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

What is the mode? I can only pick one answer, but there are 3 answers that have a number that occurs the most. PLEASE explain how you got your answer. Look at t
How many ways can six kids line up in a single row to have their picture taken?
Mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Who was the artist to not have an ear but died already
In deep space there is very little friction once they are launched into a probe into deep space where there are no external forces acting on it scientists shut
Factories cut back on jobs when soldiers came back from world war 1 true or false 1
what group was taxed by the king of england before the magna carta
the work spartan has come to mean what
Find the greatest common monomial factor : 4a^5b^2 and ab
Early poets used which poetic techniques to make poems easier to remember?