Question

What is the surface area of a rectangular prism with a length of 16 inches, a height of 4 inches, and a width of 8 inches?(1 point)
Responses

192 square inches
192 square inches

256 square inches
256 square inches

224 square inches
224 square inches

448 square inches

Answer 1

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

Given:
- Length \( l = 16 \) inches,
- Width \( w = 8 \) inches,
- Height \( h = 4 \) inches.

Now, let's calculate each term:

1. \( lw = 16 \times 8 = 128 \)
2. \( lh = 16 \times 4 = 64 \)
3. \( wh = 8 \times 4 = 32 \)

Now, add those areas together:

\[
lw + lh + wh = 128 + 64 + 32 = 224
\]

Now multiply by 2 to find the surface area:

\[
\text{Surface Area} = 2 \times 224 = 448 \text{ square inches}
\]

Thus, the surface area of the rectangular prism is **448 square inches**.