Question

If a cube has surface area S & volume V
, then the volume of the cube of surface area 2s is

Answer 1

Hello Mortals

Let the side of cube be a.
a³ = V
And,
6a²= S----(i)


Now,
If surface area is 2S, then
2S = 6a²
=> 2S = 12a²
=> S = 6a²
So,
a = under root S/6

Volume = a³
= S/6× under root S/6

Answer 2

Answer:

Step-by-step explanation:

surface area of cube is directly proportional to volume

S/V=k......(1)

Let the volume be a

If surface area =2S

Then

2S/a=k.....(2)

From (1) and (2)

S/V=2S/a

a=2S/Sx V

a=2V

The volume will be 2V.