A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.

Answers

Answer 1

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.


Related Questions

I ready diagnostic time!!

Answers

Answer:

I think choose (D)

[tex] \frac{4}{10} and \frac{10}{25} [/tex]

find the value of x for the question.​

Answers

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$18 per ticket to the planetarium. The second day they paid $95 for transportation plus $15 per ticket to
the geology museum. Write an expression to represent the total cost for two days for the n members of
the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
HARD! [Ma

Answers

Answer:

145 + 33n

Step-by-step explanation:

Let

n = number of members in the club

Day 1:

Cost = 50 + 18n

Day 2:

Cost = 95 + 15n

Total cost two-day field trip = day 1 + day 2

= (50 + 18n) + (95 + 15n)

= 50 + 18n + 95 + 15n

= 145 + 33n

Total cost two-day field trip = 145 + 33n

An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n

Jill, an employee at Old Navy, budgets 13 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary?

Answers

The question is incorrect. Please see the correct question

Jill, an employee at Old Navy, budgets 1/3 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,220. What is her yearly salary

Answer:

24,660

Step-by-step explanation:

Let y represent her yearly salary

1/3 × y

1/3y

1/3y= 8220

Cross multiply

y= 8220 ×3

= 24,660

Hence Jill yearly salary is 24,660

Find the volume of the cylinder in terms of pie and to the nearest tenth 4 in 1in

Answers

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

Could someone please help me with the surface area of this prism

Answers

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

Are HMS is the same as Are HSM, since they use the same letters and points on the circle
?
True or false ?

Answers

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

Solve for the value of e.
please help

Answers

Answer:

44

Step-by-step explanation:

Angles that form a straight line add up to equal 180 degrees

Hence, e + 8 + 3e - 4 = 180

                      ^ ( note that we just created an equation that we can use to

                          solve for e )

Using the equation created, we then solve for e

e + 8 + 3e - 4 = 180

step 1 combine like terms

3e + e = 4e

8 - 4 = 4

we now have 180 = 4e + 4

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 176 = 4e

step 3 divide each side by 4

176 / 4 = 44

4e / 4 = e

we're left with e = 44

An item is regularly priced at $31 . It is on sale for 65% off the regular price.

Answers

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

Please help me I need help

Answers

it's upside down , can barely see it
13.2665

A squared plus B squared equals C squared

can somebody please plz tell me the answer to this question or else I will be grounded. the window has the shape of a kite how many square meters of glass were used to make the window ​

Answers

The answer is 800 cm.

Angle 1 and Angle 2 are supplementary. Which equation could you use to find the measure of Angle 2?


Angle 1: 67°
Angle 2: x degrees

Answers

Answer: 67 + x = 180

Step-by-step explanation:

Since the angles are supplementary, together they'd add up to 180. Since we do not know the degrees of Angle 2, we arrange x in the equation.

Hope this helps you! Good luck! <3

Please help!! Can you tell me the answers for number 4, 5, and 6?

I'll give you 5/5 stars, thanks, and the brainliest!!!!! PLEASE HELP MEEE

Answers

Answer:

4)56yards²

5)336 yards²

6)375yards²

Step-by-step explanation:

Question-4:

from the graph we acquire that

length:4width:3.5

remember that,

[tex] \displaystyle A _{ \text{rect}} = l \times w[/tex]

thus substitute:

[tex] \displaystyle A _{ \text{rect}} = 4 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 14\: [/tex]

14 means that the rectangle has 14 squares

so,

[tex] \displaystyle 1 \: \text{square} \implies 4 \: { \text{yards}}^{2} \\ 14 \: \text{square} \implies 14 \times 4 \: { \text{yards}}^{2} \\ \qquad = 56 \: { \text{yards}}^{2} [/tex]

Question-5:

likewise

from the graph we acquire that

length:6 wide:3.5

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 3.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 21[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 16 \: { \text{yards}}^{2} \\ 21 \: \text{square} \implies 16 \times 21 \: { \text{yards}}^{2} \\ \qquad = 336\: { \text{yards}}^{2} [/tex]

Question-6:length:6width:2.5

likewise

[tex] \displaystyle A _{ \text{rect}} = 6 \times 2.5 \: [/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{rect}} = 15[/tex]

so,

[tex] \displaystyle 1 \: \text{square} \implies 25 \: { \text{yards}}^{2} \\ 15 \: \text{square} \implies 15 \times 25 \: { \text{yards}}^{2} \\ \qquad = 375\: { \text{yards}}^{2} [/tex]

What is 6 fewer than 3 times a number

Answers

Answer:

3x - 6

Step-by-step explanation:

Using the keywords "a number" and "few than" and "times" we can identify the expression.

Answer:

Let the number be x

Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)

Hence the required expression is 3x-6.

hope it helps :)

To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly​

Answers

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8

Answers

Answer:

E is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Add up the non variables and you should get E

How many coins make $7.68 in cents

Answers

768 pennies my dudeeee

Need help ASAP it’s due at 11:10

Answers

Answer:

number 1: i wont guve you the answee but its either A or C thats the hint because your subtracting becasue it says your losing 950 a year so the adding is not it so its not B neither D it has to be either A or C.

number 2: its A

number 3: u think its D im not sure because its either B or D but im pretty sire its D.

number 4: its D there yiu have it hope it helped.

What is the scale factor?
NEED HELP ASAP!​

Answers

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

I Need Help I Don't Understand This

Finding a final amount in a word problem on exponential growth or decay

A certain forest covers an area of ^2. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

The kilometer with the meter and then and that will equal 8.5%

Create a polynomial function in factored form that crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

Answers

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones

Answers

Cubes
Triangular prisms
Rectangular prisms
Square prisms
Square prisms

Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π)

Answers

Answer: Circumference of Earth= 25120 miles

Step-by-step explanation:

Given: The circumference of a circle can be found using the formula [tex]C = \pi d[/tex], where d= diameter of the circle.

Earth's diameter = 8000 miles (approx)

The circumference of circle = [tex]3.14\times 8000[/tex]  [substitute values in formula]

The circumference of circle = 25120 miles (approx)

Hence,  the circumference of Earth= 25120 miles (approx)

Solve for n: 2^3n = 4

Answers

Answer:

n=1/2

Step-by-step explanation:

the capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?

from the owner's lil sis

Answers

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

WHATS THE VOLUME PLS HELP

Answers

Answer:

Step-by-step explanation:

Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.

If there are 3.28 feet in 1 meter, how many yards are in 8 meters? Round answer to the nearest tenth. (Hint: This problem requires two conversions.)

Answers

Answer:

8.7

Step-by-step explanation:

is 100/2 a rational number​

Answers

Answer:

Yes, 100/2 is a rational number.

Answer:

its a rational number because its written as a fraction

hope this helps

have a good day :)

Step-by-step explanation:

Solve the equation ​ d divided by 1.2 is equal to 6 ​ PLS HELPP

Answers

Answer:

The answer is 7.2.

Step-by-step explanation:

Have a great day.

Answer:

d = 7.2

Step-by-step explanation:

all you have to do is multiply 1.2 by 6 to get your answer

[tex]1.2 \times 6 = 7.2[/tex]

Vincent is building a rectangular pen for his new pet rabbit. The area of the pen is 36 square feet. The length of the fence is 5 feet longer than its width. Write the equation that can be used to model the relationship between the area of the gate and side length

Answers

Answer:

w² + 5w = 36

Step-by-step explanation:

Since the pen is a rectangle, its area, A = lw where l = length and w = width.

Since the length of the fence is 5 feet longer than its width, we have l = w + 5

So, A = lw = (w + 5)w = w² + 5w

Since A = 36 ft², we have that

36 = w² + 5w

w² + 5w = 36

Which is the required equation.

Other Questions
solve everything for brainiest 11. Describe how the climate most likely changed between 220 million and 12 thousand years ago Why were King Fernando and Queen Isabel refered to as Los Reyes Catolicos?Select one:a.They wanted to spread the Catholic religion.b.They were baptized.c.They conquered the Moorish civilization in Granada.d.They were devout Catholics. A new principal has just been posted to your school.Write a speech you will deliver at the welcome party organised for him informing him about some problems faced by student Why is CRISPR important? change to passivethe cat eat the mouse my dog was walking with me I went to the fan sign event There are 10 marbles in a bag 1/5 are and the other are blue .What is the ratio of red to blue marbles 141.75 divided by 2.5 PLEASE HELP!!from Adventures of Huckleberry Finn by Mark Twain.Read this sentence from paragraph 2:She was a big one, and she was coming in a hurry, too, looking like a black cloud with rows of glow-worms around it; but all of the sudden she bulged out, big and scary, with a long row of wide-open furnace doors shining like red- hot teeth, and her monstrous bows and guards hanging right over us. The author uses the figurative language in this sentence to show that Huck- F. thinks the steamboat looks large and menacingG. things a large animal is chasing after him and JimH. would prefer to be riding on the steamboat than on the raftJ. has a hard time seeing while sitting on the dark water. We face this new crisisthis new threat to the security of our nationwith . . . courage and realism.Never before since Jamestown and Plymouth Rock has our American civilization been in such danger as now. . . .The Nazi masters of Germany have made it clear that they intend not only to dominate all life and thought in their own country, but also to enslave the whole of Europe, and then to use the resources of Europe to dominate the rest of the world. . . .It is not a government based upon the consent of the governed. It is not a union of ordinary, self-respecting men and women to protect themselves and their freedom and their dignity from oppression. It is an unholy alliance of power . . . to dominate and enslave the human race.President Franklin D. Roosevelt,1940What reason does Roosevelt give to support his argument that the United States should help the Allies?Japan and Germany cannot be defeated without US assistance.America was in a similar type of danger during colonial times.Germany is a threat to democracy and to the people of the United States.Isolationism is the smartest and the best course of action. Which is the following solution of the inequality?H+9 what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4? [Gatsby] stayed [in college] two weeks, dismayed at its ferocious indifference to the drums of his destiny, to destiny itself, and despising the janitors work with which he was to pay his way through. aGatsbys shame of his janitorial work eventually fueled his college career. bGatsby dropped out of college to pursue the destiny he believed he deserved. cGatsby believed that his destiny would be positively determined by his education Croissants Corporation and Donuts Company transfer their assets to Edibles Inc., which manages the assets and distributes the profits to Croissants and Donuts. This arrangement is a. none of the choices. b. a joint venture. c. a syndicate. d. a business trust. Which of the following would likely happen if a persons lactic acid system had difficulty breaking down glycogen in the muscles?The person would have difficulty swimming across a lake.The person would have difficulty sprinting in a race.The person would have difficulty cycling down a hill.The person would have difficulty running a marathon. Dominant traits are... A.Traits that everyone wants B. Traits that are shown over traits C.Traits that are hidden by other traits D. Trants that no one wants (please help!!!!!)How are mechanical waves produced? Kawai requires a loan of $33,000 to buy a used sport utility vehicle. His banks offers financing at 6.75% compounded monthly, for a term of 6 years, payable monthly. What is the total cost of this loan? which of the following elements is a metal in the periodic table What was the social order, from most to least powerful, in Europe during the late Middle Ages?king; lords; vassals; serfsking; lords; serfs; vassalsking; vassals; lords; serfslords; king; vassals; serfs