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

Compared to the surrounding material, mantle plumes rise toward Earth’s surface from the core-mantle boundary because they are (1) cooler and less dense (3) hot
Find the value of x , if the distance between the points ( x , -1 ) and (3 , 2 ) is 5
subtract and round your answer to the nearest whole number 9-1.004
What does circumnavigate mean?
what is the earliest skill that people developed
Which of the following actions would have negative consequences if you choose to accept a management promotion? a. Be prepared to review the keys to being a goo
A main goal of the monarchs of Europe during the Age of Absolutism was to A) establish legislative bodies B) centralize political power C) improve the quality o
What is the role of turbines and generators in the production of electricity from wind?
The British government tried to stop smuggling with the a. Stamp Act. c. Sugar Act. b. Molasses Act. d. Trade Act.
the transition metal with the smallest atomic mass