One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer 1

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500


Related Questions

Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?

Answers

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.

Hi! Solve for x and y.

Answers

Answer: 14x -8= -112

Step-by-step explanation:

brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction


PLEASE HELP please?

Answers

Answer:

28/100

Step-by-step explanation:

There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

Answers

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

i just did it on Edg. i hope this was helpful

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

Liam scored 2 goals out of 5 tries. What percent
did he score?

Answers

Answer:

40%

Step-by-step explanation:

because im just built different

Please help .........

Answers

Answer:

Step-by-step explanation:

1. ST > MN (ST is NOT congruent to MN)

2. BA > BC (not congruent)

3. m∠L < m∠P and m∠T < m∠R

4. m∠A < m∠B and m∠C

   m∠D and m∠E > m∠F

I am not sure what the questions are yet hope it helps

solve this equation 3x + 5 = 7x – 7

Answers

Add 7 to both sides
3x + 12 = 7x
Subtract 3x
12 = 4x
Divide by 4
x = 3

Answer:

3

To find:

x

Step-by-step explanation:

3x + 5 = 7x – 7

3x - 7x = -7 - 5

-4x = -12

x = -12/-4

x = 3

hope it helps u!

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:

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Sarah said that 26÷8 is the same as/equal to 14÷4 and the answers are "3r2". What did Sarah do wrong? 5th grade math help fir my daughter. I think Sarah meant: 26÷8 is the same as or equal to 13÷4 instead of 14÷4 which is what she did wrong?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?​

Answers

so you do 5 1/4 minus 3/4 and then you get your awnser

In what ways do you follow a healthy diet?

Answers

By eating healthy and constantly working out

Choose the correct solution for this equation X/2-12 = 24

Answers

Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

What is the slope of the line?​

Answers

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Pls help me on this

Answers

Answer:

1753

Step-by-step explanation:

What is the image point of (-8, 7) after a translation right 5 units and up 5 units?

Answers

Answer:

(-3,12)

Step-by-step explanation:

3 + 0.1 + 0.006 in a decimal and in word form plz help​

Answers

Answer:

decimal form: 3.106

word form:   3 and one hundred and 6 thousandths

Step-by-step explanation:

Answer:

Decimal form:

3.106

Word form:

Three and one hundred six thousandths.

Step-by-step explanation:

The product of a number below - 7/10 is 2/10
what is the number?
-7/20
7/20
- 5/7
5/7

Answers

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

This question can be written algebraically as [tex]-\frac{7}{10} x=\frac{1}{2}[/tex]

And the image below shows step-by-step on how to solve it

Hope this helps! :)

Can u guys PLEASE ANSWER this question 2 ASAP

Answers

Answer:

23.1

Step-by-step explanation:

The radius of the cone is

32÷2

16

So the equation is

s²=r²+h²

h²=s²-r²

h=√s²-r²

h=√28.1²-16²

h=√789.61-256

h=√533.61

h=23.1

-2.5f + 0.2f - 13 - 8

Answers

Answer:

2.3f - 21

Step-by-step explanation:

What is the answer to -6a(2b + 5c) In distributive Property?

Answers

Answer:

-12ab-30ac

Step-by-step explanation:

A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.

Answers

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

Write the equation for each graph below.

Answers

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

The cost of producing a smartphone is $42.73 per phone. Additionally, the smartphone company pays a flat rate of $175 to ship each store's order. Write an equation to model the costs for the smartphone company, y, to produce x number of smartphones and ship them to one store. help please ​

Answers

Answer:

42.37x+175 good luck on this

Is the relation a function?

Answers

no the line is going side ways, it has to be up and down! or straight across!

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

Consider the conditional statement:
"If the store has the Playstation 5 in stock, then I will buy one."
What is the conclusion of the statement?

Answers

Answer:

he's getting the ps5

Step-by-step explanation:

In conclusion if the store has the ps5 he's getting it and if not he wont

Find the distance, midpoint, and slope of line AB (-2,-1) and B(6,3)

Answers

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

Learn more about  distance, midpoint, and slope here:

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Please help me with this I’ll give you brainliest points and likes

Answers

Answer:

help with what

Step-by-step explanation:

plzzz help me with this ​

Answers

Answer:

Please find attached the required flow chart proof created using Microsoft Visio

Step-by-step explanation:

The given parameters are;

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement                [tex]{}[/tex]            Reason

[tex]\overline {BD}[/tex] bisects ∠ADC    [tex]{}[/tex]           Given

∠ADB ≅ ∠CDB    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] bisects ∠ABC    [tex]{}[/tex]           Given

∠ABD ≅ ∠CBD    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex]            [tex]{}[/tex]                Reflexive Property

ΔABD ≅ ΔCDB    [tex]{}[/tex]                ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?​

Answers

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

The length of FH is 38.

The calculation is as follows:

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x = 5

Here EG is 5x-6

and FH = 2EG

So,

FH = 2(5x-6)

=  10x - 12

Substitute x = 5

= 10(5) -12

= 50-12

= 38

Learn more: brainly.com/question/17429689

a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game? ​

Answers

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

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