Question

d) A cuboid of dimensions 60cm x 54cm x 30cm. How many small cubes with side 6cm can be
placed in the given cuboid ?​

Answer 1

Answer:

Step-by-step explanation:

60x54x30=97200cm^3

volume of 1 cube=6x6x6

                          =>216cm^3

no of cubes which can be fit =97200/216

                                              =>450

Answer 2

Answer :

• 450 is small cube can be placed in the given cuboid

Given :

• A cuboid of dimensions 60cm × 54cm × 30cm

To find :

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

Solution :

Firstly we have to find the volume of cuboid and volume of cube

Given,

• Length of cuboid = 60cm
• Breadth of cuboid = 54cm
• Height of cuboid = 30cm

And also Given ,

• Side of cube = 6cm

Now Given that cube is the place of cuboid so

Now , Volume of cuboid

As we know that,

• Volume of cuboud = l × b × h

》60 × 54 × 30

》6 × 54 × 3 × 100

》18 × 54 × 100

》972 × 100

》97200cm²

Now Volume of cube

As we know that,

• Volume of cube = (side)³

Given side is 6cm so,

》(6)³

》6 × 6 × 6

》216 cm³

Now ,

• Number of cubes = Number of cuboid/Volume of one cube

》97200/216

》16200/36

》2700/6

》 450

hence , 450 is small cubes can be placed in the given cuboid