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Surface Area of Prisms

Question 2 • AFC ASVAB Math B S2

Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two options.

Answer
A
8 feet by 4 feet by 3 feet
B
7 feet by 6 feet by 4 feet
C
3 feet by 7 feet by 8 feet
D
3 feet by 6 feet by 7 feet
E
3 feet by 5 feet by 7 feet

Explanation

The surface area of a rectangular prism is 2(lw + lh + wh). For A, the surface area is 2(8×4 + 8×3 + 4×3) = 136 square feet, which is less than 160. For E, it is 2(3×5 + 3×7 + 5×7) = 142 square feet, also less than 160. The other choices have surface areas of 188, 202, and 162 square feet, respectively, so they are too large.

AI-written and checked against the verified answer.

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