the surface area of a right rectangular prism where each edge length measures 12.75 cm

1 answer

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

The formula to find the surface area of a rectangular prism is:
Surface Area = 2ab + 2bc + 2ac

Given that each edge length measures 12.75 cm, we can substitute this value into the formula:

Surface Area = 2(12.75)(12.75) + 2(12.75)(12.75) + 2(12.75)(12.75)

Simplifying this expression, we get:

Surface Area = 2(12.75)^2 + 2(12.75)^2 + 2(12.75)^2

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 where each edge length measures 12.75 cm is 975.375 cm².