Chapter 8.3, Problem 7CYU

To determine

To determine if the rolled art fit through the opening of the mailer.

Answer to Problem 7CYU

It won’t fit the opening in the mailer.

Explanation of Solution

Given information :

Diameter of the roll is $3\frac{1}{4}$ in.

First we shall find the incircle radius of the equilateral triangle of the prism. (incircle is a circle that touches all the sides of the tringle internally)

Radius of Incircle of an equilateral triangle is $\frac{1}{3}$ of the altitude of the equilateral triangle.

Hence the radius of incircle becomes $\frac{2\sqrt{3}}{3}\approx 1.15$ in.

Radius of the roll is $\frac{13}{8}\approx 1.62$ in.

Hence it won’t fit the opening in the mailer.