1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amiraneli [1.4K]
2 years ago
6

A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Mathematics
1 answer:
Alexeev081 [22]2 years ago
6 0

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3

You might be interested in
Factorise:a(a-2)-b(b-2)
lapo4ka [179]

Step-by-step explanation:

hope u got it...

thank you

8 0
3 years ago
Read 2 more answers
Write 1/5 as a fraction before it was reduced ​
Tanya [424]
2/10, or 5/25 can i get brainliest
i just multiplied the top n bottom number by the same number
7 0
3 years ago
For each of the following shapes, state whether or not it has rotation symmetry. If it does, draw the rotational
OverLord2011 [107]

It should be noted that the rotation symmetry that an equilateral triangle has is 3.

<h3>What is rotational symmetry?</h3>

It should be noted that rotational symmetry simply means when an object is rotated on its own axis.

In this case, it should be noted that the rotation symmetry that an equilateral triangle has is 3.

Also, the number of degrees that you can rotate the shape to carry it onto itself will be 60°, 120°, and 180°.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

8 0
1 year ago
A share of stock in the bree medical supply company is quoted at 35 1/4,suppose you hold 20 shares of that stock which you bough
kodGreya [7K]
Hi there, we know the total number of stocks bough is 20, the rate was 31 1/2=63/2, 20*63/2=10*63=630 dollars, the rate they were sold is 35 1/4=141/4 dollars, 5*141=705 dollars, the amount of profit is 20 stocks. So, 705-630=75 dollars. So, the answer is C. You made a profit of $75.00
5 0
4 years ago
Read 2 more answers
What is the surface area of the cone? (Use 3.14 for pi .)
forsale [732]

Answer:

794.42 in²  (since I used the pi = 3.14159 , the result is slightly different,

Step-by-step explanation:

Formula: Given radius and slant height calculate the height, volume, lateral surface area and total surface area.  

Given r, s find h, V, L, A

h = √(s² - r²)

r = 11 in

h = 4.796 in

s = 12 in

V = 607.7 in³

L = 414.7 in²

B = 380.1 in²

A = 794.8 in

Agenda: r = radius

h = height

s = slant height

V = volume

L = lateral surface area

B = base surface area  

A = total surface area

π = pi = 3.14159

√ = square root

8 0
4 years ago
Read 2 more answers
Other questions:
  • 3/6 what is the sum in unit fractions
    14·1 answer
  • What’s the difference between linear and non linear functions
    5·1 answer
  • The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. if the court's perimeter is 240 f
    11·1 answer
  • The price of a pair of shoes increase $62 to $66 what is the percent increase to the nearest percent
    14·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    9·2 answers
  • Find the measure of the indicated angle round to the nearest tenth
    12·1 answer
  • Need help please . 20 points please
    14·1 answer
  • Write an equation and find the missing angle.
    8·1 answer
  • -x/6 + 6 = 32<br><br> Please help me! Thank you
    13·2 answers
  • When completing a dilation, how do the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!