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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

What is the volume of a cube with surface area 54 times (x ^ 2)?

Answer Choices

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Explanation

Every cube has 6 identical square faces. Since the total surface area of this cube is 54 times (x ^ 2), each face has area (54 times (x ^ 2)) over 6 equals 9 times (x ^2). Therefore, each edge has length square root (9 times (x ^2)), or 3 times x. The volume is (3 times x) ^ 3, or 27 times (x ^ 3).

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