Jaxon built a treehouse with a base of 12 square yards. The volume of his treehouse was 108 cubic yards, how tall is the prism? Explain your answer.​

Answers

Answer 1

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

Answer 2

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

To learn more about: volume of rectangular prism

Ref: https://brainly.com/question/28060173

#SPJ2


Related Questions

what is the surface area of the cylinder?
A)176[tex]\pi[/tex] cm^2
B)376.8cm^3
C)376.8cm^2
D)120[tex]\pi[/tex] cm^2

Answers

Answer:

Step-by-step explanation:

A=2πrh+2πr2

Putting values

2(22/7)(4)(11) + 2(22/7)(4)^2

= 376.8cm^2

Option C is the correct answer

Find the shaded angle

Answers

Answer:

61.5°

Step-by-step explanation:

The triangle is isosceles , the radii are congruent , then the 2 base angles are congruent.

The vertex = 360° - 303° = 57

shaded angle = [tex]\frac{180-57}{2}[/tex] = [tex]\frac{123}{2}[/tex] = 61.5°

Find the area of the shaded region. Each shape is a square.

Answers

Answer:

the area of the 2in. one is 4in.²

the area of the 3in. one is 9in.²

the area of the 6in. one is 36in.²

Step-by-step explanation:

the formula for area of a square is a²

Please help I do not know how to do this

Answers

Answer:

B)1,200

Step-by-step explanation:

If you add up the close at 10pm numbers you get 60. Since the total number of people surveyed was 200 and the question asks if there were 4,000 you would divide 4,000 by 200 and you would get 20. Then you should multiply 60 by 20.

1700 students hope this helps

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

Answers

Correct Question:

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

1. p = 5d  

2. d = p + 5

3. d = 5p

Answer:

3. d = 5p

Step-by-step explanation:

As one plate of cookies price is 5 $

The d is expressed as numbers of dollars which are earned.

Earnings = d = 5 x number of plates sold (p)

therefore

d = 5p

Answer:

d+p5

Step-by-step explanation:

Select the correct product.
(x2 + 4x+8)(2x - 1)
0x2+6 x+7
O 2x2 -782-12 X-8
O2 x° +7 x2 + 12 x -8
0x2+8 -8

Answers

The answer is a hope it helps


plss helppp !! Can someone explain how to do this pls

Answers

Don’t mind the words buh the math problem is here because I don’t know how to explain it the best buh the answer is 40

4 to the power of 6 multiplied by 4 to the power of 7

Answers

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

[tex]4^{13}[/tex]

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]

[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?

A. -7
B. -3.6
C. -4.6
D. -5

Answers

The answer for this is -3.6 you need to add them together then subtract!

Broccoli costs $1.50 per pound at a store. how much money does 32 ounces cost

Answers

Answer:

$ 3.00

Step-by-step explanation:

1 pound = 16 ounces

2 pounds will cost 32 ounces

2 x $ 1.50

= $ 3.00

a balloon is released at ground level, and it rises into the air at a constant rate. after 12 seconds the balloon is 180 feet above the ground.
complete the table to describe the proportional situation. type your answers in the blanks.

Answers

Answer:

y = 15x

0=0, 1=15, 2=30, 3=45, 4=60, 5=75, 6=90

Step-by-step explanation:

180/12 = 15 ft/s

Therefore, every second, the balloon rises 15 feet.

-1.52=3.8x

solve for x

Answers

Answer:

x = -0.4

Step-by-step explanation:

2 4/8 - 1 3/4 pls help i got 1 min

Answers

I think 3/4 or 0.75 will be the answer

Answer:

1 1/8

Step-by-step explanation:

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?

Answers

Answer:

The surface area of the sphere is = [tex]99426.41 yd^2[/tex]

Step-by-step explanation:

The area of a sphere can be calculated using this formula:

[tex]A=4\pi r^2[/tex]

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference = [tex]2 \times \pi \times r[/tex]

[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]

We now have our radius. we can input it into equation 1 above

The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]

Can someone please solve these and explain how to do it. I'll give the brainliest to the best answer.

Answers

Answer:

5) 1/19x^6

6) 14a^3

7) 3/8

8) (3)/4s^3 r^8

Step-by-step explanation:

(-) exponents flip it to the other side of the bar

x^-6 = 1/x^6

With positive exponents, the exponent with the lower power subtracts from the higher power

Each day Theo walks dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week

Answers

Answer:

280 minutes

Step-by-step explanation:

Given that :

Daily dog walk routine :

Minutes walked in the morning = 15

Minutes walked in the afternoon = 25

Number of days per week = 7

The number of minutes Theo walks dog per week :

Number of days per week * (minutes walked in the morning + minutes walked in the afternoon)

7 * (15 + 25)

7 * (40)

= 280 minutes

what does x = ?
please please help

Answers

Question

what does x = ?

please please help

5x(2x+20)= 90

10x=90-20

10x=70

x=70/10

x=7

plz give brainliest +thanks

Answer:

10°

Step-by-step explanation:

5x + 2x + 20° = 90° { Being complementary angles }

7x = 90° - 20°

7x = 70°

x = 70° / 7

x = 10°

Hope it will help :)❤

0.8 k - 20 = -60

what does ‘k’ equal?

Answers

Answer:

K = -50

Step-by-step explanation:

0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.

Answer:

k equals -50

Step-by-step explanation:

0.8 k - 20 = -60

0.8k = -60 + 20

0.8k = -0

k = [tex]\frac{-40}{0.8}[/tex]

k = -50

What is the point-slope form

Answers

the slope intercept form would be y=mx+b!

Find the distance between the points.
(5.10),(5,4)
The distance is

Answers

Answer: 6??

Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)

Answer:

The distance will be √(x2-x1)^2+(y2-y1)^2

=√(5-5)^2+(10-4)^2

=√(0)^2+(6)^2

=√(6)^2

=6 units

Please help me with this question thanks!​

Answers

Answer:

infinite many solutions

Step-by-step explanation:

6x-1=2x+5+4x-6

0=-6x+1+6x-1

0=0

Erik took out a loan for $8400 for 6 years at a compound interest rate of 5.5%-
How much interest does Erik owe from the loan?
$11,582.28
$108,084.86
$2,772
$3,182.28

Answers

Answer:

$2772

Step-by-step explanation:

Given data

Principal= $8400

Rate= 5.5%

Time= 6 years

The expression for the simple interest on the loan is found using the expression below

SI= PRT/100

substitute

SI= 8400*5.5*6/100

SI= 277200/100

SI= $2772

Hence the simple interest is  $2772

Answer:The answer is actually 3,182.28

Step-by-step explanation:

The table shows some ordered pairs that belong to the quadratic function h.



What is the range of h?

Answers

Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

find the area of the base on prism

Answers

So length times width times height or V= bh

find the slope and y-intercept of (x+2)(x+3)=(x-2)(x-3)+y​

Answers

Answer:

Slope: 10

y-intercept: (0,0)

Answer:

Y-intercept is 0 and slope is 10x

Y = 10x - 0

Step-by-step explanation:

Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?

Answers

3x+y=163 2x+3y=174

it should be like this {: and each point is one.

3x + y = $163
2x + 3y =$174

Express 0.35 ( non terminating recurring ) in the form of p/q ??​

Answers

Answer:

7/20

Step-by-step explanation:

[tex]0.35 = \frac{35}{100} = \frac{7}{20} [/tex]

Answer:

Step-by-step explanation:

Hello Dear!!!!

Here's your answer...

x=0.353535...

this is equation 1

multiply with 100

100x = 35.353535...

this is equation 2

equation 2 - equation 1

100x = 35.3535...

     x =    0.3535...

________________

99x = 35

x = 35/99

35/99 is the answer....

________________________________________

HOPE THIS HELPS YOU...

What are the measurements of the garden?

Answers

Answer:

length 60 feet

length 2=60 feet

width 1=30feet

width 2=30feet

those is because there is 4 sides to a rectangle

Step-by-step explanation:

because the length is twice the width, 2x 30=length

PLEASE HELP WILL GIVE BRAINLIEST!!!
There are 35 rows in an auditorium. The first row has 38 seats. Each row after that has three more seats than the previous row.
a) write an explicit formula that represents the number of seats in one of the rows.

b) How many seats are in row 25?

c) How many total seats are in the auditorium?

Answers

Answer:

b

please correct if wrong

Step-by-step explanation:

NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

It is < hope it help also 5/3

Answer:

y < 4/3x - 2

Step-by-step explanation:

Another way to find slope is to subtract  [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.

We subtract the y-value 2 from -6.

2 - - 6 can also be taken as 2 + 6.

2 + 6 = 8.

Then, subtract the x-values.

Subtract 3 - -3, or 3 +3.

3 + 3 = 6.

Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].

Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)

The shading is on the left side and the line is dotted, so our sign is <.

The inequality is y < 4/3x -2.

Other Questions
5. Find the surface area of the prism.13 cm5 cm4 cm12 cm What is the volume of the cone?Use 3.14 for , and round to the nearest tenth. A water spout is filling a large container with water. After 5 hours the container held 24L of water. After 8 hours the container held 30L of water. At this rate, how much water was in the container at 2 hours? Research the facts of UAEs size and location and compare with India and use a Map for comparison. During which eon did Pangaea come together?ArcheanHadeanPhanerozoicProterozoic This is relative frequency table. Can someone help? You now need to refer only to Source B from lines 4 - 18 How does the writer use language to describe Boston and its atmosphere?SOURCE B IS BELOWBOSTON by Charles DickensDickens has been travelling around the USA and has written this travel log about his experiences.To return to Boston. When I got into the streets upon this Sunday morning, the air was so clear, the houses were so bright and gay: the signboards were painted in such gaudy colours; the gilded letters were so very golden; the bricks were so very red, the stone was so very white, the blinds and area railings were so very green, the knobs and plates upon the street doors so marvellously bright and twinkling; and all so slight and unsubstantial in appearance - that every thoroughfare in the city looked exactly like a scene in a pantomime. It rarely happens in the business streets that a tradesman, if I may venture to call anybody a tradesman, where everybody is a merchant, resides above his store; so that many occupations are often carried on in one house, and the whole front is covered with boards and inscriptions. As I walked along, I kept glancing up at these boards, confidently expecting to see a few of them change into something; and I never turned a corner suddenly without looking out for the clown and pantaloon, who, I had no doubt, were hiding in a doorway or behind some pillar close at hand. As to Harlequin and Columbine, I discovered immediately that they lodged (they are always looking after lodgings in a pantomime) at a very small clockmaker's one story high, near the hotel; which, in addition to various symbols and devices, almost covering the whole front, had a great dial hanging out - to be jumped through, of course.The suburbs are, if possible, even more unsubstantial-looking than the city.The white wooden houses (so white that it makes one wink to look at them), with their green jalousie blinds, are so sprinkled and dropped about in all directions, without seeming to have any root at all in the ground; and the small churches and chapels are so prim, and bright, and highly varnished; that I almost believed the whole affair could be taken up piecemeal like a child's toy, and crammed into a little box.The city is a beautiful one, and cannot fail, I should imagine, to impress all strangers very favourably. The private dwelling-houses are, for the most part, large and elegant; the shops extremely good; and the public buildings handsome. The State House is built upon the summit of a hill, which rises gradually at first, and afterwards by a steep ascent, almost from the water's edge. In front is a green enclosure, called the Common. The site is beautiful: and from the top there is a charming panoramic view of the whole town and neighbourhood. In addition to a variety of commodious offices, it contains two handsome chambers; in one the House of Representatives of the State hold their meetings: in the other, the Senate. Such proceedings as I saw here, were conducted with perfect gravity and decorum; and were certainly calculated to inspire attention and respect.There is no doubt that much of the intellectual refinement and superiority of Boston, is preferable to the quiet influence of the University of Cambridge, which is within three or four miles of the city. The resident professors at that university are gentlemen of learning and varied attainments; and are, without one exception that I can call to mind, men who would shed a grace upon, and do honour to, any society in the civilised world. Many of the resident gentry in Boston and its neighbourhood, and I think I am not mistaken in adding, a large majority of those who are attached to the liberal professions there, have been educated at this same school. Whatever the defects of American universities may be, they disseminate no prejudices; rear no bigots; dig up the buried ashes of no old superstitions; never interpose between the people and their improvement; exclude no man because of his religious opinions; above all, in their whole course of study and instruction, recognise a world, and a broad one too, lying beyond the college walls. how did ben Franklin die Based on the information you were just given, which statement would make the best topic sentence for an essay about industrialization? Industrialization had negative effects on the environment. O Industrialization led to more people manufacturing products at home. O. Industrialization increased the price of many products. O. Industrialization changed the way goods were produced. 2. Ella enter answermuchos museos y yoenter answermuchos clubs. The Wolf in Sheeps ClothingA Wolf found great difficulty in getting at the sheep, given the watchfullness of the shepherd and his dogs. But one day, it found the skin of a sheep that had been flayed and thrown aside. He put it on over his own fur (so he looked just like a sheep) and strolled down among the sheep. The Lamb that belonged to the Sheep, whose skin the Wolf was wearing, began to follow the Wolf in the Sheep's clothing; so, leading the Lamb a little apart, he soon made a meal off her, and for some time he succeeded in deceiving the sheep, and enjoying hearty meals.Theme: Appearances can be deceiving.Read the fable closely and observe how the story reveals the theme. Think of an example from a TV show, book, or movie in which a character learns the same lesson communicated through this fable. Write a complete paragraph of at least five original sentences that explains how the fable and your story reveal the same theme.Use specific details from each story in your paragraph. Explain how your story choice makes the theme in the fable more modern or new. Which salt is most soluble at 10C? Claire is writing a post about saving honeybees for a sustainable farming organizations blog. What can she use as a hook in her post? -4x + 7y = 20 y= 3x + 15 Question 11(Multiple Choice Worth 1 points)(08.06 MC)The following data shows the weight, in pounds, of 5 boxes:3, 1, 2, 2, 2What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?(A.) 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds(B.) 0.8 pound; on average, the weight of a box varies 0.8 pounds from the mean of 2 pounds(C.) 0.4 pound; the weight of 50% of the boxes is greater than 0.4 pound(D.) 0.8 pound; the weight of 50% of the boxes is greater than 0.8 pound Are the cylinders similar? Why or why not? 16. Which graph represents the solution to the following system of inequalities? Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?A.(-3, 0)B.(2, -5)C.(-3, -10)D.(2, -10) can any one help me i really really need it From a distance of 1217 feet from a spotlight,the angle of elevation to a cloud base is 43 degrees. Find the height of the cloud base to the cloud base to the nearest foot