A wooden box has a square base. The height of this box is 3 times the length of one side of the base. If one side of the base is 3 feet long, what is the volume of this box?

Respuesta :

Answer:

[tex]V=81\ \text{feet}^3[/tex]

Step-by-step explanation:

A wooden box has a square base

One side of the base is 3 feet

The height of this box is 3 times the length of one side of the base, h = 3(3) = 9 feet.

The volume of the box is given by :

[tex]V=A\times h[/tex]

A is area of base

For square base, A = side²

[tex]V=3^2\times 9\\\\=81\ \text{feet}^3[/tex]

So, the volume of this box is [tex]81\ \text{feet}^3[/tex]