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VOLUME
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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.
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*Always measured in units cubed (u3)
VOLUME VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object! *Always measured in units cubed (u3)
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QUICK DEFINITION 3-Dimensional objects are NOT FLAT. They have 3 measurements: Length Width Height
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Cubic Units Volume is measured in cubic units.
Use cubes to fill a rectangular prism such as a box.
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RECTANGULAR PRISM The volume of a 3-D object called a RECTANGULAR PRISM, which is a solid figure that has six faces that are all rectangles. Opposite faces are congruent and parallel.
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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)
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How many cubic units is this rectangle?
What did you find? Yes, it is 8 cubic units!
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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.
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Let’s try it! L = 3 H = 3 W = 2 3 x 3 x 2 = 18 cubic units
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Find the volume of this one!
What did you find? 4 x 2 x 3 = 24 cubic units
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FIND THE VOLUME OF THIS RECTANGULAR PRISM:
3 mm 2 mm 12 mm
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Let’s practice some problems and solving them.
A cereal box has a length of 8 inches, a width of 1.75 inches, and a height of inches. How much cereal will the box hold?
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Alexis’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 meters of water can it hold?
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Now let’s try a more challenging problem.
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Be Careful. You must convert 3 feet to inches
Be Careful! You must convert 3 feet to inches. Subtract and then convert back to feet.
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Length x Width x Height 12 x 2 x 2 ½ 24 x 2 ½ 60
Length = 12 feet Width = 2 feet Height = 30 inches or 2 ½ feet Length x Width x Height 12 x 2 x 2 ½ 24 x 2 ½ 60 A
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BINGO Let’s Practice finding Volume
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