Question

find the volume of a cube whose total surface area is 486 cm square

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Answer 1

Answer:

volume of cube is 729 cubic centimeter

Answer 2

$\huge\underline\mathrm{Question-}$

Find the volume of a cube whose total surface area is 486 cm².

$\huge\underline\mathrm{Solution-}$

Total surface of cube = 6(a)²

$\mapsto$ 6a² = 486

$\mapsto$ a² = 486/6

$\mapsto$ a² = 81

$\mapsto$ a = √81

$\mapsto$ a = 9 cm

$\rule{200}2$

Volume of cube = a³

put a = 9 cm

$\mapsto$ Volume of cube = (9)³

$\mapsto$ Volume of cube = 729 cm³

$\therefore$ The volume of cube whose total surface area is 486 cm² is 729 cm³.