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
48 square feet

Answer 1

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

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

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

For the given box:
- \( l = 3 \) feet
- \( w = 2 \) feet
- \( h = 4 \) feet

Now substitute the values into the formula:

1. Calculate \( lw \):
\[
lw = 3 \times 2 = 6
\]

2. Calculate \( lh \):
\[
lh = 3 \times 4 = 12
\]

3. Calculate \( wh \):
\[
wh = 2 \times 4 = 8
\]

4. Now, add these values together:
\[
lw + lh + wh = 6 + 12 + 8 = 26
\]

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

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