Pennsylvania Route 343 highway remained intact for another seven years, and in 1970, PA 343 was realigned for the final time, this time onto its current alignment. The northern terminus is now at a partial interchange with I-78. Pennsylvania Route 343 Pennsylvania Route 343 (PA 343) is an route between Lebanon and Fredericksburg in Lebanon County, Pennsylvania. It begins at PA 72 and ends at Exit 6 of Interstate 78 (I-78). PA 343 heads mostly through urbanized areas near Lebanon before continuing into rural areas further north. There is a concurrency with U.S. Route 22 (US 22) near the northern terminus. PA 343
Doubling the cube at solving what they saw as an obstinate but soluble problem. However, the nonexistence of a solution was finally proven by Pierre Wantzel in 1837. In algebraic terms, doubling a unit cube requires the construction of a line segment of length , where ; in other words, . This is because a cube of side length 1 has a volume of , and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. The impossibility of doubling the cube is therefore equivalent to the statement that is not a constructible