Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?

Answers

Answer 1

Answer:

Lateral areas have ratio of 4:1

Volumes have ratio of 8:1

Step-by-step explanation:

There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].

Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].

Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]


Related Questions

Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!

Answers

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

35 because it was the only time zips was mentioned being on the bag

Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.

Answers

c sorry if i’m wrong btw


Helpppppppppp plsssssss

Answers

Answer:

1.05

Step-by-step explanation:

shop A: 2x3= 6

shop b: 5 for 1.10, 5 more for .55, so 1.65/10

1.65×3= 4.95

6-4.95= 1.05

what is 37.13 + 21.03 =

Answers

Answer:

58.16

Step-by-step explanation:

is the answer

easy question

4. What is the slope of the graph of x – 2y = 8?

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

Use the slope-intercept form  y  =  m x + b  to find the slope  m

Hope this helps:)

The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08​

Answers

Answer:

8

Step-by-step explanation:

What is the radius and diameter of the following circle?
7 cm
Radius
cm
Diameter =
cm

Answers

The guys is lying he is gonna get your up 7373

help what’s the total lol i’m confused

Answers

Answer:

45

Step-by-step explanation:

brainliest?

2 questions plz Both will be in the comments​

Answers

The two questions aren’t there?

What is the area of the triangle?

Answers

40 right? Because base times height divided by two is area of a triangle

Answer:

52

Step-by-step explanation:

If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35

Answers

Answer:

I think its gonna be 35 I'm not sure

IXL box plots for 6th grade
PLEASE HELP ASAP IM DIEING HERE

Answers

Answer:

IQR = 8

Step-by-step explanation:

IQR is the difference between the 3rd quartile (12 in this case) and the 1st quartile (4 in this case)

A certain field is a rectangle with a perimeter of 818 feet. The length is 175 feet more than the width. Find the width and length of the rectangular field.

Answers

9514 1404 393

Answer:

width 117 feetlength 292 feet

Step-by-step explanation:

Let w represent the width of the field. Then w+175 is its length. The perimeter is ...

  P = 2(L+W)

  818 = 2((w+175) +w) . . . . . fill in given values

  818 = 4w +350 . . . . . . . . . simplify

  468 = 4w . . . . . . . . . subtract 350

  117 = w . . . . . . . . divide by 4

  w+175 = 292 . . . . find the corresponding length

The width of the field is 117 feet; the length is 292 feet.

What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0​

Answers

Answer:

6

Step-by-step explanation:

Range : hightest number - lowest number

4 - (-2)

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!

Answers

Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.

Answer:

251.33cm^3

Step-by-step explanation: Use the formula V= π • (d/2)^2 • H

HOPEFULLY THIS HELPS

7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(2) = 2(2³) - 18(2²) + 36(2) + 12

= 2(8) - 18(4) + 72 + 12

= 16 - 72 + 72 + 12

= 16 + 12

= 28

Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?​

Answers

365 packets of 8 and 584 packets of 5 and she would have 219 fewer 8 button packets

please help me i only have 30 mins to an hour to finish

Answers

Answer:

D. 105 students

Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.

About how many times larger is 7.9×10^4 than 2.1×10^3?

Answers

Answer:

37.619047619 times larger

Step-by-step explanation:

7.9 × 10000

79000

2.1 × 1000

2100

79000 > 2100

79000 ÷ 2100

37.619047619

Necesito la versió en español plz 32

Guys what will be the population in five years.

I don’t know what i did wrong please help

Answers

Answer:

4990

Step-by-step explanation:

Multiply 638 by 5 then add 1800 and that's your answer

Answer:

4990

Step-by-step explanation:

638 x 5 = 3190

There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).

Hope this helps!

Yours Truel, TheAnimeCatUwU

Solve the equation 8x= 2/3 what does x stand for

Answers

Answer:

x=1/12

Step-by-step explanation:

Answer:

x = 1/12

Step-by-step explanation:

8x = 2/3

divide both sides of the equation by 8:

x = 2/24 = 1/12

HELP ASAP! PLZZZZZZZZZZZZ

Answers

wait i think it’s literally 6 times 11 which is 66

OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!

Answers

Answer:

triangular prism

Answer:

it will be triangular prism

PLZ ANSWER I REALLY NEED IT

A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0

Answers

The answer to this question is D

PLEASE HELP QUICKKKKK WILL GIVE BRAINLY
Question 2 (02.03)

Figure TUVW is transformed to T’U’V’W’, as shown:



Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?


1. Reflection about the y-axis followed by a translation left by 2 units

2. Reflection about the x-axis followed by a translation left by 2 units

3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

I can’t see the figure

The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?

Answers

2:3 would be the right feet.

Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.

How to compute the above

The area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:

(3/2)x² = 324

To solve for x, we can rearrange the equation and take the square root of both sides  -

x² = (324 * 2) / 3

x² = 216

x ≈ √216

x ≈ 14.7

Hence , the length of the side of the smaller square is approximately 14.7 feet.

Learn more about ratio at:

https://brainly.com/question/12024093

#SPJ2

If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?

Answers

Answer:

.81

Step-by-step explanation:

Find the surface area, given that the area of each hexagon is 166 square feet.

Answers

Answer:

1148 square feet

Step-by-step explanation:

Which number is a perfect cube?
A. 8
B. 9
C. 16
D. 25

Answers

C. 16
2^3 = 16
2x2=4
4x2=8
8x2=16

8 is a perfect cube number. So, option A.) is correct.

A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal [tex]y^3[/tex] if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, [tex]3\sqrt{x}[/tex] equals y.

Let, a be a integer number then for a number to be perfect cube

Number= [tex]a^3[/tex]..............................................where a is integer number

8= [tex]a^3[/tex]

So, a=2

9= [tex]a^3[/tex]

No, integer value exist, whose cube is 9.

16= [tex]a^3[/tex]

No, integer value exist, whose cube is 16.

25= [tex]a^3[/tex]

No, integer value exist, whose cube is 25.

Thus, 8 is a perfect cube number. So, option A.) is correct.

Learn more about cubes, here:

https://brainly.com/question/1634952

#SPJ6

Other Questions
Which of the following sets of side lengths could produce a triangle? Selectall that apply.13 mm, 5 mm, and 6 mm2 cm, 7 cm, and 6 cm2 m, 5 m, and 7 m6 ft, 6 ft, and 12 ft What is the angle of GHD? Read Psalm 37 in a King James Version Bible and complete the sentence.Psalm 37:1 ...neither be thou _____ against the workers of iniquity.the thing is I don't see that in the bible, I looked A small portion of an mRNA sequence is shown below.AAUGACUGGCUCStarting with the first base, how many codons does this portion of the sequence contain?A. 6B. 4C. 1D. 12 What is the only type of legal force allowed is when a crime is committed? PLEASE HELP!!! I. NEED HELP IN BIOLOGY FAST!! EXPLAIN!! 840 Km in 12 hours.Whatis the average speed. ______ is a source of genetic variation that involves the swapping of sections of chromosomes during meiosis A company makes 140 bags.37 of the bags have buttons but no zips.38 of the bags have zips but no buttons.38 of the bags have neither zips nor buttons.How many bags have zips on them? I have a question on triangle congruence its a homework assignment Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale. Given that the standard deviation of self-esteem scores was 28.15, what would the z score be for a person whose self-esteem score was 101.6 If mutated DNA Sequence #1 occurred in a single cell on the membrane of a fish, how might it impact the organism? Bilang mamamayan ng bansang Pilipinaspaano mo mapapahalagahan at maipakita ang iyong pagtulong sa ating bansa? how do you write f(x)=2x -8x+6 in factored form ? Can someone summerise lord of the flies I'm having trouble understanding the book. Winnie when she fell asleep sitting up so she just kept going back lol now Im on a rampage posting my cats :,) find the value of given expression[tex] \sqrt{9 \times 81 \times 9} [/tex] What did Roosevelt, Churchill, and Stalin agree to at the Yalta Conference? What is the area of a circle with a radius of 4 cm? Give your answer in terms of pi.(This is a math question from flocabulary, and I really need help!!) What can happen after the president vetoes a bill approved by Congress?The president can ban the bill from being introduced into either chamber of Congress ever again,OBThe Supreme Court can rule that the veto is unconstitutional and that the bill should become law.Oc.The bill is dead in both chambers of Congress but can be sent to the states for approval by their legislatures.The two chambers of Congress can override the president's veto with a two-thirds vote in both chambers.