mydoggy152
mydoggy152 mydoggy152
  • 01-02-2019
  • Mathematics
contestada

What is the surface area of a cube with the volume of 729 ft?

What is the surface area of a cube with the volume of 729 ft class=

Respuesta :

gmany
gmany gmany
  • 04-02-2019

Answer:

S.A. = 486 in²

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - length of edge

The formula of a Surface Area of a cube:

[tex]S.A.=6a^2[/tex]

We have V = 729 ft³. Substitute:

[tex]a^3=729\to a=\sqrt[3]{729}\to a=9\ in[/tex]

[tex]S.A.=6(9^2)=6(81)=486\ in^2[/tex]

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