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Hazel has two cubes. The smaller cube has a volume of 2727 cubic units. The larger cube's sides are twice as long as those of the small cube. What is the volume of the second cube?\newline____ cubic units

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Full solution

Q. Hazel has two cubes. The smaller cube has a volume of 2727 cubic units. The larger cube's sides are twice as long as those of the small cube. What is the volume of the second cube?\newline____ cubic units
  1. Determine Side Length: Step 11: Determine the side length of the smaller cube.\newlineGiven volume of smaller cube = 2727 cubic units.\newlineVolume formula for a cube: V=s3 V = s^3 where s s is the side length.\newlineSolving for s s : s3=27 s^3 = 27 .\newlines=273=3 s = \sqrt[3]{27} = 3 units.
  2. Calculate Larger Side Length: Step 22: Calculate the side length of the larger cube.\newlineSide length of larger cube = 22 times the side length of the smaller cube.\newlineslarge=2×3=6 s_{large} = 2 \times 3 = 6 units.
  3. Calculate Larger Volume: Step 33: Calculate the volume of the larger cube.\newlineUsing the volume formula V=s3 V = s^3 for the larger cube.\newlineV=63=216 V = 6^3 = 216 cubic units.

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