FPC MATH 10
NAME:_______________________
Date:______________________
Lesson Notes 1.5: Volumes of Right Pyramids and Right Cones
LESSON FOCUS: Solve problems involving the volumes of right pyramids and right cones.
Right pyramids and right cones are related to right prisms and right cylinders. Look at the
objects below:
In the following diagram, there are 4 objects (prisms) and they have the same height, but
they are different in volume.
What is “Volume”?
Volume is the amount of space an object occupies. It is measured in cubic units.

Example 1) Calculate the volume of this right square pyramid to the nearest cubic inch.
Example 2) Calculate the volume of this right square pyramid to the nearest cubic inch.
CHECK YOUR UNDERSTANDING
Calculate the volume of this right square pyramid to the nearest cubic foot.
[Answer: approximately 9 ft.3]
Example 3) Calculate the volume of this right rectangular pyramid with the base dimensions 5.4 cm
by 3.2 cm and height 8.1 cm. Answer to the nearest tenth of cm3.
Example 4) Determine the volume of this cone to the nearest cubic inch.
CHECK YOUR UNDERSTANDING
Determine the volume of this cone to the nearest cubic millimetre.
[Answer: approximately 218 mm3]
Example 5) A cone has a height of 4 yd. and a volume of 205 cubic yards. Determine the radius of
the base of the cone to the nearest yard.
Example 6) Calculate the volume of this right hexagonal pyramid to the nearest cubic centimetre.