SOLUTION: A rectangular prism has breadth 48 cm, length 42 cm and height 30 cm. If the cubes have to be as large as possible , how many cubs would fill this rectangular prism?

Question 1184700: A rectangular prism has breadth 48 cm, length 42 cm and height 30 cm. If the cubes have to be as large as possible , how many cubs would fill this rectangular prism?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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A rectangular prism has breadth 48 cm, length 42 cm and height 30 cm.
If the cubes have to be as large as possible , how many cubs would fill this rectangular prism?
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The greatest common divisor of the numbers 48, 42 and 30 is 6.


HENCE, the cubes of the side 6 cm shoud be used.


5 cubes in one dimension, 7 cubes in the other dimension and 8 cubes in the third dimension.


In all, 5 * 7 * 8 = 280 cubes by 6 x 6 x 6 cm.    ANSWER

Solved.

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