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:

$V=\dfrac{1}{3}Bh$            ...(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:

$B=a\times a$

Where, a is the edge of the square base.

$B=2\times 2$

$B=4$

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

$V=\dfrac{1}{3}(4)(3)$

$V=4$

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