VOLUME.

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Volume of Rectangular Prisms

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Presentation transcript:

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.

A unit might be measured in inches, feet, centimeters, etc. 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!

Remember… there are some cubes you can’t see! How about this one? Remember… there are some cubes you can’t see! Watch...

Yes! There are 12 cubic units! Now Count Them What did you find? Yes! There are 12 cubic units!

The formula for finding the volume of a rectangle is …. 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 3 x 2 = 18 cubic units

Find the volume of this one! What did you find? 4 x 2 x 3 = 24 cubic units

FIND THE VOLUME OF THIS RECTANGULAR PRISM: NOTES! FIND THE VOLUME OF THIS RECTANGULAR PRISM: 3 mm 2 mm 12 mm

FIND THE VOLUME OF THIS RECTANGULAR PRISM:

FIND THE VOLUME OF THIS RECTANGULAR PRISM: 5 cm 5 cm 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:

FIND THE VOLUME OF THIS RECTANGULAR PRISM:

Trailers that travel on the road behind trucks are rectangular prisms 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?

One last question: 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?