The rectangular prism and rectangular pyramid below have the same volume. Determine the value of x, the length of the prism.

The Rectangular Prism And Rectangular Pyramid Below Have The Same Volume. Determine The Value Of X, The

Answers

Answer 1

ANSWER

[tex]x[/tex]= 9 [tex]in[/tex]

EXPLANATION

The volume of a rectangular prism is given by the formula,

[tex]V[/tex]= [tex]l[/tex] x [tex]b[/tex] x [tex]h[/tex]

We substitute the dimensions to obtain,

[tex]V[/tex]= 6 x 3 x 12 [tex]in^{3}[/tex]

The volume of the rectangular pyramid is,

[tex]V[/tex]= [tex]\frac{1}{3}[/tex] x 6 x 12 x [tex]x[/tex] [tex]in^{3}[/tex]

Equating the two values gives,

[tex]\frac{1}{3}[/tex] x 6 x 12 x [tex]x[/tex] = 6 x 3 x 12

We divide through by 6×12 to get,

[tex]\frac{x}{3}[/tex] = 3

We solve for x to obtain,

[tex]x[/tex] = 3 x 3

[tex]x[/tex] = 9 [tex]in[/tex]

Hope this helps! Happy Monday!

Answer 2
The answer is....... X=9in

Related Questions

What is the bottom and what is the frequency??? Please do this asap

Answers

Answer:

Im sorry im confusded

Step-by-step explanation:

What is the best way of choosing a sample to statistically represent a population? Why? What is a biased sample? How can biased sampling affect the statistical study of a population?

Search the Internet and give two or more real-world examples of biased sampling leading to unexpected or unfavorable outcomes. In each case, how could the sample have been improved to make a more accurate inference about the population?

Answers

Answer: In random sampling, the whole population should have an equal chance of being chosen.

Step-by-step explanation:

In a simple random sample, every member of the population has an equal chance of being selected.

Your sampling frame should include the whole population. To conduct this type of sampling, you can use tools like random number generators or other techniques that are based entirely on chance.

Biased sample

A sample is biased if individuals or groups from the population are not represented in the sample.

In statistics, sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others.

Affects

It affects the internal validity of an analysis by leading to inaccurate estimation of relationships between variables. It also can affect the external validity of an analysis because the results from a biased sample may not generalize to the population.

Sampling is one of the procedure to get information about population. The best way to choose a sample representing a population is simple random sampling.

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

What is simple random sampling?

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

What is stratified sampling?

Sampling which is done by taking the main population divided in categories(called strata), then such sampling from stratas (sub-parts of the population) is called stratified sampling.

What is systematic random sampling?

In this type of sampling, starting of the sampling is done randomly, but then rest of the samples are collected by an order. Like for example, first point is selected randomly, then all points are selected that they are equidistant from each other in the population.

What is convenience sampling?

The word "convenience" summarizes this sampling. It is done in a way that those values from population are sampled which are in convenience with the researcher. Like if some random picking is to be done from beads spread on the ground, then the researcher picking those beads which are closer to him.

Convenience sampling and stratified sampling are biased, as convenience sampling is leaving a good amount of population untouched, and stratified sampling is taking about sub-parts of the population.

The systematic random sampling is not good in those cases where population doesn't contain variation equally, and we might end up doing systematic sampling in that region which is biased than other regions.

The best sampling is simple random sampling, as it is randomly picking data values from the population, so is most probable to get the properties of the population(the more you're lost, the more probable you're to get to new paths). If sample size is large enough, this sampling comes out as best sampling method, in context of summarizing the information of the population, as almost all of the properties of the population is covered by values obtained during simple random sampling.

Thus, the best way to choose a sample representing a population is simple random sampling. (assuming that we want to summarize the population).

Learn more about simple random sampling here:

https://brainly.com/question/25644040

⚠️MATH QUESTION⚠️ Angle Similarity

Answers

Answer:

5 in.

Step-by-step explanation:

If you can see, Triangle ABE has the side with 10 in. and 25 in. on the other side and Triangle FCD has one side with 15 inches, so the bottom one should be 5 in. because decreasing size.

I’m not very sure but I’m pretty sure it’s 5

What is the surface area?
26 cm
26 cm
24 cm
28 cm
20 cm
? square centimeters

Answers

24 try this one if it’s work

Pepino’s pizza charges $8 for medium pizza plus $2 for each topping. How many toppings are on a medium pizza that costs $20?

Answers

Answer:

6 toppings

Step-by-step explanation:

Find how much the toppings cost in total without the medium pizza.

20 - 8 = 12

12 ÷ 2 = 6 toppings

There would be 6 toppings on the medium pizza.

$7,000 is invested at a rate of 3% compounded quarterly. Find the balance after 10 years.
Write a compound interest equation to model the situation. Then find the balance.

Answers

Answer:

The standard compound interest formula is  where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

So,

1)  

2)  

3)  

Step-by-step explanation:

how do i find text structure?

Answers

Most definitely do not use that link

Answer:Examples of text structures include: sequence/process, description, time order/chronology, proposition/support, compare/contrast, problem/solution, cause/effect, inductive/deductive, and investigation.

Can I get some help with this one? please? (UwU)

Answers

Answer:

L to G

d

e

b

c

a

Step-by-step explanation:

Hope this helps :)

D
E
B
C
A

Hope this helps this is least to greatest btw

Can you please help me answer this question and explain how you figured it out.

Answers

40% would transfer into the decimal value of .40 so all you have to do is multiply .4 x 75 that’s going to give you the answer. It would be 30

Lake City uses a cone-shaped building to store the salt they spread on their roads during winter. Each storage building has a radius of 39 feet and a height of 48 feet.

Using 3.14 for , approximately how much salt can each storage building hold?
A. 76,415.04 cubic feet

B. 229,245.12 cubic feet

C. 5,878.08 cubic feet

D. 94,049.28 cubic feet

Answers

Answer:

I believe that the answer is A. 76,415.04 cubic feet

Step-by-step explanation:

I used a formula I found online

Hope this helps

can u plz help me in this plz?

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There isn’t a picture what do you need help with

Here you go amiragumbs2

Answers

umm , what is this for? do you need help on anything or? lol

If you took 40% of $300, would you get the same result in the previous slide? Show your work to explain yourself.

Answers

Answer:

Step-by-step explanation:

40% of $300 would be 0.40($300) = $120.  Given a percentage, convert it to a decimal fraction:  40% => 0.40

40% of 300 is 120. 40% x 300=120

Solving two-step equations (4 questions)
1.) What is m/3(fraction) - 7 = 1?
2.) What is k/-5(fraction) + 8 = 10?
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4.) What is p/4(fraction) + 1 = -2?
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Answers

2 is the correct answer

Ethan has a rectangular sandbox with a side length of 12 inches, a width of 8 inches, and height of 1012 inches.

What is the capacity of the sandbox when it is 13 full?
Group of answer choices

336 in3

672 in3

1008 in3

1512 in3

Answers

The volume of the sandbox is 1008 in3. 12 in*8 in* 10 1/2 in=1008 in3

;)
The sandbox is 1808 I took the text

Find the area of a trapezoid with bases of 8 and 16 and a height of 10. Type a numerical answer in the space provided. Do not include units or spaces in your answer.

Answers

Answer:

A=120

Step-by-step explanation:

I havent had to do this in a while but i hope this is correct

Answer:

120

Step-by-step explanation:

hope this helps

brainliest pls

Cecilia brought of a pound of shredded newspaper and Juan brought of a pound of shredded newspaper to art class for a paper mâché project. They combined the shredded newspaper and divided it equally among 5 people at their table. How much shredded newspaper did each person at the table receive? The answer choose are in the pic.0

Answers

Answer:

1/5

Step-by-step explanation:

Answer: D. 1/5 of a pound

Step-by-step explanation:

Which cereal box deal has the best price per ounce?


$9.13 for 39 oz

$6.12 for 24 oz

$4.98 for 18 oz

$3.56 for 14 oz

Answers

Answer:

I believe it is A.

i hope this helped

I think it’s A:))))))))

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Answers

Answer
A.3
B.3
C.1/2/3

I just need this question for my class

Answers

Answer:

:) here

Step-by-step explanation:

1) 40

2) 4 x 12=48

3) 3x11=33

1. 5(6 + 2)

= 5(6) + 5(2)

= 30 + 10

= 40

2. 4(7 + 2 + 3)

= 4(7) + 4(2) + 4(3)

= 28 + 8 + 12

= 48

3. 3(7 + 4)

= 3(7) + 3(4)

= 21 + 12

= 33

will give branliest

how do i write 5(7j + 6 + 3j) into a verbal expression?

Answers

I think the answer is “seven j times five plus six times five plus three j times five”


Hope this helps :)
Five times the sum of seven times j, six, and three j

tysm 30 points!! pls answer correctly

Answers

Answer:

The answer is 4 trust me i'm in high school.

Step-by-step explanation:

Plzz mark brainliest

This model of the backboard of a basketball goal is
composed of a rectangle and a semicircle. The diameter of
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Answers

I think it is 128 inches?????
16 times 8 equals 128

PLEASE HELP would ya?

Answers

Answer:

1st, 2nd, and 5th box

Step-by-step explanation:

I can’t see the pic

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Answers

Answer:

it is A

Step-by-step explanation:

Yes I would say a also!!

Seth deposited $40 in a savings account that earns 5% interest each year. How much interest will he earn in 1 year?

Answers

Answer:

$2

Step-by-step explanation:

The formula for simple interest is i = p*r*t, where r is the annual interest rate expressed as a decimal fraction.  Here the principal is $40 and the elapsed time is 1 year.  The amount of interest collectible after 1 year is thus:

i = ($40)(0.05)(1) = $2

Answer:

$2

Step-by-step explanation:

A. 5/8m + 3/4 - 3/8(m + 1) ??

Answers

Answer:

1/4m + 3/8

Step-by-step explanation:

5/8m + 3/4 - 3/8(m + 1)

5/8m + 3/4 - 3/8m -3/8

1/4m + 3/8

1/4m+3/8 is the answer

A restaurant manager uses the expression 7.85m + 8.85d to calculate his profit when he sells m main courses and d desserts. What is the restaurant manager's profit, in dollars, when he sells 45 main courses and 43 desserts?

Answers

Answer:733.8 dollars in profit

Step-by-step explanation:

hope this helps :)

Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $55 and plans to deposit $10 every month. Marlena opened her account with $20 and plans to deposit $15 every month. After how many months will their two accounts have the same amount of money? What will that amount be?

The two accounts will have the same amount of money in BLANK months. And, the amount will be $ BLANK

Answers

Answer: it will take 4 months for the amount to be the same and the amount would be $95

Step-by-step explanation:

Let x represent the number if months it will take for the two accounts have the same amount of money.

Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be

10x + 55

Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be

15x + 35

For the amount in the accounts to be the same, the number of months would be

15x + 35 = 10x + 55

15x - 10x = 55 - 35

5x = 20

x = 20/5

x = 4

The amount would be

15 × 4 + 35

= 60 + 35

= $95

it will take 4 months for the amount to be the same and the amount would be $95

−3√27−2√2−3√45−√18 simplify

Answers

Answer:

Step-by-step explanation:

Prime factorize 27 , 45 and 18

[tex]-3\sqrt{27}-2\sqrt{2}-3\sqrt{45}-\sqrt{18}=-3\sqrt{3*3*3}-2\sqrt{2}-3\sqrt{3*3*5}-\sqrt{3*3*2}\\\\=-3*3\sqrt{3}-2\sqrt{2}-3*3\sqrt{5}-3\sqrt{2}\\\\=-9\sqrt{3}-2\sqrt{2}-9\sqrt{5}-3\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5}-2\sqrt{2}-3\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5} + (-2-3)\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5} - 5\sqrt{2}[/tex]

the answer is -9√3−5√2−9√5.
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