Question

Tamika has a hard rubber ball whose circumference measures 13 inches. she wants to box it for a gift but can only find cube-shaped boxes of sides 3 inches, 4 inches, 5 inches, or 6 inches. which of these is the smallest box that the ball will fit into with the top on? 1.

Answer 1

The rubber ball, in this case, can be considered a circle with a circumference of 13 inches. So, we can find the diameter of the rubber ball using the formula $C=\pi d$ or $d=\frac{C}{\pi }$. That is 
    $d=\frac{C}{\pi }=\frac{13\:inches}{\pi }=\frac{13}{\pi }=4.14\:inches$

Therefore, the diameter is greater than 4 inches and less than 5 inches. That means the smallest box that the ball will fit into with the top on is the 5 inches box.