Math CentralQuandaries & Queries


Question from kenneth:

I have 2 questions.What is the radius of the largest ball that will fit into a box that has the inside dimensions of 6feet by 8 feet by 10feet. and the second question is how many cubic feet of concrete will you need to complete a patio that is 20 feet long by 15 feet wide by 5 inches in height.

Hi Kenneth,

The diameter of the ball can't be larger than the smallest of the 3 dimensions of the box or it won't fit.

The volume of concrete in cubic feet is the length times the width times the height where all the dimensions are in feet. Hence you need to convert the height to feet before making the calculation.


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