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

1. 5,852.25 cm^2
2. 459 cm^2
3. 975.38 cm^2
4. 76.5 cm^2

1 answer

To find the surface area of a right rectangular prism, we need to find the area of each face and then add them together.

In this case, all edge lengths measure 12.75 cm, so the length, width, and height of the prism are all 12.75 cm.

The formula for the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

Plugging in the values:
Surface Area = 2(12.75)(12.75) + 2(12.75)(12.75) + 2(12.75)(12.75)
Surface Area = 2(162.5625) + 2(162.5625) + 2(162.5625)
Surface Area = 325.125 + 325.125 + 325.125
Surface Area = 975.375

Therefore, the surface area of the right rectangular prism is 975.38 cm^2.

The correct answer is option 3: 975.38 cm^2.
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