Question

use euler’s formula to find the missing number. faces: 6 edges: 12 vertices: _ a. 7 b. 9 c. 10 d. 8

Explanation:

Step1: Recall Euler's formula

For convex polyhedra: $V - E + F = 2$

Step2: Substitute known values

$V - 12 + 6 = 2$

Step3: Solve for V

$V - 6 = 2 \implies V = 8$

Answer:

D. 8