A cuboidal block of 8 cm x 12 cm x 20 cm is cut into an exact number of equal cubes.The least possib

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02 Sep 2022 Mensuration

A cuboidal block of 8 cm x 12 cm x 20 cm is cut into an exact number of equal cubes.The least possible number of equal cubes will be

OPtion

1) 24
2) 18
3) 16
4) 33
5) 32
6) 20
7) 36
8) 30
9) 27
10) None of these

Solution

Volume of block=(8 x 12 x 20) cu.cm = 1920 cu.cm
Side of largest cube = H.C.F of 8,12,20 = 4 cm
Volume of a cube=(4 x 4 x 4)=64 cu.cm
Number of cubes=(1920/64)=30
Correct Option 8)

Correct Option: 8 Best Solution (2)