Question

Find the side and volume of a cube whose total surface area is $5046m^2$.
(3 marks)

Answer 1

Given surface area of a cube = $5046m^2$

Let “$a$ ” be the side of the cube.

We know that, surface area of cube $=6a^2$

(1 mark)

$\Rightarrow 6a^2=5046$

$\Rightarrow a^2=\frac{5046}{6}$

$\Rightarrow a^2=841$

$\Rightarrow a=\sqrt{841}$

$\Rightarrow a=29m$

(1 mark)

Volume of the cube$=a^3$

$\therefore$ Volume of the cube$={29}^3$

$=24389m^3$

(1 mark)
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