1. Volume of Rectangular Pyramids EQ: How do you find the volume of a rectangular Pyramid ?

2. VOLUME of PYRAMIDS
Consider a pyramid and a prism having equal heights and bases with equal areas.
If the pyramid is filled with sand and its contents poured into a prism, only one- third of the prism will be filled. Thus the volume of a pyramid is ⅓ the volume of the prism.
w = 4 cm
l = 9 cm
h = 6 cm
base

3. The volume of a pyramid is related to the volume of a prism with the same base and height. The relationship can be verified by dividing a cube into three congruent square pyramids, as shown.

4. https://my. hrw. com/content/hmof/math/gomath/common/video/video
d=ref:TXGOMTH_RW_V7.09

5. Formula

7. Pyramids are classified according to their base.
Rectangular Pyramid- the base is a rectangle.
Triangular Pyramid- the base is a triangle.

8. EXAMPLE 1: FIND THE VOLUME OF A RECTANGULAR PYRAMID
Solution:
V = ⅓(bh)h
V = ⅓(8 x7)(6 )
V = ⅓ x 56 x 6
V = ⅓ x 336
V = 112 in3

9. EXAMPLE 2: FIND THE VOLUME OF A RECTANGULAR PYRAMID
Solution:
V = ⅓Bh
= ⅓(4 x 10) x 6
= ⅓ (240 cm³)
V = 80 cm³

10. Volume of Triangular Pyramids EQ: How do you find the volume of a Triangular Pyramid ?

11. Example 1

12. Example 2 3