Question

The surface area for a rectangular prism with a square base is given by the expression 2s(2 power of 2) + 4sh, where s is the side length of the square base and h is the height of the prism. What is the surface area in square feet of a rectangular prism when s =4 feet and h = 6 feet

Answer 1

The surface area of the rectangular prism is 128 square feet when s = 4 feet and h = 6 feet.

Step-by-step explanation:

The surface area of a rectangular prism with a square base is given by the expression 2s(22) + 4sh, where s is the side length of the square base and h is the height of the prism. To find the surface area when s = 4 feet and h = 6 feet, substitute these values into the expression:

Surface Area = 2s(22) + 4sh

Surface Area = 2(4)(22) + 4(4)(6)

Surface Area = 2(4)(4) + 4(4)(6)

Surface Area = 32 + 96 = 128

Therefore, the surface area of the rectangular prism is 128 square feet.