Answer: The maximum length of a toothpick that still fits the box is
Explanation: the longest straight distance within a rectangular box (prism) is its diagonal (in three dimensions), i.e., the path from one corner to its diagonally opposite corner.
The diagonal length in a two-dimensional rectangle can be calculated using the Pythagorean Theorem. There is a three-dimensional analog of that theorem for prisms. Let a,b,c be the sides of the prism. Then the following holds for the diagonal length d:
In order to answer the question we determine the length d:
Answer:
1) 4
2) -11
3) 1
4) -2
Step-by-step explanation:
D is the answer for the problem