VOLUME What is Volume Volume is the measure
- Slides: 21
VOLUME
What is Volume? • Volume is the measure of the capacity of a container. • It is the measure of how much a container of a particular shape will hold - liquids, dry substances, etc.
Cubic Units • Volume is measured in cubic units. • Use cubes to fill a rectangular prism such as a box.
One Cubic Unit 1 unit (length) A unit might be measured in inches, feet, centimeters, etc. 1 unit (height) 1 unit (width)
How many cubic units is this rectangle? What did you find? Yes, it is 8 cubic units!
How about this one? Remember… there are some cubes you can’t see! Watch. . .
Now Count Them What did you find? Yes! There are 12 cubic units!
What’s the formula? The formula for finding the volume of a rectangle is …. L x W x H = Volume This means we take the length times the width, then multiply that by the height.
Let’s try it! L=3 H=3 W=2 3 x 2 = 18 cubic units
Find the volume of this one! What did you find? 4 x 2 x 3 = 24 cubic units
NOTES! FIND THE VOLUME OF THIS RECTANGULAR PRISM: 3 mm 2 mm 12 mm
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 4 in 10 in 3 in
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 5 cm
NOTES! A cereal box has a length of 8 inches, a width of 1. 75 inches, and a height of 12. 125 inches? How much cereal will the box hold?
Alexia’s bathroom has a tub in the shape of a rectangular prism with a length of 1. 5 meters, a width of 0. 5 meter, and a height of 0. 4 meter. How many cubic feet of water can it hold?
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 11 in 40 in 9 in
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 8 m 8 m 8 m
Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?
An aquarium shaped like a rectangular prism has a length of 120 centimeters, a width of 60 centimeters, and a height of 100 centimeters. How much water is needed to fill the aquarium?
A rectangular prism has a length of 2 inches, a height of 5 inches, and a width of 3 inches. What is the volume of this rectangular prism?
What would happen to the volume if we multiplied the height by a scale factor of 3?
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