Problem

The volume of a three-dimensional object is a measure of the space occupied by the object....

The volume of a three-dimensional object is a measure of the space occupied by the object. For example, we would need to know the volume of a gasoline tank in order to find how many gallons of gasoline it would take to completely fill the tank.

In the following exercises, a formula for the volume (V) of a three-dimensional object is given, along with values for the other variables. Evaluate V. (Use 3.14 as an approximation for π) See Example.

EXAMPLE Using Formulas to Evaluate Variables
Find the value of the remaining variable in each formula.
(a) A = LW; A = 64, L = 10
As shown in FIGURE 7, this formula gives the area A of a rectangle with length L and width W. Substitute the given values into the formula.
FIGURE 7
The width is 6.4. Since 10(6.4) = 64, the given area, the answer checks.
(b)
This formula gives the area of a trapezoid. See FIGURE.
FIGURE
The length of the shorter parallel side, b, is 15. This answer checks, since , as required.