The area of the base of box is 81 ft^2
Further explanation:
We are given
Volume of cube = V = 729 ft^3
In order to find the area of base we have to find the length of side first
So,
Let s be the side of cube
[tex]V = s^3\\s^3 = V\\s^3 = 729\\Taking\ cube\ root\ on\ both\ sides\\\sqrt[3]{s^3}=\sqrt[3]{729}\\ (s^3)^{\frac{1}{3}}=(9*9*9)^{\frac{1}{3}}\\s=(9^3)^{\frac{1}{3}}\\s=9\ ft[/tex]
The area of base:
[tex]A=s^2\\A=(9)^2\\A=81\ ft^2[/tex]
The area of the base of box is 81 ft^2
Keywords: Area of cube, Volume of cube
Learn more about area of cube at:
#LearnwithBrainly
