The volume of Pyramid A is 704 cm3 and the volume of Pyramid B is 297 cm3. If the pyramids are similar and the surface area of Pyramid B is 153 cm2, what is the the surface area of Pyramid A?

Answers

Answer 1

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²


Related Questions

How would someone Algebraically determine X-Y intercepts?

Answers

Answer:

y-int:  -6

x-int: -2/5 and 3

Step-by-step explanation:

you can find the y-intercept by substituting zero in for every 'x' in the equation;

y = 5(0) - 13(0) - 6

y = -6

to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:

(5x + 2)(x - 3)

now set each factor equal to zero and solve for 'x':

5x + 2 = 0

5x = -2

x = -2/5

x - 3 = 0

x = 3

Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])

Answers

Answer: 2,-6

Step-by-step explanation:

The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).

To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.

3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.

Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.

4. Factor the perfect square trinomial: (x - 2)² + y = -6.

The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ4

The complete question:

Complete the square to find

the vertex of this parabola.

x² - 4x + y + 10 = 0

foods that build up the immune system​

Answers

Answer:

1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.

Step-by-step explanation:

Answer:

Citrus fruits.

Red bell peppers.

Broccoli.

Garlic.

Ginger.

Spinach.

Yogurt.

Almonds.

Step-by-step explanation:

Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?

Answers

Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

So, His miles per hour is 3 miles.

Answer:Answer:

3 miles

Step-by-step explanation:

8 hours ----> 42 miles

1 hour

= 24 / 8

= 3 miles

Hope this helps

Find the perimeter of the figure.

Answers

Answer:

26 meters

Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.

Answer:

[tex]26[/tex]

Step-by-step explanation:

perimeter= AB + BC + CE + DE + AD

AB= DE = 7

BC = 5

EC= 3

DE = 7

AD = 4

So, perimeter = 7+ 5+ 3+ 7+ 4

→ 12+ 10 +4

→ 24+ 4

→26

So, 26 is your answer

[tex]----------[/tex]

hope it helps..

have a great day!!

-8k-3-2k+7 need help asap

Answers

Answer:

-8k-3-2k+7

-10k+4

how to simplify?

(look for like terms)

The point A(-6, 8) is reflected over the point (-7, 6) and its image is point B. What are the coordinates of point B?

Answers

Answer: The answer is (-8, 4)

Step-by-step explanation:

PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached.

Answers

Answer:

y=3

x=6

Step-by-step explanation:

We can see from the image below that a= 3

which means that the legnht of y is 3

and the lenght of x is 3*2 or 6

i want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.

Example, the degree of 4x^8 is 8.

So the degree of 5x^4 is 4.

The degree of 3x^2 is 2.

The degree of 1 is 0 since there is no variable in this expression.

So the degree of 5 x^4 + 3 x^2 + 1 is 4.

The number of pages read by two students each day for 5 days are listed in the table.


Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75

Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.

Answers

Answer:

Means for both are equal

Range for Lionel is greater than for Aaron

Range for Lionel is 75

Step-by-step explanation:

Answer:

person above is right

Step-by-step explanation:

Find the area of the nearest hundredth

Answers

Answer:

since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381

Step-by-step explanation:

A=14πd2=14 · π · 222 ≈ 381

i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

What are simultaneous equations ​

Answers

Answer:

Simultaneous equations are ​equations involving two or more unknowns that are to have the same values in each equation.

Find the value of x. 43 degrees

Answers

Evet canım benim için çok iyi akşamlar yarın görüşürüz iyi geceler Allah rahatlık versin seni


what is the area of triangle EDF?

Answers

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?

Answers

Answer:

21m/s

Step-by-step explanation:

The average rate of change is expressed as;

A(t) = f(b) - f(a)/b-a

a = 2, b = 6

f(2) = 2² + 13(2)

f(2) = 4 + 26

f(2) = 30

f(6) = 6² + 13(6)

f(6) = 36 + 78

f(6)= 114

b- a = 6-2

b-a = 4

Substitute;

A(t) = 114 - 30/4

A(t) = 84/4

A(t) = 21

Hence the average rateof change is 21m/s

Write the equation of the line perpendicular to 2y= -x +6 through (4,-8)

A. y= 2x-16
B. y= 1/2x-10
C. y= -1/2x-6
D. y=2x

Answers

Answer:

B is perpendicular to 2y=-x+6

Josh currently bench presses 150 lbs. He increases that amount by 20% . How much can he bench press now? *

Answers

Answer:

180

Step-by-step explanation:

100%-> 150

1%->1.5

120%-> 180

i need the answer for this problem

Answers

Answer:

1.8x10^-4

Step-by-step explanation:

I did it by the calculator

(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3​

Answers

Answer:

16 > 11

Step-by-step explanation:

7 + (16 - 7) = 3 + 8

7 + 9 = 3 + 8

16 = 3 + 8

16 ≠ 11

or

16 > 11

Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?​

Answers

Answer:

Q1 --> 18.5

Step-by-step explanation:

Find the value of r.

Answers

Answer:

3.75

Step-by-step explanation:

i got you

Step-by-step explanation:

root under 45 is the value of r

What’s the answer? Down below is a image of the question

Answers

Answer:

link is virus dont search

Step-by-step explanation:

Also, I think it's #1. Hope this helps! UwU

A restaurant offers four different appetizers, nine different entrees, and three different desserts
How
many different meals can you order of one appetizer, one entrée, and one dessert?

Answers

Step-by-step explanation:

with multiplying rules, we get

4 × 9 × 3 = 108 different meals

Will mark brainliest!!


Identify the solid from its net

triangular prism

rectangular prism

triangular pyramid

rectangular prism


Answers

Answer:

triangular pyramid

Step-by-step explanation:

pls help im finna fail!!!


Enter the given equation in exponential format.

log base7/8 * 56x = 18y

Answers

does this work?
i put it into mathxway

Oliver is playing a game in which he has to choose one of three numbers ​(6, 7, or 8​) and then one of five vowels​ (a, e,​ i, o, or​ u). How many possible outcomes are​ there?

Answers

Answer:

There are 15 possible outcomes

Step-by-step explanation:

Here, we want to get the number of possible results

From the question, we can see that each of the numbers have 5 different vowel attachment

What this mean is that, we have;

6a , 6e, 6i, 6o and 6u

For the three numbers, the possible results would be;

5 * 3 = 15

i need help please asap!!!!

Answers

Answer:

3.24 m²156 cm²

Step-by-step explanation:

1.

Area of a parallelogram = base × height

The area of the parallelogram

= 2.7 × 1.2

= 3.24 m²

2.

Try to divide the figure into 2 rectangles and find their areas.

The area of the larger rectangle

= 6 × (20-6)

= 84 cm²

The area of the smaller rectangle

= 12 × 6

= 72 cm²

The total area of the figure

= 84 + 72

= 156 cm²

Answer:

C) 3.24m^2

C) 156 cm^2

Step-by-step explanation:

The area of a parallelogram is base * height.

The base is 2.7m, while the height is 1.2m.

2.7*1.2 = 3.24m^2.

We can envision the area of the figure to be a rectangle with another rectangle cut out of it.

The total rectangle's area is 20*12, which equals 240cm^2.

The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.

Now we just have to subtract 84. from 240, which is simple. 240-84=156.

The answer is 156cm^2.

please help me pleaseeee

Answers

The answer is B. 29 percent

Answer:

B) 29%

Step-by-step explanation:

7/24=0.290.29× 100%= 29%

༻✦༺ ༻✧༺༻✦༺

hope it helps...

have a great day!!

Samantha is constructing a door frame with base 30 inches, height 84 inches, and diagonal 91 inches. A sketch of the door frame is shown.

Answers

Answer:

The door is not in rectangle shape.

Step-by-step explanation:

Given:

Length of base = 30 inches

Height of door = 84 inches

Diagonal of door = 91 inches

Find:

The door is rectangle or not

Computation:

Using Pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

So,

91² = 84² + 30²

8,281 = 7,056 + 900

8,281 ≠ 7,956

So we say that the given door angle is not 90°

So,

The door is not in rectangle shape.

Find the input (x) of the function y = 1/4x+ 12 if the output
(y) is 6

Answers

Answer:

x = -24

Step-by-step explanation:

y = 1/4x+12 (Substitute 6 for y)

6 = 1/4x+12 (Subtract 12 from both sides)

6-12= -6 so its now -6 = 1/4x and since its a fraction you want to multiply both sides by the reciprocal

4*-6 = 1/4x*4 (1/4*4=1 which is 1x or x)

-24 = x

Answer:

y=1/4x+12

6=1/4x+12

1/4x=6-12

1/4x=-6

0.25x=-6

x=-6÷0.25

x=-24

Step-by-step explanation:

first put the given value into the equation

inverse rule:

+ve changes to -ve(vice versa)

÷changes to ÷(vice versa)

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