Question

PLEASE HELP!!

For the following questions, use Euler's Formula to find the missing number.

1. Faces: 25
Vertices: 17
Edges: ?

43
41
39
40

2. Vertices: 11
Edges: 34
Faces: ?

25
28
26
24

3. Edges: 36
Faces: 22
Vertices ?

19
15
16
17

Answer 1

1. use Euler's formula to find the missing number f=25 vertices=17 Edges=?

40

2. Mario's company makes gemstones Faces=12 vertices=? edges=20

10 vertices

3. Pierre built the model shown in the diagram for a social studies project

pentagon

4. A jewelry store buys small boxes find the surface area of the box to the nearest whole number

266 cm^2

5. Find the lateral area of the prism below Round your answer to the nearest whole number

322 m^2

6. Find the surface area of the cylinder in terms of pi

350pi cm^2

7. Allison is planning to cover the lateral surface of a large cylindrical can diameter 3 feet height 3.5 feet

33. ft^2

8. Find the surface area of the regular pyramid shown to the nearest whole number

740 m^2

9. is the figure below drawn in one point or 2 point perspective

Answer 2

see explanation

Explanation:

Using Euler's formula for Polyhedra, that is

F + V - E = 2

where F is faces, V is vertices and E is edges

1

Rearrange formula for E

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract 2 from both sides )

E = F + V - 2

= 25 + 17 - 2 = 40

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2

Rearrange formula for F

F + V - E = 2 ( add E to both sides )

F + V = 2 + E ( subtract V from both sides ) F = 2 + E - V, so

F = 2 + 34 - 11 = 25

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3

Rearrange formula for V

F + V - E = 2 ( add E and subtract F from both sides )

V = 2 + E - F

= 2 + 36 - 22 = 16