Question

A dog crate is 4 feet long, 2 feet wide, and 3.5 feet tall. What is the total surface area of the box?(1 point)
Responses

24 square feet
24 square feet

58 square feet
58 square feet

30 square feet
30 square feet

78 square feet
78 square feet

Answer 1

To find the total surface area of a rectangular box (or crate), 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 of the box.

Given:
- Length (\(l\)) = 4 feet
- Width (\(w\)) = 2 feet
- Height (\(h\)) = 3.5 feet

Now plug in the values:

\[
\text{Surface Area} = 2(4 \times 2 + 4 \times 3.5 + 2 \times 3.5)
\]
\[
= 2(8 + 14 + 7)
\]
\[
= 2(29)
\]
\[
= 58 \text{ square feet}
\]

Therefore, the total surface area of the dog crate is **58 square feet**.