Question

How many cubes of side 5cm can be fitted inside a cuboid of dimensions,

length= 20cm, breadth=5cm and height=5cm?​

Answer 1

Step-by-step explanation:

Volume of cuboid =5×4×2=40cm

3

Volume of cube =(2)

3

=8cm

3

∴ Number of cubes =

Volumeofcube

Volumeofcuboid

=

8

40

Number of cubes =5

Answer 2

Step-by-step explanation:

Cubes are 3-dimensional objects and always remember that when it comes to 3-dimensional objects, we mostly use volume (for measurement).

Basically, the question is asking how many small boxes can be fit into a bigger box :D

Now, the small boxes are cubes and have all the 3 dimensions of 5 cm

And the bigger box has the dimensions of 85 x 60 x 50 cm

Now Remember, when it comes to 3-dimensional objects, we will use volume.

The volume of a cube is a^3 (a x a x a) where a is the side of the cube. So, the volume of the small box becomes:

5cm x 5cm x 5cm = 125 cm^3

The volume of the bigger box (call it a cuboid to be precise) will be L x H x B where L is length, B is breadth and H is the height. Thus the volume becomes:

85cm x 60cm x 50cm= 255,000 cm^3

Now, how many small boxes can be fit into the larger one? Simple! Divide the volume of the bigger one by the smaller one.

Which means Volume of Cuboid/Volume of Cube

=255,000 cm^3 / 125cm^3

= 2040 Cubes

$hope \: it \: helps \: you.$