Question

find the volume of a cube whose surface area is 150 meter square

Answer 1

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Answer 2

Volume of the cube $\bold{= 125\ m^{3}}$.  

Volume of the cube:  A "volume of a cube" can be determined by the formula $v=a^{3}$    

In order to find the "volume" of the cube we need to know the "length”, breadth and width of the cube by multiplying all the three components "volume of the cube" can be determined

Let each side of the cube be a.

Given, Surface area of cube $= 150\ \mathrm{m}^{2}$.

$\begin{array}{l}{6 a^{2}=150 m^{2}} \\ {a^{2}=\frac{150}{6} m^{2}=25 m^{2}} \\ {a=\sqrt{25} m=5 m} \\ {a=5 m}\end{array}$

∴ Volume of the cube $= (5 m)^{3}=125\ m^{3}$.