live4dramaoy0yf9
live4dramaoy0yf9 live4dramaoy0yf9
  • 02-05-2019
  • Mathematics
contestada

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest tenth. HELP PLEASE!!

Respuesta :

Paounn
Paounn Paounn
  • 02-05-2019

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of [tex] \frac{360} 5 = 72° [/tex]. Each of the other angle is [tex]\frac{180-72} {2} =54°[/tex]. From there, you can calculate the height of each base triangle as in [tex]\frac {h} 7 = tan54[/tex] or 9.634...cm.

Your volume will be [tex]5 * \frac  {(14 * 9.634)} 2 * 12 = 4046.56 cm^3[/tex]

Answer Link

Otras preguntas

Hello, I need help please for mission 3 thank you very much.
Compute the value of the discriminant and give the number of real solutions to the quadratic equation: 3x^2 - 7x + 9 = 0
select the product of (3x-4)(3x4)
india takes the two hour train ride from minneapolis to chicago every dummer to visit her grandparents. The train traveled 44 7/16 (thats a mixed number) mile
where does the shadow of the shuttle in space form?
where does the shadow of the shuttle in space form?
where will you find maximum rate of evaporation - ocean, pond or an aquarium? Give reason to support your answer.
Multiply these fractions (Lowest Terms) a) 2 x 3/4 b) 3 x 3/5 c) 4 x 1/3 d) 6 x 2/5 e) 1/2 x 1/4 f) 4/5 x 2/3 g) 5/6 x 3/4 h ) 1/10 x 2/3 i) 2 1/5 x 1/
Convert the general form of the circle given into standard form. 2x^2 + 2y^2 - 20x - 8y + 50 = 0
List all the commonwealth games mascots from 1982-2014