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?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> 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?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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:
+2%2F5+=+5%2Fs+
+2s+=+25+
+s+=+12.5+
The side of the larger cube is +12.5+ cm
+12.5%5E3+=+1953.125+
The volume of the larger cube is 1,953.125 cm3

Answer by Okeke_Christian(26) About Me  (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
%282%2F5%29=%285%2Fx%29
Cross Multiply
2x=25
x=%2825%2F2%29
Therefore, length of big cube on each edge = %2825%2F2%29cm
But volume of cube = l^3
Volume of Big cube = %2825%2F2%29%5E3 => 15625%2F8 => 1953.125
Therefore, volume of larger cube = 1953cm%5E3 to nearest whole number of cubic units.