If the surface area of a cube is 5046 $$cm^2$$​, then the volume of the cube is:

Correct option is D

Given:

Surface area of cube = 5046$$cm^2$$​​

Formula Used:

Surface area of cube =$$6a^2$$​​

Volume of cube =$$a^3$$ 

Solution:

Let side of cube = a

According to question

​$$6a^2 =5046$$​​

$$a^2 = 841$$​ 

a =29 

So, volume of cube = $$(29)^3 =24389 cm^3$$​​