Estimate the number of pennies that would fit in a box one foot across by one foot wide by one foot tall. penny has a diameter of 0.75 inches and a thickness of about 0.06 inches.

The volume of the box is given by:

Where,

w: width of the box

h: height of the box

l: length of the box

Substituting values:

The volume of the box in inches is:

Then, the volume of each penny is:

Where,

r: coin radius

h: coin height

Substituting values:

Then, the number of coins that fit in the box is:

the number of pennies that would fit in the box is:

a - base

b - exponent

so,