What is the surface area of the rectangular prism?

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

1 answer

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.