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.
*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)
QUICK DEFINITION 3-Dimensional objects are NOT FLAT. They have 3 measurements: Length Width Height
Cubic Units Volume is measured in cubic units. Use cubes to fill a rectangular prism such as a box.
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.
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!
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: 3 mm 2 mm 12 mm
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 12.125 inches. How much cereal will the box hold?
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?
Now let’s try a more challenging problem.
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.
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
BINGO Let’s Practice finding Volume