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

Given

Length of cuboid, l = 60 cm,

Breadth of cuboid, b = 54 cm 

Height of cuboid, h = 30 cm

size of cube= 6cm

Find out

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

Solution

Volume of Cuboid = length x breadth x height = 60 cm x 54 cm x 30 cm = 97200 cm3

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

Number of small cubes that can be placed inside given cuboid = Volume of given Cuboid/ Volume of one Cube

= 97200/216 

= 450 

Answer

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

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