V O L U M E Determining the volume of REGULAR and IRREGULAR Objects
REGULAR OBJECTS Rectangular Prism Cube Cylinder
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.
One Cubic Unit 1 unit (length) 1 unit (height) 1 unit (width) A unit might be measured in inches, feet, centimeters, etc.
Rectangular Prism How many cubic units is this rectangle? Yes! There are 10 cubic units.
The formula for finding the volume of a rectangular prism is …. Length x Width x Height = Volume
Example: 4 x 3 x 2 = 24 cubic units L W H
Try this one Remember… there are some cubes you can’t see!
Try this one Remember… there are some cubes you can’t see! 12 cubic units
Cube V = s 3 S S S
How many cubic units is this Cube? 3 x 3 x 3 = 27 cubic units L W H V = s 3
Cylinder The cylinder has a radius and a height. Think of the area of the circle r 2 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.
Illustration of Formula r H V = r 2 h
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
Irregular Objects
The Crow and The Pitcher
Displacement Method Starting level: 40 mL
Displacement Method Object Beginning Water Level: - 40 mL Ending Water Level: 60 mL Volume of the Object 20 mL
Archimedes and the Golden Crown
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?
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 ?
Exercises: One of the students of Science Class was assigned to determine the volume of a 20 th 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 20 th century coin that the student put?