Question

the total surface area of a cube is 1350 m square find its volume[

Answer 1

Surface Area = 6s^2=1350  

s^2= 1350/6 = 225 square centimeters.  

Therefore s, the side = 15 centimeters.  

Volume = s^3 = 15^3 = 3375 cubic centimeters.

Answer 2

$total \: surface \: area \: of \: cube = {6x}^{2} \\ given \: that \: tsa \: of \: cube = {1350m}^{2} \\ \\ therefore \\ 1350 = 6x {}^{2} \\ \frac{1350}{6} = {x}^{2} \\ 225 = {x}^{2} \\ x = \sqrt{225} \\ x = 15 = side \: of \: cube \\ \\ volume \: of \: cube = x {}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {(15)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 225 {cm}^{3}$
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