# 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.

Feb 9, 2018

4.918 quarters approx.

#### Explanation:

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

Volume of paper ${V}_{p} = {l}_{p} \cdot {b}_{p} \cdot {h}_{p} = 10.5 \cdot 8 \cdot 0.0025 = 0.21$ cu. in.

Volume of quarter ${V}_{q} = \pi {r}_{q}^{2} {h}_{q} = \pi \cdot {\left(\frac{0.9375}{2}\right)}^{2} \cdot 0.0625 \approx 0.0427$ cu. in.

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