9. Example of Pentagonal
Pyramid
• Find the volume of a pentagonal pyramid of apothem length
5 cm, base length 7 cm and height 11 cm ?
• Solution:
Given,
a = 5 cm
b = 7 cm
h = 11 cm
Volume of a pentagonal pyramid
= 5/6 x abh
= 5/6 × 5 cm × 7 cm × 11 cm
= 320.833 cm3
10. RIGHT vs. OBLIQUE Pyramid
- tell us where the top (apex) of the pyramid is
- when the apex is directly above the center of
the base it is a Right Pyramid, otherwise it is an
Oblique Pyramid.
Right Pyramid Oblique Pyramid
11. Volume of a truncated square
pyramid
Formula
V = 1/3 (a2 + ab + b2 ) h
12. Example of Truncated
square pyramid
Calculate the lateral area, surface area and volume of the
truncated square pyramid whose larger base edge is 24 cm,
smaller base edge is 14 cm and whose lateral edge is 13 cm.
Solution: