SOLUTION: There are two cubes. The first cube has a volume of 64 cm3. We don't know the second cube but we know that the ratio of the volumes of the two cubes are 2:3. Calculate the volum

Algebra ->  Volume -> SOLUTION: There are two cubes. The first cube has a volume of 64 cm3. We don't know the second cube but we know that the ratio of the volumes of the two cubes are 2:3. Calculate the volum      Log On


   

Question 973404: There are two cubes.
The first cube has a volume of 64 cm3.
We don't know the second cube but we know that the ratio of the volumes of the two cubes are 2:3.
Calculate the volume of the second cube.
Found 2 solutions by macston, stanbon:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
x=volume of second cube
2%2F3=64cm%5E3%2Fx Cross-multiply.
2x=192cm%5E3 Divide each side by 2.
x=96cm%5E3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are two cubes.
The first cube has a volume of 64 cm3.
We don't know the second cube but we know that the ratio of the volumes of the two cubes are 2:3.
Calculate the volume of the second cube.
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Equation:
64/x^3 = 2/3
32/x^3 = 1/3
x^3 = 3*32 = 96cm^3
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Cheers,
Stan H.
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