5
QuizMultiple Choice

Surface Area of Prisms — Quiz

Question 5 • Grade 7 Mathematics

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Choose three correct answers.

Answer
A
8 feet by 4 feet by 3 feet
B
6 feet by 2 feet by 3 feet
C
6 feet by 5 feet by 4 feet
D
8 feet by 3 feet by 7 feet
E
7 feet by 6 feet by 4 feet

Explanation

For a rectangular prism with side lengths a, b, and c, surface area is 2(ab + ac + bc). Choice C gives 2(6×5 + 6×4 + 5×4) = 148 square feet. Choice D gives 2(8×3 + 8×7 + 3×7) = 202 square feet, and choice E gives 2(7×6 + 7×4 + 6×4) = 188 square feet. Each is greater than 140 square feet. Choices A and B have surface areas of 136 and 72 square feet, respectively.

AI-written and checked against the verified answer.

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