VOLUME OF A SQUARE
AND RECTANGULAR
PYRAMID
CHRISTIE FE D. BERSANO
MATHEMATICS TEACHER
Let’s do this first!
Problem:
The diameter of a can of sardines is
5 cm, and the height is 8.5 cm. What is
the volume of the tin can?
GUIDE QUESTIONS:
•What is being asked in the
problem?
•What is the unit used in the
problem?
•What is the volume of the tin can?
TODAY’S LESSON
VOLUME OF A SQUARE
AND RECTANGULAR
PYRAMID
What id Pyramid?
•Pyramids are three-dimensional
geometric shapes where the base is a
polygon, and all other sides are
triangles that meet at the apex or vertex
•The height of the pyramid is the
perpendicular height, which is the
distance from the apex or vertex to the
base of the pyramid.
•The slant height is the distance
measured along a lateral face from the
apex to the base edge. It is the height
of the triangle, which is the lateral face
of the pyramid.
RECTANGULAR PYRAMID
•A Rectangular Pyramid is a three-
dimensional geometric shape
that has a rectangular base and
four triangular faces (lateral
faces) that are joined at the top
by a vertex or apex.
Example:
Find the volume of a rectangular
pyramid whose base is 6 x 7
inches and a height of 10 inches.
Example:
Find the volume of a rectangular
pyramid if its base length is 10
meters, its base width is 6 meters,
and its height is 14 meters.
Example:
Suppose that the government of the City
of Manila is planning to build a pyramidal
water reservoir. The base area of the reservoir
has to be 12,545 square feet (ft2). Given
that its height is 51 feet
(ft), find the volume of the reservoir.
VOLUME OF A SQUARE AND RECTANGULAR PYRAMID.pptx
VOLUME OF A SQUARE AND RECTANGULAR PYRAMID.pptx

VOLUME OF A SQUARE AND RECTANGULAR PYRAMID.pptx

  • 1.
    VOLUME OF ASQUARE AND RECTANGULAR PYRAMID CHRISTIE FE D. BERSANO MATHEMATICS TEACHER
  • 2.
    Let’s do thisfirst! Problem: The diameter of a can of sardines is 5 cm, and the height is 8.5 cm. What is the volume of the tin can?
  • 3.
    GUIDE QUESTIONS: •What isbeing asked in the problem? •What is the unit used in the problem? •What is the volume of the tin can?
  • 4.
    TODAY’S LESSON VOLUME OFA SQUARE AND RECTANGULAR PYRAMID
  • 5.
    What id Pyramid? •Pyramidsare three-dimensional geometric shapes where the base is a polygon, and all other sides are triangles that meet at the apex or vertex
  • 7.
    •The height ofthe pyramid is the perpendicular height, which is the distance from the apex or vertex to the base of the pyramid. •The slant height is the distance measured along a lateral face from the apex to the base edge. It is the height of the triangle, which is the lateral face of the pyramid.
  • 8.
    RECTANGULAR PYRAMID •A RectangularPyramid is a three- dimensional geometric shape that has a rectangular base and four triangular faces (lateral faces) that are joined at the top by a vertex or apex.
  • 12.
    Example: Find the volumeof a rectangular pyramid whose base is 6 x 7 inches and a height of 10 inches.
  • 13.
    Example: Find the volumeof a rectangular pyramid if its base length is 10 meters, its base width is 6 meters, and its height is 14 meters.
  • 14.
    Example: Suppose that thegovernment of the City of Manila is planning to build a pyramidal water reservoir. The base area of the reservoir has to be 12,545 square feet (ft2). Given that its height is 51 feet (ft), find the volume of the reservoir.