SOLUTION: The ratio of the lengths of the sides of two cubes is 2:5. The smaller cube is 5 cm on one edge. to the nearest whole number of cubic units, what is the volume of the larger cube?

Question 752845: The ratio of the lengths of the sides of two cubes is 2:5. The smaller cube is 5 cm on one edge. to the nearest whole number of cubic units, what is the volume of the larger cube?
Having a problem with the ratio part.
Found 2 solutions by josmiceli, Okeke_Christian:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The ratio of the lengths of the sides of two cubes is 2:5
given:

The side of the larger cube is cm

The volume of the larger cube is 1,953.125 cm3

Answer by Okeke_Christian(26) (Show Source): You can put this solution on YOUR website!
A cube has all sides of equal lengths.
Ratio (Small:Big) = 2:5
Length of small = 5cm
Length of big = (let's say) xcm
2:5=5:x

Cross Multiply

Therefore, length of big cube on each edge =
But volume of cube = l^3
Volume of Big cube = => =>
Therefore, volume of larger cube = to nearest whole number of cubic units.
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