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

448 square inches
448 square inches

224 square inches
224 square inches

192 square inches
192 square inches

256 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

First, calculate each of the area components:

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

Now, add these areas together:

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

Now, multiply by 2 to find the total surface area:

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

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