Question

An hexagonal pyramid is 20 m high. Side of base is 5 m. Find the volume and slant height of the pyramid​

Answer 1

The volume of the pyramid is 433 cubic meter.

Step-by-step explanation:

Given : A hexagonal pyramid is 20 m high right side of the base is 5 m.

To find : The volume of the pyramid ?

Solution : The right side of the base is a =5 m.

The area of the base of the hexagonal pyramid is given by,

$A= 23 3 a 2$

Substitute the value,

$A=\frac{3\sqrt{3} }{2} 5^2A= 23 3 5 2$

$A= 23 3×25$

$A=64.95\ m^2$

The volume of the pyramid is given by,

$V = \frac{1}{3}\times \text{Area of base}\times \text{Height}V= 31×Area of base×Height$

Substitute the value,

$V = \frac{1}{3}\times 64.95\times20V= 31×64.95×20$

$V=433 m3$

Therefore, the volume of the pyramid is 433 cubic meter.