Question

What is the surface area of the rectangular prism?

The rectangle has numbers 10,3,9 just work with that

Answer 1

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

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

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

From your numbers, we can assign:
- \( l = 10 \)
- \( w = 3 \)
- \( h = 9 \)

Now, substituting these values into the surface area formula:

\[
\text{Surface Area} = 2(10)(3) + 2(10)(9) + 2(3)(9)
\]

Calculating each term step-by-step:

1. \( 2(10)(3) = 60 \)
2. \( 2(10)(9) = 180 \)
3. \( 2(3)(9) = 54 \)

Now, add these results together:

\[
\text{Surface Area} = 60 + 180 + 54 = 294
\]

Thus, the surface area of the rectangular prism is \( \boxed{294} \) square units.