A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

  1. 48

  2. 32

  3. 24

  4. 12


Correct Option: A

AI Explanation

To answer this question, let's consider the relationship between the weight of an object and its volume.

The weight of an object is directly proportional to its volume. When the sides of a cube are doubled, the volume of the cube increases by a factor of 8 (2^3). This means that the weight of the new cube will also increase by a factor of 8.

Given that the weight of the original cube is 6 pounds, multiplying it by 8 gives us the weight of the new cube.

Weight of new cube = 6 pounds * 8 = 48 pounds

Therefore, the correct answer is A) 48.

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