Math Is Fun Forum

denis_gylaev

Member

Registered: 2015-03-19

Posts: 66

Word Problem

James caught Michael shaving his miniature yak. Half of the yak was already bald. The yak had a cubical head with side length 10 inches, a rectangular prism body with edge lengths 10, 12, and 18, with one of the 10X18 side completely covering one side of the head. The four legs were cylinders with one base completely attached to the underside of the body and a radius of 1 inch. its tail is a cone with its base covering as much of the yak's rear as possible without going out of the yak's rear's boundaries. The yak has a height of 23 inches, measuring from the shoulder, and a body length (from front to tip of tail) of 33 inches. How much square inches of the yak is shaved? Answer in terms of pi.

Last edited by denis_gylaev (2016-01-09 14:31:50)

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Word Problem

Hello;

I have made an attempt! The result might be slightly too ugly to be correct, but even if it is not, I enjoyed the problem.

The only disclaimer is that we are not told explicitly which side lengths of the body are the width, height and length; but from plain common sense, and also from the face that would include the head, hopefully we may deduce it and my logic is correct.

Last edited by Relentless (2016-01-09 18:57:29)