SOLUTION: A smaller cube has a volume of 64 cubic feet and a larger cube has a volume of 343 cubic feet. What is the scale factor of the smaller cube to the larger cube?

Question 33556: A smaller cube has a volume of 64 cubic feet and a larger cube has a volume of 343 cubic feet. What is the scale factor of the smaller cube to the larger cube?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The volume of a cube is given by: where s is the length of one edge of the cube.
A cube with a volume of 64 cubic feet has an edge of length (the cube-root of 64)4 feet.
A cube with a volume of 343 cubic feet has an edge of (the cube-root of 343) 7 feet.
The scale factor of the smaller cube to the larger cube is then:
or
4 to 7 or
4:7
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