Question

Find the surface area for a rectangular prism.
Length is 10 cm, width is 6 cm and height is 12 cm

Answer 1

To find the surface area of a rectangular prism, you can use the following formula:

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

where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

Given:
- Length (\( l \)) = 10 cm,
- Width (\( w \)) = 6 cm,
- Height (\( h \)) = 12 cm.

Now, substitute the values into the formula:

\[
\text{Surface Area} = 2(10 \times 6 + 10 \times 12 + 6 \times 12)
\]

Calculating each product:

1. \( 10 \times 6 = 60 \)
2. \( 10 \times 12 = 120 \)
3. \( 6 \times 12 = 72 \)

Now sum these values:

\[
60 + 120 + 72 = 252
\]

Now multiply by 2 for the surface area:

\[
\text{Surface Area} = 2 \times 252 = 504 \text{ cm}^2
\]

Thus, the surface area of the rectangular prism is \(\boxed{504 \text{ cm}^2}\).