Question

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

Answer 1

To calculate the total surface area of a rectangular box (dog crate), you can use the formula:

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

where:
- \( l \) = length
- \( w \) = width
- \( h \) = height

For the dog crate:
- \( l = 4 \) feet
- \( w = 2 \) feet
- \( h = 3.5 \) feet

Now we calculate each term in the formula:

1. \( lw = 4 \times 2 = 8 \) square feet
2. \( lh = 4 \times 3.5 = 14 \) square feet
3. \( wh = 2 \times 3.5 = 7 \) square feet

Now sum these areas:

\[
lw + lh + wh = 8 + 14 + 7 = 29 \text{ square feet}
\]

Now multiply by 2 to find the total surface area:

\[
\text{Surface Area} = 2 \times 29 = 58 \text{ square feet}
\]

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

The correct response is: **58 square feet**.