Question

Solve for the surface area of the rectangular prism.

(1 point)
Responses

270 square inches
270 square inches  

222 square inches 
    222 square inches 

180 square inches
180 square inches

111 square inches

The rectangle’s numbers 12,5,3 just use these numbers

Answer 1

To find the surface area of a 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.

Given the dimensions (length = 12 inches, width = 5 inches, height = 3 inches), we will substitute these values into the formula.

1. Calculate the areas of each pair of sides:
- \( lw = 12 \times 5 = 60 \)
- \( lh = 12 \times 3 = 36 \)
- \( wh = 5 \times 3 = 15 \)

2. Sum those areas:
\[
lw + lh + wh = 60 + 36 + 15 = 111
\]

3. Now, multiply by 2 to find the surface area:
\[
\text{Surface Area} = 2 \times 111 = 222 \text{ square inches}
\]

Therefore, the surface area of the rectangular prism is **222 square inches**.