I'm going through an SAT Math Level 1 textbook, by the Princeton Review. In the solid geometry section, there's a question which seems fairly straight-forward, yet after spending quite a while on it, even checking their answer guide, I am unable to grasp the process they've used to come by their answer.
question:
answer:
My answer was 30.12. I used the Pythagorean theorem thrice:
(4^2 + 3^2)^0.5 + (12^2 + 4^2)^0.5 + (3^2 + 12^2)^0.5
I saw the sides of triangle EDB as hypotenuses of each face, so I used the other sides of their corresponding right-angled triangles (the length, width, and height of the solid shape) to find the three sides.
How is this incorrect? And, how did they get a 5-12-13 triangle for BE?
These are the numbers that I got.