A property owner on a lake is given an aluminum dock for his property. Unfortunately the dock is too large and heavy to move over land. Instead the owner has this idea (which his family thinks is insane) to move the dock by water. The dock is 20 ft long, 3ft wide, and weighs 500 lbs. The owner decides to float the dock using 50 gallon plastic drums filled with air. (a) How many 50 gallon drums are required to float the dock

Answer:2 drumsStep-by-step explanation:Given:Length of dock = 20 ftWidth of dock = 3 ftweight of dock = 500 lbsVolume of plastic drum  = 50 gallonsalso,1 gallon = 1 gallon = 0.0.0038 m³or50 gallons = 50 × 0.0038 = 0.189 m³Now,The dock will float If the upthrust provided by the barrels is equal to or greater than the weight of the dock i.e the volume of water displaces is equal to volume of the barrel.therefore, mass of the water displaced =  volume of drum × Density of waterormass of the water displaced =  0.189 × 1000 = 189 kgand, 1 kg = 2.20462 lbsthus, 189 kg = 416.67318 lbstherefore, the number of drums required is = [tex]\frac{\textup{500}}{\textup{416.67}}[/tex] orthe number of drums required = 1.199 ≈ 2 drums