Verify Euler’s formula for the following solids and draw their nets.

1.	Verify Euler’s formula for the following solids and draw their nets.(i) Regular tetrahedron. (ii) Octahedron prism.
Answer» ANSWER: Euler's formula for solids ⇒ Faces+ Vertices− Edges =2 The given SOLID in the IMAGE is a Cuboid ∴ Faces of the cuboid =6 Vertices=8 Edges =12 putting these VALUES in Euler's formula ⇒6+8−12=2 Hence, Verified.

Verify Euler’s formula for the following solids and draw their nets.(i) Regular tetrahedron. (ii) Octahedron prism.

Answer»

ANSWER:

Euler's formula for solids ⇒ Faces+ Vertices− Edges =2

The given SOLID in the IMAGE is a Cuboid

∴ Faces of the cuboid =6

Vertices=8

Edges =12

putting these VALUES in Euler's formula ⇒6+8−12=2

Hence, Verified.

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Verify Euler’s formula for the following solids and draw their nets.(i) Regular tetrahedron. (ii) Octahedron prism.​

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Verify Euler’s formula for the following solids and draw their nets.(i) Regular tetrahedron. (ii) Octahedron prism.