Volume of a pyramid presentation1Presentation Transcript
VOLUME OF A PYRAMIDSOLID GEOMETRY IS CONCERNED WITH THREE-DIMENSIONAL SHAPES. IN THIS LESSON, WE WILLLEARN: What is the formula ofTypes of Pyramid Pyramid? Parts of Pyramid
Volume of a Pyramid A Pyramid is a solid with a polygon base and connected by triangular faces to its vertex. The lateral faces meet at a common vertex. The height of the pyramid is the perpendicular distance from the base to the vertex. A Pyramid is a regular pyramid if its base is a regular polygon and the triangular faces are all congruent isosceles triangles. The pyramid is named after the shape of its base. A rectangular pyramid has a rectangle base. A triangular pyramid has a triangle base. A Right Pyramid is a pyramid in which the vertex is vertically above the center of the base. If the vertex is not vertically above the center of the base then it is an oblique pyramid.
Parts of a Pyramid
Types of Pyramid Triangular Pyramid Base
Types of PyramidSquare Pyramid Base
Types of Pyramid Pentagonal Pyramid
Regular Pyramid Base is regular
Irregular Pyramid Base is Irregular
Parts of Pyramid A Pyramid is madeby connecting a base to an apex.
Volume of a PyramidWhat is the formula ofPyramid? The volume of a pyramid is equal to one- third the product of the area of the base and the height. The volume of a pyramid is given by the formula:
Volume of a Pyramid
Volume of a Pyramid Formula of Rectangular Pyramid
= ½ * p * h; Volume of a Pyramid Formula of Triangular Pyramid
Volume of a Pyramid Formula of Square Based Pyramid
Volume of a Pyramid Solution: V Volume = 80 cm3
Volume of a Pyramid Example: Find the volume of a Pyramid with a rectangular base measuring 6 cm by 4 cm and height 10 cm.
A pyramid has a square base of side 4 cm and a height of 9 cm. Find its volume. Solution:
Find the volume of the following triangular pyramid, rounding your answer to two decimal places.
Find the volume of a rectangular-based pyramid whose base is 8 cmby 6 cm and height is 5 cm.Solution:
Thank You!!! For watching!!!Prepared by: Princess Anne L. Agustin III-B St. Gregory Joyce Vesagas III-B St. Gregory