Question

If the total surface area of a cube is 726cm^2, then find its volume.

Answer 1

Heya!!

Here is your answer
$tsa \: of \: cube \: = 6( edge) {}^{2} \\ 6(edge) {}^{2} = 726 \\ edge {}^{2} = \frac{726}{6} \\ edge = 11 \\ \\ volume \: of \: cube \: = (edge)cube \\ volume \: = \: 11 \times 11 \times 11 \\ = 1331cm.cube$

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Answer 2

Given : Total surface area (TSA) of the cube is 726cm²

To find : Volume (V) of that cube

Solution :

First we will find the side of the cube by using the formula of TSA of the cube

TSA of cube = 6 × side²

☛ 726 = 6 × side²

☛ side² = $\dfrac{726}{6}$

☛ side = √121

∴ $\boxed{\rm{Side\:=\:11\:cm}}$

Now, Volume :-

Volume of cube = side³

☛ V = (11)³

∴ $\large{\boxed{\boxed{\rm{Volume\:=\:1331\:cm^3}}}}$