Question

What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)
Responses

900 cm2
900 cm squared

1,350 cm2
1,350 cm squared

8,208.36 cm2
8,208.36 cm squared

1,368.06 cm2

Answer 1

To find the surface area of a right rectangular prism (also known as a rectangular box), you can use the formula:

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

where \( l \), \( w \), and \( h \) are the lengths of the edges (length, width, and height) of the prism.

In this case, all edge lengths are equal, so \( l = w = h = 15.10 \, \text{cm} \).

Now plug these values into the formula:

1. Calculate \( lw \):
\[
lw = 15.10 \times 15.10 = 228.01 \, \text{cm}^2
\]

2. Calculate \( lh \):
\[
lh = 15.10 \times 15.10 = 228.01 \, \text{cm}^2
\]

3. Calculate \( wh \):
\[
wh = 15.10 \times 15.10 = 228.01 \, \text{cm}^2
\]

Now plug these values into the surface area formula:

\[
\text{Surface Area} = 2(228.01 + 228.01 + 228.01) = 2(684.03)
\]
\[
\text{Surface Area} = 1368.06 \, \text{cm}^2
\]

Therefore, the surface area of the prism is **1,368.06 cm²**.

So the correct response is:

**1,368.06 cm²**