A
B
C
D
Explanation
Correct answer: D.
Choice D is correct. The surface area is found by summing the area of each face. A right rectangular prism consists of three pairs of congruent rectangles, so the surface area is found by multiplying the areas of three adjacent rectangles by and adding these products. For this prism, the surface area is equal to , or , which is equal to .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the area of one of the faces of the prism.
Choice B
Choice B is incorrect and may result from adding the areas of three adjacent rectangles without multiplying by .
Choice C
Choice C is incorrect. This is the volume, in cubic inches, of the prism.