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There are two cubes. The first cube has a volume of 1,0001,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube?\newline_______\_\_\_\_\_\_\_ cubic units

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Q. There are two cubes. The first cube has a volume of 1,0001,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube?\newline_______\_\_\_\_\_\_\_ cubic units
  1. Calculate first cube side: Calculate the side length of the first cube.\newlineSince the volume of a cube is given by side3side^3, we find the side length of the first cube by taking the cube root of 1,0001,000.\newlineside=cube root of 1,000=10side = \text{cube root of } 1,000 = 10 units.
  2. Determine second cube side: Determine the side length of the second cube.\newlineThe second cube's sides are half as long as the first cube's sides.\newlineside of second cube = 102=5\frac{10}{2} = 5 units.
  3. Calculate second cube volume: Calculate the volume of the second cube.\newlineVolume of the second cube = side3=53=125\text{side}^3 = 5^3 = 125 cubic units.

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