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

Question

a. 975.38 cm^2
b. 459 cm^2
c. 76.5 cm^2
d. 5,852.25 cm2

Answer 1

To find the surface area of a right rectangular prism, you multiply the length, width, and height of the prism by 2, and then add them together.

The given information tells us that each edge length measures 12.75 cm.

Therefore, the length of the prism is 12.75 cm, the width is 12.75 cm, and the height is 12.75 cm.

Surface area = 2(length × width) + 2(length × height) + 2(width × height)
Surface area = 2(12.75 cm × 12.75 cm) + 2(12.75 cm × 12.75 cm) + 2(12.75 cm × 12.75 cm)
Surface area = 2(162.5625 cm^2) + 2(162.5625 cm^2) + 2(162.5625 cm^2)
Surface area = 325.125 cm^2 + 325.125 cm^2 + 325.125 cm^2
Surface area = 975.375 cm^2

So, the correct answer is a. 975.38 cm^2.