Question

The volume of cube is 729 centimetre cube then the total surface area of cube will be

Answer 1

$volume \: of \: cube \: = 729 \: {cm}^{3} \\ {side}^{3} = ({9 \: cm})^{3} \\ side \: of \: cube \: = 9 \: cm \\ total \: surface \: area \: of \: cube \: = 6( {side}^{2} ) \\ = 6( {9)}^{2} \\ = 6 \times 81 = 486 \: {cm}^{2}$

Answer 2

Solution

Given :-

• The volume of cube is 729 cm³

Find :-

• total surface area of cube

Explanation

Using Formula,

★ Volume of cube = (Side)³

★ Total surface area of cube = 6 × (Side)²

So, Now

➡ Volume of cube = 729

➡(Side)³ = 729

➡Side = ±³√(729)

➡Side = ± ³√(9×9×9)

➡Side = ± 9

We know,

Length be always be positive .

So, take.

• Side = 9 cm

So, Now calculate Total surface area,

➡ Total surface area of cube = 6 × (Side)²

➡ Total surface area of cube = 6 × (9)²

➡ Total surface area of cube = 6 × 81

➡ Total surface area of cube = 486 cm²

Hence

• Total surface area of cube will be 486 cm²

_________________