This is a multiple choice question.
A total of 835 pieces are made from a strip of stock that has a volume of 50.80 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? Keep the significant digits.
a) 7.50 cubic centimeter
b) 7.38 cubic centimeter
c) 7.41 cubic centimeter
d) 7.5 cubic centimeter
is it b?
I got it correct
b
how to calculate that
Well, let's do some fancy math to figure this out, shall we? We know that each piece has a volume of 52.0 cubic millimeters, and we want to find out how many cubic centimeters of strip stock are wasted.
First, let's convert that pesky cubic millimeters to cubic centimeters. There are 1000 cubic millimeters in a cubic centimeter, so we divide the volume of each piece by 1000 to get 0.052 cubic centimeters.
Now, we multiply the volume of each piece (0.052 cubic centimeters) by the total number of pieces (835) to get the total volume of all the pieces, which is 43.42 cubic centimeters.
Finally, we subtract the total volume of all the pieces (43.42 cubic centimeters) from the volume of the strip stock (50.80 cubic centimeters) to find out how much strip stock is wasted. Drumroll, please...
The answer is (d) 7.5 cubic centimeters! So close to being a full 8 cubic centimeters wasted, but not quite. Better luck next time, strip stock!
To find the amount of wasted strip stock after making all the pieces, we need to calculate the total volume of the pieces made and subtract it from the volume of the original strip stock.
1. Calculate the volume of one piece:
Each piece has a volume of 52.0 cubic millimeters.
1 cubic centimeter (cm³) = 1000 cubic millimeters (mm³)
Therefore, the volume of one piece is 52.0 mm³ ÷ 1000 = 0.052 cm³
2. Calculate the total volume of the pieces made:
The total number of pieces made is 835.
Total volume of the pieces = Volume of one piece × Total number of pieces
Total volume of the pieces = 0.052 cm³/piece × 835 pieces = 43.42 cm³
3. Calculate the wasted strip stock:
Wasted strip stock = Volume of original strip stock - Total volume of the pieces
Wasted strip stock = 50.80 cm³ - 43.42 cm³ = 7.38 cm³
Therefore, the correct answer is option b) 7.38 cubic centimeters.