Answer:
This is the volume of cube V = 729 [tex]in^{3}[/tex]
Step-by-step explanation:
Surface area of cube = 486 [tex]in^{2}[/tex]
Surface area of the cube is given by A = 6 × [tex]a^{2}[/tex]
⇒ 6 × [tex]a^{2}[/tex] = 486
⇒ [tex]a^{2}[/tex] = 81
⇒ a = 9 in
This is the value of side of the cube. so volume of the cube is given by
⇒ V = [tex]a^{3}[/tex]
Put the value of a in above formula w get,
⇒ V = [tex]9^{3}[/tex]
⇒ V = 729 [tex]in^{3}[/tex]
This is the volume of cube