Question

urface Area of Rectangular Prisms and Pyramids MC)

What is the surface area of a rectangular prism with dimensions 14 inches by 8 inches by 3 inches?

367 in2
356 in2
183.5 in2
135 in2

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 the dimensions of the rectangular prism:
- \(l = 14\) inches
- \(w = 8\) inches
- \(h = 3\) inches

Now, calculate each term in the formula:

1. \(lw = 14 \times 8 = 112\)
2. \(lh = 14 \times 3 = 42\)
3. \(wh = 8 \times 3 = 24\)

Now add these products together:

\[
lw + lh + wh = 112 + 42 + 24 = 178
\]

Now multiply by 2 to find the surface area:

\[
\text{Surface Area} = 2 \times 178 = 356 \text{ in}^2
\]

Thus, the surface area of the rectangular prism is \( \boxed{356} \text{ in}^2\).