Digital PSAT Math Practice Question 49: Answer and Explanation
Question: 49
A cube with edge length x has all of its edges doubled. Suppose the volume of the original cube is V cubic inches. What is the volume of the new cube in terms of the original cube?
- A. 2V
- B. 4V
- C. 8V
- D. 16V
Correct Answer: C
Explanation:
(C) Each edge of the cube is doubled. So instead of each edge having a length of x, each edge now has a length of 2x. The volume formula for a cube is V = x3. The original cube has a volume of x3. The new cube has a volume of (2x)3 = 23 x3 = 8x3. So the volume of the new cube is 8 times the volume of the original cube, which is 8V.
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