what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters ​

Answers

Answer 1

Answer:

We conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Step-by-step explanation:

Given

The length of one of the side or edge of a regular octahedron = a = 4 cm

To determine

The volume of a regular octahedron = V

Using the formula to determine the volume of a regular octahedron

[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]

substituting a = 4 in the volume equation

[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]

[tex]V=\frac{64\sqrt{2}}{3}[/tex]         ∵ 4³ = 64

[tex]\:\:V\:\approx \:30.17[/tex] cm

Therefore, we conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Related Questions

are all equilateral triangles acute?

Answers

Answer:

Yes, all equilateral triangles are acute.

Step-by-step explanation:

yea

hope this helps :)))

Please help due soon!

Answers

H = 2sqrt2
D = 6sqrt3

In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.

In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3

Kathy has $50 in her bank account right now. After three
days she had $35 left. What is her rate of change per day?
Think about if she is making or spending money. Just write
the number.

Answers

Answer:

$5

Step-by-step explanation:

Please help me with this question I need the answer

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

Use the diagram below to answer the question. There is a small building that is 24 feet tallThe fire fighter is standing 7 feet away from the building.

Answers

Answer:

24- 7 = 17

Step-by-step explanation:


What is the value of x?
A. 20
B. 30
C. 45
D. 60
E. 90

Answers

C.45, a triangle has a total of 180 degrees. Since we know that there is a right angle of 90 degrees, we know that the rest of the two angles must also add up to 90. And since the last two angles are the same angle, what two same numbers add up to 90? 45

The sum of all the angles in a triangle is equal to 180°

Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.

now from the diagram: 90° + 2x° = 180°

Therefore x = 45

Pls help I need this done soon and I suck at math

Answers

Answer: 4.5

Hope this helps :)

pls :,) i suck at math

Answers

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Answer:

a i think

Step-by-step explanation:

A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3

Answers

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

Length l = 4 mWidth w = 5 mHeight h = 7 m

To Determine:

The volume of rectangular prism = V

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20​

Answers

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.

Answers

900 x .47 = 423 girls
The answer is 423

Because 900 divided by 100 is 9 and 9 times 47 is 423

Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.

Answers

Answer:

The equation of a line:

x = 3

The graph of the line is attached below.

Step-by-step explanation:

Given the points

(3, -4)(3, -1)

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

For a vertical line, the value of x  is the same for each and every value of  y.

Thus, the equation of a line:

x = 3

The graph of the line is attached below.

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Is 9.78778777... a rational or irrational number?

Answers

The answer is - Irrational

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

What are rational and irrational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

#SPJ2

Which of the following is most likely the next step in the series? O B. On # on # OCH oath​

Answers

Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

Find the inequality represented by the graph - khan academy
PLEASE HELP

Answers

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y x - 1.

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

How many solutions does 46x– 23 = 46x + 23 have

Answers

Answer:

no solution

Step-by-step explanation:

Let's first try to solve this.

Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:

-23 = 23

Well... this is a false statement: -23 does not equal 23.

Thus, this as no solution.

Answer:

No solutions found

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

46*x - 23 - (46*x + 23) = 0

Equations that are never true

Solve : -46  =  0

This equation has no solution.

A non-zero constant never equals zero.


PLS HELP TON OF POINTS AND BRAINLIEST

Answers

Answer:

sss axiom

Step-by-step explanation:

Answer:

wa pow

Step-by-step explanation:


A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair

Answers

Answer: The price of desk is 15 and the price of the chairs 5

Step-by-step explanation:

Write a linear function f with f(0)=3 and f(−6)=3.

f(x)=

Answers

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Help look at picture attached I will mark brainliest

Answers

Answer:

angle 3=145

Step-by-step explanation:

1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35

if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

I need help with number 20 please help!!!

Answers

It can possibly be 20/1

Which function represents the sequence -5.5, -4.75 -4,-3.25... ?​

Answers

The answer I think should be
C main

Which statement best represents the distance on a number line between -14 and -5?

Answers

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

The slope of a vertical line is:

Answers

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

what is the answer?​

Answers

Answer:

A S A

Step-by-step explanation:

In ΔACE & ΔBCD,

   ∠A ≅ ∠B      {Given}     Angle

  AC = BC           {Given}    Side

  ∠ACE = BCD    { Reflexive property} Angle

ΔACE ≅ ΔBCD      ------>A S A Property

Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answers

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

exposed clout chaser

Answers

That’s interesting I would say
I’ve seen a few of these.
Other Questions
Help, please. My assignment is past due so pls hurry. Which value of x makes the equation x + 7 = 21 true?O A. 7O B. 14O c. 21OD. 28 Who of the following did NOT support the ideals of the Revolution A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons ofwater, and after one hour ( t=1) , it holds 180 gallon of water. Napoleons French empire was the greatest empire since the ... empire Is it the British Empire?Or the Roman Empire ? thanks ! What are the articles of confederation learning about the holocaust Number 1-4 plsssss Silicon Valley in the San Francisco Bay Area is often called the tech center of the world. The region gets its name from the silicon used in computer chips that were widely manufactured there. Today, this region houses many of the largest computer hardware, software, internet, and digital communication companies in the world. Identify and explain two ways in which an earthquake in this area could affect people in other parts of the world. Dan, Richard and Nick share 70 in a ratio 1:3:1. How much money does each person get?Dan: Richard: Nick: how does gawain show loyalty to the king in sir gawain and the green knight?? can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too) Why were forests considered dangerous places? Give two details.English language 4. The perimeters of the rectangle and the triangle below are equal. Find the value of x. Kiesha and her classmates wrote proportions for the reduction of a triangle.A larger and smaller triangle have corresponding heights and bases.Which proportions are set up correctly? Select three options.StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFractionStartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFractionStartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFractionStartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFractionStartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction Robert bough 3/4 pound of grapes and divided them into 6 equal portions.What is the weight of each portion?* What does gassin could u explain it Use ur own words Loyalty to a political cause or party is known as partisanship A rectangular based prism has a length of23cm, a width of 28cm, and a height of 11m.Find its volume. Help????? Pls????????? triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?