Question
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)
Answers
GPT 3.5
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}.
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}.