The total surface area of a cube is 864 $c m^{2} .$ Its volume is

(a) 3456 $c m^{3}$ (b) 432 $c m^{3}$ (c) 1728 $c m^{3}$ (d) 3456 $c m^{3}$

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Solution

Let the side of a cube = a cm

It is given that ,

Surface area of the cube = 864 $c m^{2}$

6 $a^{2}$ = 864

$a^{2}$ = $\frac{864}{6}$

$a^{2}$ = 144

a =

a = 12 cm

Volume of the cube = $a^{3}$

V = $12 c m^{3}$

V = 1728 $c m^{3}$
option c is correct

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