The formula A=6 2/3 relates the surface area A, in square units, of a cube to the volume V, in cubic units. What is the volume, in cubic inches, of a cube with surface area 486 in2

Respuesta :

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

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