Question

a rectangular solid metallic cuboid 32cm 27cm 15cm is melted and recast into solid cubes each of side 6cm. how many solid cubes can be made from the metal

Answer 1

Let a be the side of cube and l b h be the dimensions of the cuboid

Volume of cuboid = lbh
= 32 ×27×15
= 12960 cm^3

volume of cube = a^3
= 6 × 6 × 6
= 216 cm^3


no of solid cube = 12960 / 216

= 60
Hence 60 cubes can be made


hope this helps u
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Answer 2

L=32cm
B=27cm
H=15cm

Volume of cuboid=l×b×h
=32×27×15
=12960cm

a=6cm

Volume of cube=a³
=(6)³
=216cm

No. of cubes can be made
Volume of Cuboid
=----------------------------
Volume of Cube
12960
= ----------
216
= 60cubes