SOLUTION: Leslie has 200 cm cubes. What is the volume of the largest cube she can make with them? How many different cubes can she make with the centimetres cubes she have left over?

Algebra ->  Volume -> SOLUTION: Leslie has 200 cm cubes. What is the volume of the largest cube she can make with them? How many different cubes can she make with the centimetres cubes she have left over?      Log On


   

Question 116909:

Leslie has 200 cm cubes.
What is the volume of the largest cube she can make with them?
How many different cubes can she make with the centimetres cubes she have left over?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
CUBE ROOT OF 200=5.848
THEREFORE ONLY A 5*5*5=125 CUBE CAN BE MADE WITH 200 CUBES.
CUBE ROOT OF THE REMAINING 75=4.2172
THEREFORE ONLY A 4*4*4=64 CUBE CAN BE MADE WITH 75 CUBES.
CUBE ROOT OF THE REMAINING 11=2.224
THEREFORE ONLY A 2*2*2=8 CUBE CAN BE MADE WITH 11 CUBES.
CUBE ROOT OF THE REMAINING 3 CUBES=0
PROOF
5^3+4^3+2^3+3=200
125+64+8+3=200
200=200