Question

Verify Euler's formula for cuboid.​

Answer 1

By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

Vertices: 8

Edges: 12

Faces: 6 rectangles

Dual polyhedron: Rectangular fusil

Answer 2

Step-by-step explanation:

$Euler's \: formula \: for \:cuboid  ⇒ Faces+ Vertices− Edges =2$

$∴ Faces \: of \: the \: cuboid =6$

$Vertices=8$

$Edges =12$

$putting \: these \: values \: in \: Euler's \: formula  \: ⇒6+8−12 =2$

$\tt {\red \: Hence, Verified.}$