Gujarat BoardEnglish MediumSTD 8MATHSVisualising Solid Shapes1 Mark
Question
A polyhedron can have $10$ faces, $20$ edges and $15$ vertices.
✓
Answer
We know that, Euler's formula satisfies for every polyhedron.
i.e. $F + V - E = 2$
Here, $F = 10, E = 20$
$V = 15$
On putting thes values in the Euler's formula, we get.
$10 + 15 - 20 = 2$
$\Rightarrow 25 - 20 = 2$
$\Rightarrow5\neq2$
Hence, the given values does not satisfy the Euler's formula.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.