Question

Question #63626

Answer 1

`V=72sqrt3 ft^3`

Explanation:

Given that all sides are of equal length and all interior angles are of equal size, the hexagon is a regular hexagon.

Area of a regular hexagon `A=(3sqrt3)/2a^2`
where `a` is the side length of the hexagon.

`=> A=(3sqrt3)/2*4^2=24sqrt3 ft^2`

Volume `V = Area xx height`
given height `=3`
`=> V=24sqrt3*3=72sqrt3 ft^3`