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1 Matter and Measurement Solutions to Exercises (d) 1.955 m³ X (1.0936)³yd³ 1m³ = 2.55695 = 2.557 yd³ (e) $3.99 lb X 1kg = 8.798 = $8.80/kg (f) 8.75 ft³ lb X 453.59 1lb X 12³ in³ 2.54³ 1in³ cm³ X 1mL = 0.140g/mL 1.49 (a) 31 gal 4 1.057 1L qt = 1.2 10² L Estimate: (30 4)/1 ≈ 120 L (b) kg 6 (body) mg X 2.205 1kg lb X 185 lb = 5x 10² mg Estimate: 6/2 = 3; 3 180 = 540 mg (c) 400 km 1mi 1L X 4qt = 19.9 mi 47.3L 1.6093 km 1.057 qt gal (2 10¹ mi/gal for 1 sig fig) Estimate: 400/50 = 8; 8/1.6 = 5; 5/1 = 5; 5 X 4 ≈ 20 mi/gal (d) 50 cups X 1qt X 1L 1000 mL X 1lb = 26 mL 1lb 4 cups 1.057 1L 453.6 g g (3 X 10¹ mL/L for 1 sig fig) Estimate: 50/4 = 12; 1000/500 = 2; (12 2)/1 ≈ 24 mL/g 1.50 (a) 1257 mi 1 km X charge = 8.99 charges 0.62137 mi 225 km Since charges are integral events, 9 total charges are required. The trip begins with a full charge, so 8 additional charges during the trip are needed. (b) 1km 1 mi X 60 S X 60 min = 31 mi/hr S 1x 10³ m 1.6093 km 1 min 1hr (c) 450 in 3 (2.54) cm³ 1mL 1mL = 7.37 L (d) 2.4x X 10⁵ barrelsx 1 42 barrel gal 1gal 4 1.057 1L qt = 3.8x10⁷ L 1.51 14.5 ft 16.5 ft X 8.0 ft = 1914 = 1.9 10³ (2 sig figs) 1914 (3ft)³ (1.0936)³ (1m)³ yd³ X 10³ 1m³ dm³ X 1L 1.19g L 1kg = 64.4985 = 64 kg air Estimate: 1900/27 ≈ 60; (60 1)/1 ≈ 60 kg 10