Concept explainers
Extended and Discovery Exercise
Exercises 1- 4: Measuring the thickness of a very thin layer of material can be difficult to do directly. For example. it would be difficult to measure the thickness of an oil film on water or a coat of paint with a ruler. However, it can be done indirectly using the following formula.
That is, the thickness of a thin layer equals the volume of the substance divided by the area that it covers. For example, if a volume of 1 cubic inch of paint is spread over an area of 100 square inches, then the thickness of the paint equals
- Thickness of an Oil Film A drop of oil measuring 0.12 cubic centimeter in volume is spilled onto a lake. The oil spreads out in a circular shape having a diameter of 23 centimeters. Approximate the thickness of the oil film.
- Thickness of Gold Foil A flat, rectangular sheet of gold foil measures 20 centimeters by 30 centimeters and has a mass of 23.16 grams. If 1 cubic centimeter of gold has a mass of 19.3 grams. find the thickness of the gold foil. (Source: U. Haber-Schaim. Introductory Apical Science.)
- Thickness of Cement A 100-foot-long sidewalk is 5 feet wide. If 125 cubic feet of cement are evenly poured to form the sidewalk, find the thickness of the sidewalk.
- Depth of a Lake A lake covers 2.5 X 107 square feet and contains 7.5 X 108 cubic feet of water. Find the average depth of the lake.
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College Algebra with Modeling & Visualization (6th Edition)
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