Question

the volune of the cube is 64,000cm³ . find the side of the cube
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Answer 1

Given: The volume of the cube is $64,000$cm³.

We have to find the side of the cube.

As we know that the volume of a cube is calculated by side³.

$\therefore$ The area of cube = side³

We are solving in the following way:

Let assume the side of the cube will be$x.$

We have,

The volume of the cube is $64,000$cm³.

Now,

=> The area of cube = side³

$=> 64000=x^{3} \\=>x=3\sqrt{64000} \\=>x=40$

We get, $x=40$cm.

Hence, the value of the side of the cube will be $40$cm.

       

Answer 2

To find : side of cube  

Given : volume of cube = $64,000\ cm^{3}$

Solution :

• We know that  all side of cube are equal
• Let 'a ' be the side cube then  formula for volume of cube is given by :

               $Volume \ of \ cube = a^{3}$  

• Substituting  value in above formula we get side of cube ,

         $64,000 = a^{3}$

                  $a = \sqrt[3]{64000}$

                  $a = 40$

Hence, side of cube is $40 cm$.