Question of the Day

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10/3 , 11/7

Jul
27
2015
17,829 responses
Question of the Day Statistics
Number Answered
Correct 7,990
Incorrect 9,839
44% correct

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

Hint

A cube has 6 faces, each with the same area. If the surface area of a cube is 54 times (x ^ 2), then each of its faces has area(54 times (x ^ 2)) over 6 equals 9 times (x ^2). Now you can find the length of each edge of the cube in terms of x, and then cube this value to find the volume.

Question of the Day

Can you answer today's question?

Register Next Tests:
10/3 , 11/7

Jul
27
2015
17,829 responses
Question of the Day Statistics
Number Answered
Correct 7,990
Incorrect 9,839
44% correct

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

Answer

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).