7.2 Length, Area, and Volume 423 c) A truckload of topsoil d) A liquid drug dosage e) The air in a soccer ball f) The metal in a dime g) Water in a drinking glass h) Water in a swimming pool i) The gasoline used by an Uber driver in one year j) Concrete used to lay the foundation for a basement Solution a) Cubic kilometers b) Liters c) Cubic meters d) Milliliters or cubic centimeters e) Cubic centimeters f) Cubic millimeters g) Milliliters h) Kiloliters or liters or cubic meters i) Liters or kiloliters j) Cubic meters 7 Now try Exercise 37 Example 7 Swimming Pool Volume A rectangular swimming pool is 18 m long and 9 m wide, and it has a uniform depth of 3 m (Fig. 7.9). Determine (a) the volume of the pool in cubic meters and (b) the volume of the pool in kiloliters. Solution a) To determine the volume in cubic meters, we use the formula V l w h = × × Substituting values for l w, , and h we have = × × = V 18m 9m 3m 486 m3 b) Since 1 m 1 k , 3 = the pool will hold 486 k of water. 7 Now try Exercise 73 3 m 18 m 9 m Figure 7.9 Example 8 Choose an Appropriate Unit Select the most appropriate answer. The volume of a shoe box is approximately a) 1500 mm .3 b) 6500 . c) 6500 cm .3 Solution A shoe box is not a liquid, so its volume is not expressed in liters. Thus, (b) is not the answer. The volume of the rectangular solid in Fig. 7.10 is approximately 1500 mm ,3 so (a) is not an appropriate answer. A shoe box may measure about 33 cm 18 cm 11 cm, × × or 6534 cm .3 Therefore, 6500 cm3 or (c) is the most appropriate answer. 7 Now try Exercise 47 15 mm 10 mm 1 mm3 10 mm Figure 7.10 When the volume of a liquid is measured, the abbreviation cc is often used instead of cm3 to represent cubic centimeters. For example, a nurse may give a patient an injection of 3 cc or 3 m of the drug ampicillin.
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