Volume-of-pyramids-day3-1.pdf dddddddddd

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1. Volume of Pyramids Highway Hills Integrated School

2. MATHEMATICS CLASS HIGHWAY HILLS INTEGRATED SCHOOL Good Afternoon

3. to find the area of irregular polygons.
to derive the formula for the volume of pyramids with
irregular polygons as the base
Solve problems involving volume of pyramids with
irregular polygons as the baseClass Objectives At the end of the lesson, the learners are able to: MATHEMATICS CLASS HIGHWAY HILLS INTEGRATED SCHOOL

4. “Explicitation”
Compare the polygons in Column A to those
polygons in Column B.

5. Since the formula in finding the volume of a
pyramid is , the area of the base of this
pyramid will use the formula in finding the area
of a triangle which is Volume of Irregular Triangular
Pyramidwhere b = base of the triangle and H = is the
altitude or height of the triangle. Substituting in
the formula for the volume of a pyramid

6. Volume of Irregular
Triangular Pyramid

7. Volume of other Irregular
Pyramid

8. Volume of other Irregular
Pyramid

9. Volume of other Irregular
Pyramid

10. Example 1: The base of a pyramid is a right triangle with
legs measuring 15 in. and 17 in. Find the volume of the
triangular pyramid whose height of the pyramid is 19 in.
Worked Example:
Note: Formula for irregular
triangular pyramid
Solution:

11. Example 2: The trapezoid-based right pyramid has the bases
21cm and 23cm respectively. The height of the trapezoidal base is
6 cm while the height of the pyramid is 25 cm. Find its volume.
Worked Example:
Note 1: Formula for irregular
trapezoid pyramid is
Note 2: But before we solve the
volume we need to get first the
area of trapezoid, And the formula
for the area of the trapezoid is:

12. Worked Example:

13. Is everything clear? Feel free to make this an open discussion
for questions or clarifications before proceeding. MATHEMATICS CLASS HIGHWAY HILLS INTEGRATED SCHOOL

14. Lesson Activity A. Find the volume of the following pyramid. 1.
2.

15. Lesson Activity
B. Solve the following problems. (Round off your
answers to the nearest hundredths)
1.Find the volume of a pyramid with a triangular
base. The base has a length of 6 in and a height of
8 in, while the height of the pyramid is 12 in.

16. Lesson Activity
2. The steel machine part shown below has a base area of
32.5 in and a height of 7.8 in. The steel weighs 10.2
grams per cubic inch. How much does this part weigh?
2
3. A right pyramid whose height is 23 cm. has a trapezoid
base. The lengths of the bases are 17cm and 14cm
respectively and the trapezoid’s height is 8cm. Find its
volume.

17. That’s all for today,
thank you!! MATHEMATICS CLASS HIGHWAY HILLS INTEGRATED SCHOOL