Question

A moving box is 3 feet long, 2 feet wide, and 4 feet tall. What is the total surface area of the box?(1 point)
Responses

24 square feet
24 square feet

52 square feet
52 square feet

40 square feet
40 square feet

48 square feet

Answer 1

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

In this case:
- Length (\( l \)) = 3 feet
- Width (\( w \)) = 2 feet
- Height (\( h \)) = 4 feet

Now, plug these values into the formula:

1. Calculate \( lw \):
\[
lw = 3 \times 2 = 6 \text{ square feet}
\]

2. Calculate \( lh \):
\[
lh = 3 \times 4 = 12 \text{ square feet}
\]

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

4. Now sum these areas:
\[
lw + lh + wh = 6 + 12 + 8 = 26 \text{ square feet}
\]

5. Finally, multiply by 2 to find the total surface area:
\[
\text{Surface Area} = 2 \times 26 = 52 \text{ square feet}
\]

Therefore, the total surface area of the box is **52 square feet**.