Note Remember that an exponent represents repeated multiplication. For example, 2 2 2 23; the exponent 3 means that 2 is being multiplied by itself 3 times. Multiplying units works the same way. For example, cm cm cm cm3. Find the volume of each box. a) 5 cm 2 cm 3 cm b) 1 in. 1 5 1 in. 1 5 1 in. 1 5 EXAMPLE 1 Solution a) Identify length, width, and height. l 5 cm, w 3 cm, h 2 cm Use the volume formula. V lwh V (5 cm)(3 cm)(2 cm) Substitute the values. V 30 cm3 cm cm cm cm3 This box will hold 30 of the 1-cm3 boxes or 30 cm3. b) Notice that the length, width, and height of this box are the same. This is a special type of rectangular solid; it is a cube. A cube is a rectangular solid in which the length, width, and height are the same. V lwh V a1 1 5 in.b a1 1 5 in.b a1 V a 6 5 in.b a 6 5 in.b a V 216 125 in3 The volume is 216 125 in3 or 1 YOU TRY 1 Find the volume of each box. a) 4 ft 1 2 8 ft 5 6 3 ft 6 5 in.b 91 125 in3. b) in.b Substitute the values. Change the mixed numbers to improper fractions. Multiply. 5 m 5 m 5 m 1 5 320 CHAPTER 4 Basic Geometry Concepts and Algebra www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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