Question

a hexagonal pyramid is 20 m high right side of the base is 5m the volume of the pyramid is ​

Answer 1

Answer:

GIVEN: H=20M

a=5M

Step-by-step explanation:

SOLUTION:

Area of base= ✓3/4×a^2×6

= ✓3/4×5^2×6

= 3√3/2×25 m^2

Volume of pyramid = 1/3×A×h

= 1/3×3√3/2×25×20

= 250√3 m^3

Therefore ,

volume = 250√3 m^3

Answer 2

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,

$A=\frac{3\sqrt{3} }{2} a^2$

Substitute the value,

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

$A=\frac{3\sqrt{3} }{2}\times 25$

$A=64.95\ m^2$

The volume of the pyramid is given by,

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

Substitute the value,

$V = \frac{1}{3}\times 64.95\times20$

$V = 433\ m^3$

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

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