Question

A rectangular prism is shown.



A rectangular prism is 12 centimeters long, 8 centimeters wide, and 25 centimeters high.

Question
What is the surface area of the prism?

Answer options with 5 options
A.
296 centimeters squared

D.
1,192 centimeters squared

B.
592 centimeters squared

E.
2,400 centimeters squared

C.
596 centimeters squared

Answer 1

To find the surface area of a rectangular prism, we 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 prism.

Given:
- Length (\( l \)) = 12 cm
- Width (\( w \)) = 8 cm
- Height (\( h \)) = 25 cm

Now, we can calculate the surface area:

1. Calculate \( lw \):
\[
lw = 12 \times 8 = 96 \text{ cm}^2
\]

2. Calculate \( lh \):
\[
lh = 12 \times 25 = 300 \text{ cm}^2
\]

3. Calculate \( wh \):
\[
wh = 8 \times 25 = 200 \text{ cm}^2
\]

4. Now, substitute these values back into the surface area formula:
\[
\text{Surface Area} = 2(96 + 300 + 200)
\]

5. Calculate the sum inside the parentheses:
\[
96 + 300 + 200 = 596
\]

6. Now calculate the total surface area:
\[
\text{Surface Area} = 2 \times 596 = 1192 \text{ cm}^2
\]

So the surface area of the prism is \( 1192 \) cm².

The correct answer is **D. 1,192 centimeters squared**.