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Question

A cuboid is of dimensions 60cm×54cm×30cm. How many small cubes with side 6cm can be placed in the given cuboid?


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Solution

Given,

Length of cuboid,l=60cm,

Breadth of cuboid,b=54cm

Height of cuboid, h=30cm

Side of cube=6cm

To Find out

We have to find out how many small cubes can be placed in the given cuboid

Solution

Volume of Cuboid=lengthxbreadthxheight=60cmx54cmx30cm=97200cm3

Volume of Cube =(side)3=(6cm)3=216cm3

Number of small cubes that can be placed inside given cuboid

=VolumeofgivenCuboidVolumeofoneCube=97200216=450

Hence,450 small cubes can be placed inside given cuboid.


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