Volume of Aluminum Foil. One cubic centimeter of
aluminum weighs 2.7 grams. If a piece of aluminum
foil weighs 5.4 grams, find the volume of the aluminum
foil.
Use cross multiplication for direct proportion:
1 c.c. : 2.7 grams
x c.c. : 5.4 grams
x=5.4*1/2.7=2 cc
A rectangular sheet
of aluminum foil is 50 centimeters long and
20 centimeters wide, and weighs 5.4 grams. Find
the thickness of the aluminum foil in centimeters
To find the volume of the aluminum foil, we need to use the given information that one cubic centimeter of aluminum weighs 2.7 grams. We can set up a proportion using this relationship.
Let's assume the volume of the aluminum foil is V cubic centimeters.
Given:
Weight of aluminum foil = 5.4 grams
Weight of 1 cubic centimeter of aluminum = 2.7 grams
Using the proportion:
Weight of aluminum foil / Weight of 1 cubic centimeter of aluminum = Volume of aluminum foil / 1 cubic centimeter
Substituting the values we have:
5.4 grams / 2.7 grams = V cubic centimeters / 1 cubic centimeter
Simplifying the equation:
2 = V / 1
Solving for V:
V = 2 cubic centimeters
Therefore, the volume of the aluminum foil is 2 cubic centimeters.