Glass

How many glass are needed to produce glass with base regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm?

Result

S =  195.685 cm2

Solution:

S1=5 4.2=21 h=10 S1=5/4 a2 tan(54) a=4 S1/5/tan(54rad)=4 S1/5/tan(54 π180 )=4 21/5/tan(54 3.1415926180 )=3.4937 o=5 a=5 3.493717.4685 S=S1+o h=21+17.4685 10195.6848=195.685 cm2S_{ 1 } = 5 \cdot \ 4.2 = 21 \ \\ h = 10 \ \\ S_{ 1 } = 5/4 \ a^2 \ \tan(54^\circ ) \ \\ a = \sqrt{ 4 \cdot \ S_{ 1 }/5 /\tan( 54 ^\circ \rightarrow rad) } = \sqrt{ 4 \cdot \ S_{ 1 }/5 /\tan( 54 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ ) } = \sqrt{ 4 \cdot \ 21/5 /\tan( 54 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ ) } = 3.4937 \ \\ o = 5 \cdot \ a = 5 \cdot \ 3.4937 \doteq 17.4685 \ \\ S = S_{ 1 } + o \cdot \ h = 21 + 17.4685 \cdot \ 10 \doteq 195.6848 = 195.685 \ cm^2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
See also our trigonometric triangle calculator.

Next similar math problems:

  1. Holidays - on pool
    pool_4 Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
  2. Office
    hranol-6u Office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7m. How much CZK cost plastering the walls of the building, if per 1 m square cost CZK 400?
  3. Reflector
    lamp Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
  4. Regular triangular prism
    3b_hranol Calculate the surface area of body of regular triangular prism, when the length of its base edge is 6.5 cm and height 0.2 m.
  5. Hexagon
    hexa_prism Calculate the surface of a regular hexagonal prism whose base edge a = 12cm and side edge b = 3 dm.
  6. High wall
    mur I have a wall 2m high. I need a 15 degree angle (upward) to second wall 4 meters away. How high must the second wall?
  7. Isosceles right triangle
    IsoscelesRightTriangle Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
  8. Regular n-gon
    10gon_polygon In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
  9. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  10. Tree
    strom How tall is the tree that observed in the visual angle of 52°? If I stand 5 m from the tree and eyes are two meters above the ground.
  11. Sss triangle
    8_11_12 Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
  12. Internal angles
    triangle_5 Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at the vertex A.
  13. Triangle 42
    triangle2_4 Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
  14. Maple
    tree_javor Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
  15. Reference angle
    anglemeter Find the reference angle of each angle:
  16. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  17. Surface of the cylinder
    valec_1 Calculate the surface of the cylinder for which the shell area is Spl = 20 cm2 and the height v = 3.5 cm