SOLUTION: HOW MANY 30 CM CUBES CAN BE CUT OUT OF A CUBE WHOSE VOLUME IS 135 CUBIC METERS ?

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Question 945418: HOW MANY 30 CM CUBES CAN BE CUT OUT OF A CUBE WHOSE VOLUME IS 135 CUBIC METERS ?
Found 2 solutions by Fombitz, macston:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a 30cm side cube is,
V=30%5E3=27000cc
Converting the cubic meters to cc,
V%5Bt%5D=135%281000%29%5E3=135000000000cc
So then,
N=V%5Bt%5D%2FV=135000000000%2F27000=5000000

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
cube root of 135 cu meters=5.13 meters=length of edge of cube
5.13 m(100cm/m)=513 cm per edge
513 cm/30 cm=17 whole cubes 0f 30 cm on each edge so
17*17*17= 4913 ANSWER 4913 30 cm cubes can be cut from a cube with volume=135 cu meters.
However, if the large cube were filled with a liquid and poured into 30 cm cubes
30 cm=0.30 m
Volume of small cube=.30*.30*.30=0.027 cu meters each
135 cu meters would fill (135/.027)=5000
So while there is sufficient volume for 5000 cubes, due to spatial arrangement only 4913 cubes could be cut from a cube with a volume 135 cu meters.