Question

A cuboid of dimension 72cm X 54cm X 36cm. How many small cubes of size 9cm can be

placed in the given cuboid?​

Answer 1

Answer:

volume of cuboid = l×b×h

72×54×36 = 139968cm³

volume of cube = l³

9×9×9= 729cm³

total number of cubes can placed in the given cuboid= 139968/729= 192

Answer 2

Before, finding the solution. Let's see on how to find the answer :

• First multiply the dimensions of cuboid to get the volume of cuboid.
• Then multiply the dimension of cube to get the volume of cube.
• Divide the volume of Cuboid with the volume of cubes.

_____________________________

Given :

• Volume of Cuboid = 72cm, 54cm and 36 cm.
• Size of cubes = 9 cm

To find :

• How many cubes can fit in cuboid.

Solution :

Volume of Cuboid = 72 × 54 × 36 cm

= 1,39,968 cm³

Hence, dimension is 1,39,968 cm³.

Volume of Cube = a × a × a

= 9 x 9 x 9

= 729 cm³

Now, let's find his many cubes can fit inside.

$\sf \: No \: of \: cubes \: = \dfrac{1,39,968}{729}$

$\sf \: No \: of \: cubes \: = 192$

Hence, 192 cubes can fit inside the cuboid.