The volume of a cube is 729 cm3. Find its surface area.

Question:

The volume of a cube is 729 cm3. Find its surface area.

Solution:

Let the edge of the cube be $a$.

As,

Volume of the cube $=729 \mathrm{~cm}^{3}$

$\Rightarrow a^{3}=729$

$\Rightarrow a=\sqrt[3]{729}$

$\Rightarrow a=9 \mathrm{~cm}$

Now,

Surface area of the cube $=6 a^{2}$

$=6 \times 9 \times 9$

$=486 \mathrm{~cm}^{2}$

So, the surface area of the cube is 486 cm2.

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