The document discusses volume, specifically defining it as the space a figure occupies and noting it is measured in cubic units. It provides the formulas for finding the volume of different shapes like prisms, which is done by multiplying the area of the base by the height. As an example, it calculates the volume of a rectangular prism that is 8 feet tall with a base of 6 feet by 3 feet to be 144 cubic feet using the volume formula for a prism.

1. January 28,2013

2. Volume
0 The volume of a figure is a measure of the
space it occupies. Volume is measured in
cubic units.
0 You can find the volume of a figure by using
the appropriate volume formula.

3. B in the formulas for volume represents the
area of the Base of a solid figure

4. EXAMPLE
Find the volume of a rectangular prism that is 8 feet
tall and has a base that measures 6 feet by 3 feet.

5. 0 • The formula for the volume of a prism
is found by multiplying the area of its
base, B, by its height, h .
V = Bh
0 • The base of this prism is a rectangle.
The area of a rectangle is equal to its
length times its width.
B = 6 ft x 3 ft
B = 18 ft²

6. 0 Substitute 18 square feet for B and 8 feet
for h in the formula for the volume of a
prism.
V = Bh
V = 18 ft² x 8 ft
V = 144 ftᵌ
0 The volume of the rectangular prism is
144 cubic feet.