Volume of Prisms and Cylinders
Lesson Objective
Students will use the formula for the volume of
a prism and cylinder to solve problems.
Lesson Beginning
Based on the exploratory activity, tell me three
things that you learned about volume of
cylinders.
Volume (V) is a measure of the amount of space
that it occupies.
Volume of Prisms
Volume of a prism is the product of the area of
the base and the height of the prism.
V = Bh
Volume of Cylinder
Volume of a cylinder is the product of the area
of the base and the height of the cylinder.
V = Bh
Modeling
Find the volume.
Modeling
Find the volume.
Practice
Find the volume.
Practice
Find the height of the cylinder. Round your
answer to the nearest whole number.
Practice
A movie theater designs two bags to hold 96
cubic inches of popcorn.
(a) Find the height of each bag.
(b) Which bag should the theater choose to reduce
the amount of paper needed? Explain.
Practice
How much salsa is missing from the jar?
Practice
A cylindrical water tower has a diameter of 15
meters and a height of 5 meters. About how
many gallons of water can the tower contain?
(1𝑚3 ≈ 264 gal)
As time allows
25) Which has a greater effect on the volume of
a cylinder: doubling the height or doubling the
radius? Which has a greater effect on the
volume of rectangular prism that is longer than
it is wide: doubling the length or doubling the
width? Explain?
As time allows
36) Two prisms have different surface areas. Can
they have the same volume? Explain.