volume of a pyramid presentation1
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VOLUME OF A PYRAMIDSOLID GEOMETRY IS CONCERNED WITH THREE-DIMENSIONAL SHAPES. IN THIS LESSON, WE WILL LEARN:
What is Pyramid?
Types of Pyramid
What is the formula of Pyramid?
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Parts of 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.
What is Pyramid?
Volume of a Pyramid
Parts of a Pyramid
Types of Pyramid
Triangular Pyramid
Base
Square Pyramid
Base
Types of Pyramid
Pentagonal Pyramid
Types of Pyramid
Right Pyramid
Oblique Pyramid
Regular Pyramid
Base is regular
Irregular Pyramid
Base is Irregular
A Pyramid is made by connecting a base to an apex.
Parts of Pyramid
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:
What is the formula of Pyramid?
Volume of a Pyramid
Volume of a Pyramid
Formula of Rectangular Pyramid
Volume of a Pyramid
Formula of Triangular Pyramid
Volume of a Pyramid= ½ * p * h;= ½ * p * h;
Formula of Square Based Pyramid
Volume of a Pyramid
Volume of a PyramidHOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Solution:
V
Volume = 80 cm3
Example: Find the volume of a
Pyramid with a rectangular base measuring 6 cm by 4 cm and height 10 cm.
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Volume of a Pyramid
A pyramid has a square base of side 4 cm and a height of 9 cm. Find its volume.Solution:
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Find the volume of the following triangular pyramid, rounding your answer to two decimal places.
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Solution:
Find the volume of a rectangular-based pyramid whose base is 8 cm by 6 cm and height is 5 cm.Solution:
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Thank You!!! For watching!!!
Prepared by:Princess Anne L. Agustin III-B St. GregoryJoyce Vesagas III-B St. Gregory