A total of 835 pieces are made from a strip of stock that has a volume of 50.8 cubic centimeters. Each piece has a volume of 52.0 cubic millimeters. How many cubic centimeters of strip stock are wasted after all the pieces are made? (round to three significant digits)

Answer 1

First, let's find the total volume of all the pieces by multiplying the volume of one piece by the number of pieces: 835 pieces * 52.0 cubic millimeters/piece = 43420 cubic millimeters
Then we'll convert the volume of the pieces to cubic centimeters by dividing by the number of cubic millrimeters per cubic centimeter: 43420 cubic millimeters / 1000 cubic millimeters/cubic centimeter = <<43420/1000=43.42>>43.42 cubic centimeters
Then we'll subtract that volume from the total volume of the stock to find the wasted volume: 50.8 cubic centimeters - 43.42 cubic centimeters = <<50.8-43.42=7.38>>7.38 cubic centimeters. Answer: \boxed{7.38}.