maths pyramid
TRANSCRIPT
Types of Pyramid
TriangularPyramid
Square Pyramid
Pentagonal Pyramid
½ x h x b
s x s
½ x a x pa= apothemp= perimeter
BASEPYRAMIDFORMULA OF BASE AREA
Example of Triangular Pyramid
Find the volume of the following triangular pyramid (correct to 1 decimal place):
Find the area of the base:
Example of Square Pyramid
• Find the volume of a square pyramid with a height of 3 cm and a side length of 2 cm.
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 cmb = 7 cmh = 11 cm
Volume of a pentagonal pyramid= 5/6 x abh
= 5/6 × 5 cm × 7 cm × 11 cm
= 320.833 cm3
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