Consider a package of marbles in the shape of a
triangular prism. The cross-section of the package is
an equilateral triangle with a side length of 1.5 inches,
and the length of the package is 10 inches. What is the
diameter of the largest marble that will fit inside the
package? How many such marbles can fit within the
package?
Start by listing how you plan to tackle the problem.
Then complete the task. Be sure to write down all your
data and assumptions. Then use words, numbers,
diagrams, or algebra to explain how you reached
your conclusion.