Question

The base of a right square pyramid is side 60cm . If the slant height is 34cm then volume of the pyramid

Answer 1

If the slant height is 34cm and base side of a square pyramid  is 60 cm then the volume of the pyramid is 19200 cm³.

Step-by-step explanation:

The base side of the right square pyramid, a = 60 cm

Slant height, s = 34 cm

Let the vertical height of the pyramid be “h” cm.

The formula for slant height is given by,

s² = h² + ($\frac{a}{2}$)²

substituting the given values

⇒ (34)² = h² + (60/2)²

⇒ h² = 1156 – 900

⇒ h² = 256

⇒ h = 16 cm

Now,

The formula for the volume of a right square pyramid is given by,

= $\frac{1}{3}$ * (base area) * height

= $\frac{1}{3}$ * a² * h

Substituting the given values

= $\frac{1}{3}$ * (60)² * 16

= 19200 cm³

Thus, the volume of the right square pyramid is 19200 cm³.

------------------------------------------------------------------------------------------

Also View:

A regular square pyramid is 3m.height and the perimeter of its base is 16m. find the volume of the pyramid?

https://brainly.in/question/239904

The base of a right pyramid is a square of side 40 cm long. if the volume of the pyramid is 8000 then its height is : 5 cm 10 cm 15 cm 20 cm

https://brainly.in/question/5575839