24. Volume of a Prism
Volume of prism = is the product
of the base area (B) and the height
(h).
V= B x h
Since B=l x w,
then V=l x w x h
V= 5cm x 5cm x 5cm
V= 625 cm3
26. Volume of a Pyramid
Complete the statement:
Volume of the pyramid= ______x volume of
rectangular prism.
For a rectangular prism, V= l x w x h
So for pyramid, V= _____ l x w x h
Or V= l x w x h
?
The volume of a pyramid is 1/3 the volume
of a prism w/ same base area (B) and
height (h).
27. Volume of a Pyramid
Formula:
V = 1/3 x l x w x h
28. The volume of a Rectangular Prism and a Pyramid
The volume of each pyramid is equal to ⅓Bh = ⅓(18 × 8) = 48 cm3.
The volume of all three pyramids combined equals 144 cm3. The
volume of the rectangular prism is equal to Bh = 18 × 8 = 144 cm3
30. GROUP ACTIVITY
Group I – Construct a prism and a pyramid with same base and
height
Group II – Solve for the volume of the two figures using the
formula.
Group III – Compose a rap song about the relationship of the
volume of rectangular prism and pyramid
Group IV – Dramatize the importance of the volume of solid
figures (rectangular prism and pyramid) as we apply it in daily
living.
33. GENERALIZATION
Volume of prism = is the product of the base area (B)
and the height (h).
The volume of a pyramid is 1/3 the volume of
a prism w/ same base area (B) and height (h).
V= B x h or V= l x w x h
V= 1/3 x B x h or V= 1/3 x l x w x h
34. Application
Read and solve:
Find the volume of a rectangular prism and
square pyramid with the same base of 6 cm by
4 cm and a height of 10 cm.
35. Assessment
Find the volume of the following figures. Write and compare the
formula used in solving the problem
c)