Question

the volume of a cube in m^3 is equal to the surface area of the cube in m^2. the volume of the cube is?​

Answer 1

Answer:

Let the side of the cube be a.

Volume of the cube  V=a3

Surface area of the cube  S=6a2

Given :   V=S

Or   a3=6a2

⟹ a=6 m

Thus volume of the cube  V=a3=63 m3=216 m3

Answer 2

Explanation:

According to the Question ,

volume of cube = surface area of cube

${x}^{3} = 6 {x}^{2}$

Here , x is the side of the cube .

$\frac{ {x}^{3} }{ {x}^{2} } = 6$

$x = 6$

Therefore , the side of the cube is 6 m.

Volume of the cube = 6×6×6 = 216 m^3

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