a rectangular block 6 cm by 12 15 is cut up into..., Area & Volume, General Mathematics

Question:A rectangular block `6` cm by `12` cm by `15` cm is cut up into exact number of equal cubes. The least possible number of cubes will be :

A `6` 
B `11` 
C `33` 
D `40`

/113

+ AnswerD

+ ExplanationVolume of block 

`= (6 xx 12 xx 15) cu. cm`

`= 1080 cu. cm`.

The side of largest cube 

= H.C.F.of `6 cm, 12 cm, 15 cm = 3 cm`.

Volume of this cube 

`= (3 xx 3 xx 3) cm^3 = 27 cm^3`

Number of cubes 

`= (1080/27)`

`= 40`.

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