Question

If the slant height of a pyramid is 5 m and its base edge is 6 m long, then find the height of the pyramid.

• A. 4 m
• B. 3 m
• C. 5 m
• D. 6 m

Answer 1

The correct option is A

4 m

Given:
Slant height, $h=5m$
Base edge $=6m$
Let the height of the Pyramid be H m.

Applying Pythagoras theorem, we get
$h^2=H^2+(\frac{\text{Base Edge}}{2}{)}^2$
$5^2=H^2+(\frac{6}{2}{)}^2$
$H^2=5^2-3^2$
$\Rightarrow H=\sqrt{5^2-3^2}=\sqrt{16}=4m$