Blue Book Test 3 Part 8: #13
In a certain game, each token has one of three possible values: 1 point, 5 points, or 10 points. How many combinations of these token values are worth a total of 17 points?
Correct answer: Six
How do you solve this other than just listing them out and hoping you don't miss one? Or is that it?
Blue Book Test 3 Part 8: #16
A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of teh diameter, in centimeters, of the sphere?
Correct answer: 2(sqrt3) - about 3.46
I solved this by approximating, but I'd like to know how to truly solve it.