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1 Matter and Measurement Solutions to Exercises 1.52 11.0 ft 11.5 ft 20.5 ft = 2593.25 = 2.59 10³ 2593.25 ft³ X (1.0936 (1m)³ yd)³ X 48 1m³ µg CO X 1 1 10⁻⁶ µg = 3.5 X 10⁻³ g CO 1.53 Select a common unit for comparison, in this case the cm. 1 in ≈ 2.5 cm, 1 m = 100 cm 57 cm = 57 cm 14 in ≈ 35 cm 1.1 m = 110 cm The order of length from shortest to longest is 14-in shoe 2 lb, 1 L ≈ 1 qt 5 lb potatoes troy OZ and $ 100 ft 82 ft X 5x 10⁻⁶ in (2.54)³ 1in³ cm³ = 96.75 = 1x 10² cm³ Au 96.75 cm³ Au X 19.32g X 31.1034768 1 troy OZ g troy $953 OZ = $57,272 = $6 10⁴ (Strictly speaking, the datum 100 ft has 1 sig fig, so the result has 1 sig fig.) 1.56 A wire is a very long, thin cylinder of volume, V = π h, where h is the length of the wire and π is the cross-sectional area of the wire. Strategy: 1) Calculate total volume of copper in cm³ from mass and density 2) h (length in cm) = V 3) Change cm ft 150 lb Cu 453.6g 1lb Cu = 7610.7 = 7.61 10³ cm³ 11