## 11 Review Problem - Cutting the strongest square timber

**Problem 11**

Find the waste in cutting the strongest square timber from a circular log of uniform diameter 2 ft. and length 8 ft.

38 Review Problem - Circular log with non-uniform cross-section

**Problem 38**

A log 18 ft. long is 2 ft. in diameter at the top end and 3 ft. in diameter at the butt end.

- How many cubic feet of wood does the log contain?
- How many cubic feet are there in the largest piece of timber of square cross section that can be cut from the log?
- How many cubic feet are in the largest piece of square timber of the same size throughout its whole length?
- How many board feet does the piece of timber in (c), a board foot being equivalent to a board 1 ft. square and 1 in. thick?

**Problem 11**

Find the waste in cutting the strongest square timber from a circular log of uniform diameter 2 ft. and length 8 ft.