \times 18 \times 8 = 288 \text{ square inches}
\]

2. Calculate \( 2lh \):
\[
2lh = 2 \times 18 \times 15 = 540 \text{ square inches}
\]

3. Calculate \( 2wh \):
\[
2wh = 2 \times 8 \times 15 = 240 \text{ square inches}
\]

Now, sum these three results to get the total surface area:

\[
\text{Surface Area} = 288 + 540 + 240 = 1068 \text{ square inches}
\]

Thus, the surface area of the rectangular prism is \(\boxed{1068}\) square inches.