A cube with volume 8 $\text{cm}^3$ is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube? express your answer in simplest radical form.

Answers

Answer 1

The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]

The diagram of the cube and the cutting plane is shown in the figure.

Since the cube has a volume of [tex]8cm^3[/tex], the sides are [tex]2cm[/tex] each.

From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by

[tex]A_R=\text{side of cube}\times \text{diagonal}=2d[/tex]

and, using Pythagoras' theorem,

[tex]d=\sqrt{2^2+2^2}\\d=\sqrt{8}=2\sqrt{2}\text{ cm}[/tex]

Substituting the value of [tex]d[/tex] into the formula for [tex]A_R[/tex]

[tex]A_R=2\times d\\=2\times 2\sqrt{2}\\=4\sqrt{2}[/tex]

The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]

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A Cube With Volume 8 $\text{cm}^3$ Is Cut In Half By A Plane Which Contains Two Edges Of The Cube. What
Answer 2

Answer:

4 square root of 2cm

Explanation:

cool stuff


Related Questions

Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.

Answers

Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.

In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.

For feedbacks, many types of responses can be given. One of which is giving a listening response.

Types of listening responses include:

EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.

Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.

Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.

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My mom/suggested/keep the surroundings/clean and green.

Answers

Considering the incomplete sentence in the question, to make the sentence complete, we have "My mom suggested to keep the surroundings clean and green."

The word "to" is a preposition. It is used to express a situation approaching a specific condition.

Here, the preposition "to" is used to describe the condition in which the surroundings must reach.

The word "to" can also serve as an adverb or incentive marker.

Hence, in this case, it is concluded that the complete and correct sentence is "My mom suggested to keep the surroundings clean and green."

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You can have ice cream you finish your dinner.

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"You can have ice cream while you finish your dinner" does not make sense in context, as ice cream is usually reserved for dessert.

4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.

Answers

Answer:

T-Shirt Cost = £7

Hat Cost = £3

Explanation:

Important Information:

4 t-shirts and a hat costs £31.00

2 t-shirts and a hat costs £17.00.

Here we assume t-shirt be x and hat be y.

Explanation/Solution:

Based on the above information, the calculation is as follows:

4x + y = 31

2x + y = 17

Now subtract equation 2 from 1

2x = 14

x = 7

So y is

4(7) + y = 31

28 + y = 31

y = 3

Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.

Points b c and d lie on a straight line.

Answers

Answer:

Explanation:

continuation?

Four companies have each issued $6 million in bonds. Which company will have the lowest balance in a contra account, without having a zero balance, assuming this is the first bond issuance for all four companies?.

Answers

The company that will have the lowest balance in a contra account is company-2 , which sold bonds at 94%

Bonds are being usually sold at par, at a discount, or at a premium. There exists no notion of a contra asset if the bonds are sold at par. If the bonds are sold at a discount, the net cash received will be lesser than the amount of par value of the bonds issued. Under this scenario, the bonds payable account can only display the par value of the bonds issued, however, the difference among both the par value of the bonds as well as the net cash actually realized from this kind of bond issue will be parked in a contra account which will be amortized over the bond's tenure.

As such, the lowest balance in the contra account for the four companies can be computed as:

                             company4      company3      company2      company1

Bond par value   $6,000,000   $6,000,000   $6,000,000   $6,000,000

Issued at               105%               101%               94%                  99%

Net cash -          6300000        6060000        5640000        5940000

realized

Contra

account           3000000         60000          (-360000)          -60000

balance

Therefore, it is obvious that the company with the lowest balance in a contra account is company 2, which sold their bonds at 94%

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In the diagram, ce=12 units and be=5 units. Based on the given information, what is ae? 2 units 7 units 12 units 17 units.

Answers

Answer:

C. 12 units.

Right on edge

In the diagram, ce=12 units and be=5 units. Based on the given information. So, the answer will be 7 units. Thus, option B is correct.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

⇒ CE = 12 units

⇒ BE = 5 units

Now,

Since, Triangle CBE is an right triangle.

And, We have;

⇒ CB = AB

⇒ ∠DBC = 90°

⇒ ∠ABE  = ∠DBC = 90° (opposite angles formed by the intersection of  AC and DE.)

As, ∠CBE and  ∠ABE are supplementary angles and form a straight line.

So, We get;

⇒ ∠CBE + ∠ABE =180°

⇒∠CBE =  180° - ∠ABE  

           = 180°- 90°

           = 90°

And, Between triangle ΔCBE  & ΔABE;

⇒ ∠CBE = ∠ABE = 90°

⇒ CB = AB (given)

⇒ BE = BE  (common side)

Hence, The triangles Δ CBE  & ΔABE are congruent.

⇒ Δ CBE  ≅ ΔABE( by S-A-S Congruency)

⇒ CE = AE ( as triangle Δ CBE  & ΔABE are congruent then the sides are same.)

⇒  AE = 12 units

Thus, The length of AE = 12 units

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A student who willl be the first in his or her familt to attend college is a ___ student

Answers

Answer:

“First-Generation Student”

Which one of the following reactions would produce the largest amount of heat per mole of hydrogen?.

Answers

Answer:

your answer link in photo

Which of the following is not a possible tax or deduction that could be withdrawn from your paycheck?.

Answers

Government often collect taxes from its people in different ways. Sales tax is not a possible tax or deduction that could be withdrawn from your paycheck.

Sales tax often regarded as consumption tax. It ia usually imposed by the government only on the sale of goods and services and not from paycheck.

It is known to be imposed at the point of sale. It is taken by the retailer, and thereafter given to the government.

Conventional or retail sales taxes is simply charged only to the consumer or end user of a good or service.

The full question below

Which of the following is NOT a possible tax or deduction that could show up on your paycheck?

State income tax

Contributions to retirement savings

FICA

Sales tax

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Which is a solution to the equation? (x −2)(x 5) = 18 x = −10 x = −7 x = −4 x = −2.

Answers

(x−2) (x⋅5) = 18 = x=5 + √1155,5 − √1155

x=−7==−7 : x=−4==−4 : x=−2==−2

Answer:

d

Explanation:

A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:.

Answers

Answer:

A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:

Explanation:

Some numbers are formed with closed paths.

Answers

Answer:

what is the question

Explanation:

A significant factor in the exponential population growth over the past two centuries is:.

Answers

A significant factor in the exponential population growth over the past two centuries is; good sanitation and medical advances.

In exponential growth, the rate of the growth in population usually increases over time and this is usually directly proportional to the size of the population.

Now, this rate discussed above usually causes the population to increase much more faster.

We can say that good sanitation and medical advances will contribute to the exponential growth of the human population due to the fact that when an environment is clean, it will prevent the accumulation of dirt and infectious particles to accumulate inside the body which means less contraction of deadly diseases.

Secondly, medical advances have helped in curing of deadly diseases that cause more deaths and this means the death rate will decrease and population will increase.

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Oscar started freaking out about the test formal brainly.

Answers

Answer:

?

Explanation:

Answer:

y lol

Explanation:

Yesterday, the temperature at noon was 11. 4℉. By midnight, the temperature had decreased by 15. 7 degrees. What was the temperature at midnight?.

Answers

Answer:

It is 4.3

Explanation:

because 15.7 minus 11.4 is equal to 4.3.

Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction. Which ions will combine to form a salt? Check all that apply. H H3O Cl- Cs OH-.

Answers

Answer:

Hydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction. Which ions will combine to form a salt? Check all that apply. H H3O Cl- Cs O

Explanation:

whatttttttttttttttttttt

Answer:

Its C and D, (CI- and Cs+)

Explanation:

It is affected by the structure of the bones and muscles surrounding the joint.

Answers

Answer:

um... ok

Explanation:

5006+6

this is the hardest question on Earth i KEEP GETTING IT WRONG PLEASE help me

Answers

Answer:

5012

Explanation:

5006 + 6 equals 5012

If five times a number increased by six, the result is at least 26. What is the least possible number that satisfies these condition ?.

Answers

The least possible number that satisfies the condition is 4

Let the number be a.

Thus,

Five (5) times the number = 5 × a = 5a

From the question given above, we were told that five (5) times the number when increased by 6 is 26. This can be written as:

5a + 6 = 26

Finally, we shall determine the value of a. This can be obtained as follow:

5a + 6 = 26

Collect like terms

5a = 26 – 6

5a = 20

Divide both side by 5

a = 20 / 5

a = 4

Therefore, the least possible number that satisfies the condition is 4

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how did the officer feel about himself​

Answers

Answer:

how happy

Explanation:

Which of the following describes a consumer installment loan?.

Answers

Answer:  hums 202 Which of the following describes a consumer installment loan? A. A loan you get based on the tax refund that you expect to receive. B. A loan that is repaid in equal monthly payments for a specific period of time, usually several years. C. A loan where you have to promise to give the bank your assets if you do not repay the loan. D. A loan for consumer goods where you own the item(s) at the end of the payment period.

Explanation: all you have to do is search up the answer to this on brainly

Did you go to the swim meet.

Answers

Answer:

what?

Explanation:

Alterations in various aspects of society over time.

Answers

alterations in various aspects of society over time according to pitrim Sorkin cyclical theory of social change the principle of immant change is the natural tendency of a society structure to swing back and forth between the ideotional and sensate culture

A significant alteration to a society's structure is social change. Numerous facets of a society, including its economic, political, cultural, ethical, and identity problems, can be affected by social change.

What Alterations in various aspects of society over time?

The major alteration of social structure and cultural norms over time is referred to as social change. Social ties that have remained constant over time and become routine or repetitive are referred to as social structures.

Among the key forces influencing societal development are population growth and composition, the natural environment, social conflict, culture, and technology.

Cultural lag is the term used to describe a delayed shift in one area of society as a result of a change in a different area of society.

Therefore, Alterations in social change various aspects of society over time.

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Look at the graph. A graph titled Yearly Average, Dow Jones Industrial Average. The x axis shows the years 1919 to 1929. The y axis shows the yearly average closing price, from 0 to 350. In 1919, it was at 100 and stayed relatively stable until 1925, when it began to rise dramatically, from 125 in 1925 to over 300 in 1929. During what years did consumerism cause the stock market to grow most? 1920–1921 1921–1924 1922–1925 1924–1929.

Answers

Answer It's D (1924 - 1929)

hope this helps :)

Explanation: edge 2023

What is created when rocks bend due to the compression of tectonic plates? Question 1 options: Faulting Subduction Folding Whipping.

Answers

Answer:

Third option: Folding

Explanation:

When the movement of tectonic plates causes stress and pressure on a rock, and it bends, it is called folding.

Hope this helps :)

In the cycle shown is mantle made of silicate rocks why.

Answers

Answer:

The rocks that make up Earth's mantle are mostly silicates—a wide variety of compounds that share a silicon and oxygen structure. Common silicates found in the mantle include olivine, garnet, and pyroxene.

Explanation:

Which sentence best concludes the paragraph? It is important to understand historical causes as the English language continues to develop. Many people wonder why international communication is so difficult. I can’t wait to see how the English language develops in the future.

Answers

Answer: ( Answer A) It is important to understand historical causes as the English language continues to develop

Explanation: because I just took the assignment

The sentence that best concludes the paragraph is that it is important to understand historical causes as the English language continues to develop. Thus, the correct option for this question is A.

What do you mean by Paragraph?

A Paragraph may be defined as a collection of sentences that significantly represents some thoughts and ideas to the reader or audience. It is a brief piece of writing that all relate closely to the topic sentence.

According to the context of this question, it is consequential in order to understand the causes and influence of the English language which continues to develop till now. It is the significance of the English language.

Therefore, it is important to understand historical causes as the English language continues to develop is the sentence that best concludes the paragraph. Thus, the correct option for this question is A.

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What is the potential energy of a rock that weighs 5 kg and sits on top of a 10- meter high hill?.

Answers

Answer:

490 Joule

Explanation:

Solution:

Given,

Mass (m) = 5 kgAcceleration due to gravity= 9.8 m/sHeight (h)= 10 m

Here,

Potential Energy (P.E.)= mgh

=5×9.8×10

= 490 Joule

According to john green, why was luther successful with his rebellion when others before him had failed?.

Answers

Answer:

As indicated by John Green, Luther's prosperity with the insubordination originated from his capacity to, at first, cause his lessons to resound with laborers and adolescents. Be that as it may, this reverberation didn't keep going long. Luther before long turned his lessons against the workers for the lords and sovereigns.

Explanation:

Thus according to John Green, Luther's capacity to originally made his beliefs appealing to workers and teenagers contributed to the rebellion's success.

Who is Luther?

The Renaissance, which resulted in Protestantism becoming the fourth main force in Christendom after Catholic Faith was sparked in part by Martin Luther's convictions.

According to John Green, Luther's success with inappropriate behavior stemmed from his ability to initially make his lectures resonate with workers and teenagers. Whatever the case, this reverberation lasted only a short time.

The workers serving the princes and sovereign states were the target of Luther's teaching soon after. However, this echo was brief. The teachings of Luther soon shifted away from the peasants and toward the kings. 

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