SOLUTION: A log with a circular cross section is 5 meters long and 50 centimeters in diameter at the smaller end. Find the dimensions of the largest piece of timber that can be cut from the

Algebra ->  Volume -> SOLUTION: A log with a circular cross section is 5 meters long and 50 centimeters in diameter at the smaller end. Find the dimensions of the largest piece of timber that can be cut from the       Log On


   



Question 1017593: A log with a circular cross section is 5 meters long and 50 centimeters in diameter at the smaller end. Find the dimensions of the largest piece of timber that can be cut from the log with uniform square cross section
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!

The diagonal of this square is 50cm. You can see its area is 1250 sq cm, as each triangle is 1/2*25*25.
The side of the square is 25* sqrt(2) or 35.36cm, and of course the length is 5 meters.