Question

The dimensions of a piece of iron in the shape of a cuboid are 270cm * 100cm * 64cm. If the cuboid has melted and cast into cubes of side 12cm. Find the number of cubes obtained. ( * is multiplication symbol)

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Answer 1

Answer:-

Given,

Dimensions of cuboid are :-

Length , (l) = 270 cm

Breadth , (b) = 100cm

Height ,(h) = 64cm

Also,

Side of cube is 12cm

Let no.of.cubes obtained be ‘n’

No.of.cubes = Volume of cuboid/Volume of cube

=> Volume of cuboid.

We know that,

Volume of cuboid = lbh

=> 270*100*64

=> 1728000 cu.cm

=> Volume of cube :

We know that,

Volume of cube = l^3

=> 12 * 12 * 12

=> 1728 cu.cm

Now,

No.of cubes = volume of cuboid/volume of cube

=> n = 1728000/1728

=> n = 1000

Therefore,The number of cubes obtained are 1000.

Answer 2

Answer:

volume of cuboid =l×b×h

=270×100×64

=1,728,000

volume of cube=l cube

=

${12}^{3} \\ \\ = 1728$

if 1= 1,728,000

?= 1,728

so we get 1000 cubes

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