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1 . A cube has a volume of 8M3 . If each side is doubled is length, what will be its new volume ?

A. 16 M 3
B. 24 M 3
C. 32 M 3
D. 48 M 3
D. 64 M 3

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Answer: Option E

Explanation:

The volume of a cube is calculated by cubing the length of its sides. If each side is doubled in length, the new volume can be found by cubing the new side length.

Given that the original volume is 8M^3, we need to find the new volume when each side is doubled.

The side length of the cube can be calculated as the cube root of the volume: side length = ∛(8M^3) = 2M.

When each side is doubled in length, the new side length becomes 2 * 2 = 4M.

The new volume of the cube can be calculated by cubing the new side length: new volume = (4M)^3 = 64M^3.

Therefore, the new volume of the cube is 64M^3.

The correct answer is E. 64M^3.

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