Question

Find the volume of the following square pyramid. geometry hw

Answer 1

Given:

The square base pyramid with height 3 cm and base edge 2 cm.

To find:

The volume of the square pyramid.

Solution:

Volume of a square base pyramid is:

`V=(1)/(3)Bh` ...(i)

Where, B is the base area and h is the height of the pyramid.

Base is a square with edge 2 cm, so the base area is:

`B=a* a`

Where, a is the edge of the square base.

`B=2* 2`

`B=4`

Putting
`B=4,h=3` in (i), we get

`V=(1)/(3)(4)(3)`

`V=4`

Therefore, the volume of the given pyramid is 4 cm³.