Chapter 12.4, Problem 11PSB

Solution

To Calculate: The length of one side of the cube.

The length of one side of the cube is $6$

Given information:

The volume and the surface area of the cube have same numerical value.

Formula used:

Here, we are using the formula:

Volume of cube = $a^3$

(Where, “a” is the length of one side of the cube)

Surface area of cube = $6a^2$

(Where, “a” is the length of one side of the cube)

Calculation:

Here, Volume of cube = Surface area of cube (given)

  $a^3$ = $6a^2$

  $a=6$

Conclusion: Hence, the length of one side of the cube is $6$