Volume of
Prisms and Cylinders
Essential Question: How do you find the
volume of a right prism or a right
cylinder?
Students will write a summary describing how to find the
volumes of right prisms and right cylinders.
Volume Formulas
Right Prism
Right Cylinder
V=Bh
2
V = B h = 𝜋𝑟 h
B = area of base
h = height
r = radius
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
EXAMPLE 1: Find the volume of the puzzle piece in cubic units.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
EXAMPLE 2: Find the volume of the right trapezoidal
prism.
𝟏
Hint: The formula for the area of the base (trapezoid) is 𝟐 𝒃𝟏 + 𝒃𝟐 𝒉
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
EXAMPLE 3: Find the volume of the right cylinder.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
EXAMPLE 4: The volume of the cube is 90 cubic inches.
Find the value of x.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
Cavalieri’s Principle uses cross sections to find the volume of the
oblique cylinder.
Example 5: Find the volume of the oblique cylinder.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
Example 6: Find the volume of the oblique prism shown below.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
Example 7: Find the volume of the solid.
Hint: Vs = Volume of prism – Volume of rectangle.
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.
Homework: Page 822 #6-16, 19, 20
Essential Question: How do you find the volume of a right prism or a right cylinder?
Students will write a summary describing how to find the volumes of right prisms and right cylinders.