How many quarters equal the volume of a piece of paper? A quarter has a diameter of 0.9375 inches, a thickness of 0.0625 inches. The piece of paper is 10.5 by 8(inches), and a thickness of 0.0025.

1 Answer
Feb 9, 2018

4.918 quarters approx.

Explanation:

(Volume of paper / Volume of quarter ) gives the number of quarters.

Volume of paper #V_p = l_p * b_p * h_p = 10.5 * 8 * 0.0025 = 0.21# cu. in.

Volume of quarter #V_q = pi r_q^2 h_q = pi * (0.9375/2)^2 * 0.0625 ~~ 0.0427# cu. in.

No. of quarters = #V_p / V_q = 0.21 / 0.0427 ~~ 4.918