Question

Use the formula to determine the surface area of a right rectangular prism where each edge length measures 12.75 cm.(1 point)
Responses

459 cm2
459

cm
2
459 cm squared

76.5 cm2
76.5

cm
2
76.5 cm squared

975.38 cm2
975.38

cm
2
975.38 cm squared

5,852.25 cm2
squared

Answer 1

To find the surface area of a right 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 prism.

In this case, since each edge length measures 12.75 cm, we have:

- \( l = 12.75 \, \text{cm} \)
- \( w = 12.75 \, \text{cm} \)
- \( h = 12.75 \, \text{cm} \)

Now, plug in these values into the surface area formula:

\[
\text{Surface Area} = 2(12.75 \cdot 12.75 + 12.75 \cdot 12.75 + 12.75 \cdot 12.75)
\]

Calculating the products inside the parentheses:

\[
12.75 \cdot 12.75 = 162.5625
\]

Now, substitute back into the formula:

\[
\text{Surface Area} = 2(162.5625 + 162.5625 + 162.5625)
\]
\[
= 2(3 \cdot 162.5625)
\]
\[
= 2(487.6875)
\]
\[
= 975.375 \, \text{cm}^2
\]

Rounded, this gives us approximately 975.38 cm².

Therefore, the correct response is:

**975.38 cm²**