Question

If the volume of a cube is 729 cm3 find the total surface area?

Answer 1

Heya !!!

Here is your answer,

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Volume of a cube = 729 cm cube.


$Volume \: \: of \: \: cube = {(side)}^{3} \\ \\ => 729 = {(side)}^{3} \\ \\ = > \sqrt[3]{729} = side \\ \\ => 9 = side$

Side of the cube = 9 cm

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T.S.A = 6×(side)²

= 6×(9)²

= 6×81

= 486cm square.

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Hope it helps.

Answer 2

Answer:

Volume=729 $cm^{3}$

$a^{3}$=729

∴a= 3x3= 9cm (LCM)

TSA=$6a^{2}$=6 x $9^{2}$ = 486$cm^{2}$