Question

(i) If the Lateral Surface Area of a cube is $900c{m}^2$, find the length of its side.
(ii) If the Total Surface Area of a cube is $1014c{m}^2$, find the length of its side.
(iii) The volume of the cube is $125d{m}^3$. Find its side

Answer 1

i) LSA of cube$=900c{m}^2\Rightarrow 4a^2=90\Rightarrow a=\sqrt{225}=15cm$

ii)TSA of cube$=1014c{m}^2\Rightarrow 6a^2=1014\Rightarrow a=\sqrt{169}=13cm$

iii)Volume of cube$=125d{m}^3\Rightarrow a^3=125\Rightarrow a=\sqrt[3]{3125}=5cm$