Question

find the volume and lateral surface area of a cube whose total surface area is 486 cm2​

Answer 1

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Answer 2

Answer:

Answer :$729 cm³$

Step-by-step explanation :

We know that ;

$Surface area of cube = 6 a²$

$But, according to the question,$

$Surface area if cube = 486 cm²$

$⇒ 6 a² = 486 cm²$

$⇒ a² = 486 / 6.$

$⇒ a² = 81.$

$⇒ a = √81.$

$Now, side of cube = 9 cm.$

$Volume of cube = a³ = 9 * 9 * 9. = 729 cm³$

$Hence, the vol is 729 cm³$

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