Question

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

Answer 1

VOLUME OF CUBIOD = L*B*H
=60*54*30
= 97200cm2
VOLUME OF CUBE= a cube
=6*6*6
=216cm2
ACCORDING TO THE QUES
=97200÷ 216
=450 cm2

Answer 2

Question :-

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 = 60 cm

• Breadth of cuboid = 54 cm

• Height of cuboid = 30 cm

• Side of small cube = 6cm

To find :-

• How many small cubes with side 6 cm can be placed in the given cuboid ?

Solution :-

Volume of the cuboid

= l × b × h

= 60 cm × 54 cm × 30 cm

= 97200 ${cm}^{3}$

__________

Volume of the cube

= ${(side)}^{3}$

= ${(6)}^{3}$

= 216 ${cm}^{3}$

__________

Number of the cubes from the cuboid

$\: \: \: = \: \: \: \: \dfrac{volume \: of \: cuboid}{volume \: of \: cube}$

$\: \: \: = \: \: \: \: \dfrac{97200}{216}$

$\: \: \: = \: \: \: \: 450$

Hence, the required number of cubes = 450.