Question

3. Find the volume of the pyramid.

Answer 1

`916.11\:ft^(3)`

Explanation:

Volume of the hexagonal pyramid =
`1/3* (area\: of \: hexagonal\:base)* height`

Here sides of hexagonal base = 9 ft

So, Area of hexagon =
`6* (√(3) )/(4) a^(2)`

`6* (√(3) )/(4) * 9 * 9`

`= 210.5`

Height is given, 13 ft

So, volume =
`1/3* 210.5* 13`

`= 916.11\: ft^(3)`

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