Question

Find the volume of a cubical box whose surface area is 486 cm².

Answer 1

Hi there

Edge = a
Surface area = 6a² = 486 cm²

6a² = 486 cm²

a² = 486 /6

a² = 81

a = √81

a = 9 cm

Edge = a = 9 cm

Volume = a³ = 9³ = 729 cm³

Answer 2

Ahoy ! 

Given :

Surface are of cube = 486 cm^2 

6 a^2 = 486 

a =$\sqrt{ \frac{486}{6 \frac{x}{y} } }$ 

a= $\sqrt{81}$

a= 9 cm 

Volume = $a^{3}$

Volume = 729 $cm^{3}$

May it helps you ^ _ ^