volume of a pyramid presentation1
DESCRIPTION
TRANSCRIPT
![Page 1: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/1.jpg)
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
![Page 2: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/2.jpg)
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
![Page 3: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/3.jpg)
Parts of a Pyramid
![Page 4: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/4.jpg)
Types of Pyramid
Triangular Pyramid
Base
![Page 5: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/5.jpg)
Square Pyramid
Base
Types of Pyramid
![Page 6: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/6.jpg)
Pentagonal Pyramid
Types of Pyramid
![Page 7: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/7.jpg)
Right Pyramid
![Page 8: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/8.jpg)
Oblique Pyramid
![Page 9: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/9.jpg)
Regular Pyramid
Base is regular
![Page 10: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/10.jpg)
Irregular Pyramid
Base is Irregular
![Page 11: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/11.jpg)
A Pyramid is made by connecting a base to an apex.
Parts of Pyramid
![Page 12: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/12.jpg)
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
![Page 13: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/13.jpg)
Volume of a Pyramid
![Page 14: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/14.jpg)
Formula of Rectangular Pyramid
Volume of a Pyramid
![Page 15: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/15.jpg)
Formula of Triangular Pyramid
Volume of a Pyramid= ½ * p * h;= ½ * p * h;
![Page 16: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/16.jpg)
Formula of Square Based Pyramid
Volume of a Pyramid
![Page 17: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/17.jpg)
Volume of a PyramidHOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
Solution:
V
Volume = 80 cm3
![Page 18: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/18.jpg)
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
![Page 19: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/19.jpg)
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?
![Page 20: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/20.jpg)
Find the volume of the following triangular pyramid, rounding your answer to two decimal places.
HOW TO SOLVE WORD PROBLEMS ABOUT PYRAMIDS?
![Page 21: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/21.jpg)
Solution:
![Page 22: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/22.jpg)
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?
![Page 23: Volume of a pyramid presentation1](https://reader033.vdocuments.site/reader033/viewer/2022052310/54b676f44a79592d298b4631/html5/thumbnails/23.jpg)
Thank You!!! For watching!!!
Prepared by:Princess Anne L. Agustin III-B St. GregoryJoyce Vesagas III-B St. Gregory