A formula for finding SA, the surface area of a rectangular prism, is SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?

Surface area of rectangular prism = 288 in²

Step-by-step explanation:

Given:

a = 12 inches

b = 6 inches

c = 4 inches

Find:

Surface area of rectangular prism

Computation:

Surface area of rectangular prism = 2(ab + bc + ca)

Surface area of rectangular prism = 2[(12)(6) + (6)(4) + (4)(12)]

Surface area of rectangular prism = 2[72 + 24 + 48]

Surface area of rectangular prism = 2[144]

Surface area of rectangular prism = 288 in²

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