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 the dog crate, we can use the formula for the surface area of a rectangular prism:

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

Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

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

Now, substituting the values into the formula:

1. Calculate \( lw \):
\[
lw = 4 \times 2 = 8 \text{ square feet}
\]

2. Calculate \( lh \):
\[
lh = 4 \times 3.5 = 14 \text{ square feet}
\]

3. Calculate \( wh \):
\[
wh = 2 \times 3.5 = 7 \text{ square feet}
\]

4. Now, sum these areas:
\[
lw + lh + wh = 8 + 14 + 7 = 29 \text{ square feet}
\]

5. Finally, multiply by 2 to find the total surface area:
\[
\text{Surface Area} = 2 \times 29 = 58 \text{ square feet}
\]

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