Question

how many 2 centimetre cubes can be cut from bigger cube whose side is 32cm

Answer 1

Answer:

4096

Step-by-step explanation:

Given : a small cube of side 2 cm.

            a big cube of side 32 cm.

To Solve : how many 2 centimeter cubes can be cut from bigger cube whose side is 32 cm?

Solution :

First find the volume of both the cubes

Volume of cube =$x^{3}$

Where x is side

Volume of small cube = $2^{3}=8cm^{3}$

Volume of big cube = $32^{3}=32768cm^{3}$

So, no. of small cubes can be cut from bigger cube:

=Volume of big cube/Volume of small cube

⇒ $\frac{32768}{8}$

⇒ $4096$

Thus 4096 cubes of 2 cm can be cut from bigger cube.