Question

Question
A shipping box has a length of 12.5 inches, a height of 9.5 inches, and a width of 3.0 inches. What is the surface area of the box? Hint: Draw a net.(1 point)
Responses

511 square inches
511 square inches

341 square inches
341 square inches

184.75 square inches
184.75 square inches

369.5 square inches

Answer 1

To find the surface area of a rectangular box (also known as a rectangular prism), you can use the formula:

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

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

Given:
- Length (l) = 12.5 inches
- Width (w) = 3.0 inches
- Height (h) = 9.5 inches

Now, let's calculate each term:

1. \( lw = 12.5 \times 3.0 = 37.5 \, \text{square inches} \)
2. \( lh = 12.5 \times 9.5 = 118.75 \, \text{square inches} \)
3. \( wh = 3.0 \times 9.5 = 28.5 \, \text{square inches} \)

Now we can add these values together:

\[
lw + lh + wh = 37.5 + 118.75 + 28.5 = 184.75 \, \text{square inches}
\]

Finally, multiply by 2 to find the surface area:

\[
\text{Surface Area} = 2 \times 184.75 = 369.5 \, \text{square inches}
\]

Therefore, the surface area of the box is **369.5 square inches**. The correct response is:

**369.5 square inches**.