This document discusses methods for calculating the volume of regular and irregular objects. It provides formulas for calculating the volume of rectangular prisms as length x width x height, cubes as the cube of the side length, and cylinders as πr^2h. It also explains the displacement method for finding the volume of irregularly shaped objects by measuring the amount of water displaced when the object is submerged. Examples are given for applying these volume calculation methods and formulas.

1. V O L U M EDetermining the volume of REGULAR
and IRREGULAR Objects

2. REGULAR OBJECTS
• Rectangular Prism
• Cube
• Cylinder

3. What is Volume?
• Volume is the measure of the capacity of a
container.
• It is the space occupied by a substance.
• It is the measure of how much a container of a
particular shape will hold - liquids, dry
substances, etc.
• Volume is measured in cubic units.

4. One Cubic Unit
1 unit
(length)
1 unit
(height)
1 unit
(width)
A unit might be
measured in inches,
feet, centimeters,
etc.

5. Rectangular Prism
How many cubic units is this rectangle?
Yes! There
are 10
cubic
units.

6. The formula for finding the volume of a
rectangular prism is ….
Length x Width x Height =
Volume

7. Example:
4 x 3 x 2 =
24 cubic units
L W H

8. Try this one
Remember…
there are some
cubes you can’t
see!

9. Try this one
Remember…
there are some
cubes you can’t
see!
12 cubic units

10. Cube
V = s3
S
S
S

11. How many cubic units is this Cube?
3 x 3 x 3 =
27 cubic units
L W H
V = s3

12. Cylinder
• The cylinder has a radius and a height. Think
of the area of the circle r2 and then to find
the volume multiply the area by the height.
You extruded the circle to give it a third
dimension. Just like the squares and the
rectangle.

13. Illustration of Formula
r

14. Example:
Ralph Laureen has a cylindrical water jug. It
has a radius of 6 cm and a height of 25 cm.
How much water will fit in the jug?
Answer: 2826 𝑐𝑚3

15. Irregular Objects

16. The Crow and The Pitcher

17. Displacement Method
Starting level: 40 mL

18. Displacement Method
Object
Beginning Water Level: - 40 mL
Ending Water Level: 60 mL
Volume of the Object 20 mL

19. Archimedes and the Golden Crown

20. Exercises:
•King Dexter bought a bronze bar in
the junkshop to be used in
experiment. She wants to know its
volume. If the measurements of a
bronze bar are 10 cm (length), 5 cm
(width) and 2 cm (height), what is the
volume of the metal bar?

21. Exercises:
Atlanta Resort construct a public
pool beside their hotel in Casa
de Salcraper. The pool measures
78 feet long, 36 feet wide, and 6
feet deep. How much water will
fit in the pool?

22. Exercises:
One of the students of Science Class was
assigned to determine the volume of a 20th
century coin. First, he was instructed to
measure 30 mL of water. After putting
some water, he placed the coin at the
graduated cylinder and the reading
became 55 mL. What is the volume of the
20th century coin that the student put?