Use the formula to determine the surface area of a right rectangular prism where each edge length measures 12.75 cm.(1 point)

Responses

76.5 cm2
76.5 cm squared

5,852.25 cm2
5,852.25 cm squared

975.38 cm2
975.38 cm squared

459 cm2

1 answer

To determine the surface area of a right rectangular prism, you need to calculate the area of each of its six faces and sum them up.

The formula to calculate the surface area of a right rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l = length, w = width, and h = height.

Since each edge length measures 12.75 cm, it means the length, width, and height of the prism are all 12.75 cm.

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 cm²

Therefore, the surface area of the right rectangular prism is 975.375 cm², which can also be written as 975.375 cm squared. So the correct answer is:
975.38 cm2
975.38 cm squared