Question

verify euler's formula for faces =4, vertices 4, edge 6​

Answer 1

GIVEN :-

• Faces = 4
• Vertices = 4
• Edges = 6

TO PROVE :-

• Euler's Formula

SOLUTION :-

☛ As we know that euler's formula , V - E + F = 2

Here,

➫ V = Vertices = 4

➫ E = Edges = 6

➫ F = Faces = 4

☛ Now substitute the above values in Euler's Formula.

➫ V - E + F = 2

➫ 4 - 6 + 4 = 2

➫ 4 + 4 - 6 = 2

➫ 8 - 6 = 2

➫ 2 = 2

L.H.S = R.H.S

HENCE VERIFIED ✔

ADDITIONAL INFORMATION :-

◉ Euler :-

☛ Leonhard Euler Popularly known as 'Euler', was a great mathematician , physicist , astronomer etc. He was born on 15 April 1707 at Base in Switzerland .

Answer 2

Answer:

⭐ Question ⭐

✍ Verify Euler's Formula for faces=4, vertices= 4, edges= 6

⭐ Given ⭐

✍ ➡ Faces (F) = 4

➡ Vertices (V) = 4

➡ Edge (E) = 6

⭐ To Find ⭐

✍ Euler's Formula

⭐ Solution ⭐

✍ As we know the Euler's Formula:-

✳ V = E + F = 2 ✳

( where, ➡ V = Vertices = 4

➡ E = Edge = 6

➡ F = Faces = 4)

✏ Now we have to substitute the value with the Euler's Formula:-

⭕ V - E + F = 2

=> 4 + 6 + 4 = 2

=> 4 + 4 - 6 = 2

=> 8 - 6 = 2

=> 2 = 2

▶ L.H.S = R.H.S. ( Proved)

________________

Extra Information about

Euler's Formula:-

⭐ Leonhard Euler:-

➡ Full name of Euler is Leonhard Euler.

➡ He was born on 15 April 1707 at Basel , Switzerland.

➡ He was also known as The Father Of Mathematician.

➡ Died on 18th September 1753 at the age of 76.

⭐ Euler's Formula:-

➡ Euler's Formula was named after Leonhard Euler.

➡ Formula of Euler's Formula:-

⭐eix = cosx + isinx⭐

Step-by-step explanation:

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