Square pyramid A and square pyramid B are similar. Their respective heights are 6 and 15 inches. The volume of pyramid B is 312.5 cubic inches. What is the volume of pyramid A?

Answers

Answer 1

The volume of pyramid A is 20 cubic inches.

Given that:

Height of pyramid of A and B are 6 and 15 inches, respectively.

Since square pyramid A and square pyramid B are similar, their corresponding sides are proportional.

Let the volume of pyramid A be V and the scale factor between the two pyramids be k.

The volume of a pyramid is given by V = (1/3) × base area × height.

Since the base of pyramid B is k times the base of pyramid A, and the height of pyramid B is also k times the height of pyramid A, we can set up the following relationship:

V(B) = k³ × V(A)

Given that the height of pyramid A is 6 inches and the height of pyramid B is 15 inches, we can calculate the scale factor k as follows:

k = height of B / height of A = 15 / 6 = 2.5

Now, we know the scale factor k, and we are given the volume of pyramid B as 312.5 cubic inches. We can find the volume of pyramid A:

V(B) = k³ × V(A)

312.5 = 2.5³ × V(A)

312.5 = 15.625 × V(A)

Now, solve for V(A):

V(A) = 312.5 / 15.625

V(A) = 20

The volume of pyramid A is 20 cubic inches.

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Related Questions

Find the median of the data Weight (in ounces) of puppies in litter 17, 15, 19,18,17,16,22 Median: [?] oz​

Answers

Step-by-step explanation:

put it in least to greatest and then put your fingers on the opposite side of the numbers and count down at the same time

Find the greatest common factor of the terms in the following expression: 8m + 18mn.

m
2 m
mn
8

Answers

Answer:

2m

Step-by-step explanation:

GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.

PLZ HELP What is the mode interval for the histogram? Science Test Scores Frequency No Бел о об - 1 50-59 60-69 70-79 80-89 90-100 Scores (out of 100) 0 80 - 89 O 50 - 59 O 10 90 - 100​

Answers

Answer: You are correct. The mode is between 90 and 100

This is because the tallest bar corresponds to this interval. The mode is the most frequent value.

Step-by-step explanation:

i am not sure but i hope this can help you

you have three sides and three angles what am i​

Answers

The answer is You are a triangle

Please help. How many play sports year round? ​

Answers

3 because 2 of them played during spring and winter. 6 of them played during spring and fall. and 13 played during fall and winter. but your asking for year round which is all three seasons meaning only 3 played year round.

Otis is cutting a long piece of wood trim into smaller pieces for an art project. The line plot shows the length of the smaller pieces of wood. How many pieces of wood will be at least 1 2 foot in length?

Answers

Answer:

6

Step-by-step explanation:

From the line plot, the length of wood measuring atleast 1/2 in length include :

Piece with length 1/2 and pieces with length 2/3

Number of pieces with length 1/2 feets = 4

Number of pieces with length 2/3 feets = 2

Pieces with atleast 1/2 feet length = 4 + 2 = 6

NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT A

Answers

Answer:

I believe it's C

Step-by-step explanation:

The surface area of the bottom is 64 because it's 8 times 8.

All of the sides are 8 times 12.

8 times 12 is 96.

96 times 4 (for all four sides) is 384.

So the sides (384) plus the bottom (64) is 448, or C

Pls answer this with a picture showing the correct box plot

Answers

Answer/Step-by-step explanation:

To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.

Given, {2, 3, 5, 6, 10, 14, 15},

Minimum value = 2

Median = middle data point = 6

Q1 = 3 (the middle value of the lower part of the data set before the median)

Q3 = 14 (middle value of the upper part of the data set after the median)

Maximum value = 15

If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.

See the attachment below for the correct box plot.

Why is 3 x 1/10 less than 3 x 10?

Answers

Answer:

The value of 1 tenth is less than the value of 1 ten.

Step-by-step explanation:

Answer:

Because 3 x 1/10 = 3/10

whereas 3 x 10 = 30

and 3/10 < 30

Also b/c 1/10 < 10 and they are multiplied by the same value (3)

Step-by-step explanation:

multiply the negative of 2/3 by the inverse of 4/5​

Answers

- 10/12 or -5/6

Step-by-step

-2/3 × 5/4 = -10/12

OR

-10÷2/12÷2 = -5/6

hope this helps

Hi! Do any of you know the answer to this question? I’m struggling and I’m terrible at geometry. Plz help!

Answers

Answer:

8y-36x=16

Step-by-step explanation:

Dialating means you are multiplying or dividing. Since 2 is positive you multiply everything by 2, usually it would be coordinates, like if it said dialate (2,4) by 6 we would get (12, 24), but I didn't really want to have to solve the equation for the coordinates so try the answer I wrote, if not I am so so so sorry but at least now you know what dialating means.

A 12 mile walking trail has a distance marker ever 1/6 of a mile. How many markers are along the trail?

Answers

Answer:

72 markers along entire trail

Step-by-step explanation:

Divide 12 miles by 1/6 mile:

  12 miles

------------------------- = 72 markers

1 marker/6 miles

Drag and drop the numbers 1 - 9 into the empty
boxes to the right to create a right triangle with the largest area
possible (round to the nearest TENTH, if necessary).
Each number can only be used one time, and only one number
can be placed per empty box (there will be some unused
numbers).

Answers

Answer:

9 for the hypotenuse, [tex]\sqrt{64}[/tex] and [tex]\sqrt{25}[/tex] for the two legs

Step-by-step explanation:

For these types of problems, we need to make sure that the values of legs are as big as possible while keeping the hypotenuse larger than legs because otherwise, it won’t be a right triangle.  

So for the hypotenuse, we have to put the largest number in this number bank because the hypotenuse has to be larger than both legs. So the hypotenuse will equal 9. The rest is simple. Get the numbers as large as possible. Since the hypotenuse must be larger than both legs, we cannot use sqrt(81) and sqrt(64) (that would’ve been sweet). So we have to use sqrt(64) and sqrt(25) because sqrt(49) and sqrt(36) are already taken since we can only use a number once.

I'm not an expert at this and I cannot guarentee that this is correct. But I hope that this helps.

The circumference of a circle is 18 π π m. Find its diameter, in meters

Answers

Answer:

18 meters

Step-by-step explanation:

The circumference is given by

C = pi *d

18 pi = pi *d

Divide each side by pi

18 pi / pi = pi * d/pi

18 =d

Answer:

18 m

Step-by-step explanation:

C = π · d

18π = π · d

18 = d

43



































8/3 x ( -2 1/2)
What is the product

Answers

Answer:

−28x

Step-by-step explanation:

I PROMISE TO GIVE BRAINIEST BUT ONLY IF YOU GET IT RIGHT!!!!

Answers

Answer:

Step-by-step explanation:

use pythageran theorem

c=square root of a2+b2

but we are solving angle b

so

b2=c2-a2

b2=225-196

b2=29

b approximately = 5.39 Rounded up

Answer:

5.4

Step-by-step explanation:

c² = a² + b²

15² = 14² + b²

225 = 196 + b²

b² = 225 - 196

b² = 29

b = 5.4

2
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (2), which equation represents the
situation?
y = 75.2
By = 52
C y = 2
Dy = 152

Answers

Answer:

one board game cost 15 dollars

75/5=15

15y

y = number of board games and 15= the price of each board game

so to calculate any number of board games bought just input the number of board games bought for y in the expression 15y and you will get the price.

Step-by-step explanation:

In 1980, there were 1.2 million elephants living in Africa. Because the natural grazing lands for the elephant are disappearing due to increased population and cultivation of the land, the number of elephants has decreased by about 6.8% per year. In 1987, what was the population of elephants? Round up to the nearest elephant.

Answers

628800 elephants by 1987

Helppppppp ASP plsssss

Answers

Answer:

18cm3

Step-by-step explanation:

3x2x3=18

Length x Width x Height

Hope this helps plz like& brainly

Which of the following is likely to have the greatest variability? *
F. The cost of a piece of candy from a vending machine
G. The height of all the students at West Middle School
H. The age of all the students in the sixth grade
J. The number of days in a month

Answers

Answer:

G

Step-by-step explanation:

The most likely to have the greatest variability is,

⇒ The height of all students at West Middle school.

What is an expression?

A Mathematical expression is defined as collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division

Now, We know that;

Greatest variability is large spectrum of possibilities.

Hence, We get;

The costs of candy from vending machine are going to be about the same price because they are all candy, so that does not vary much more.

And, The age of all the students in the sixth grade is going to be about the same because they are in the same grade.

Since, The number of days in a month is usually 31 or 30, so that also does not vary much.

This means, it has to be the height of all the students at West Middle school because it is a middle school so there are 3 different grades each having many students. This means that it will have the greatest variability.

Thus, The most likely to have the greatest variability is,

⇒ The height of all the students at West Middle school

Learn more about the mathematical expression visit:

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If events A and B are independent, P(A) = 0.62, and P(
BA) = 0.93, what is P(B)?
O 0.41
O 0.93
O None of the other answers are correct
O 0.58
O 0.67

Answers

Answer:

Step-by-step explanation:

you’re given A=0.62 and B/A=0.93

you’re solving for B

substitute your A value of 0.62

B/0.62=0.93

same as B/0.62=0.93/1

now cross multiply

B= 0.62x0.93

B=0.5766

B=0.58

What is the correct way to write slope
intercept form?
y = m + b
y = m + bx
y = mx + b
y = x + b

Answers

Answer:

y = mx + b

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

y = mx + b

Step-by-step explanation:

y = mx + b is the correct way to write slope intercept form.


15 is which percent of 30?
A. 450%
B. 200%
C. 50%
D. 1/2%
E. 2%

Answers

Answer:

answer: 50%

Step-by-step explanation:

The answer is 50% because 15 is half of 30 because 15 + 15 = 30 so 15 is half of 30 50%

Answer is C. 50%
The answer is C because
30-15= 15

How would you solve y=3/4x+9

Answers

Answer: i took a screen shot of the answer hope this helped

plz make brainly

Step-by-step explanation:

You are at a bookstore and you are allowed to buy 9 books. You have already selected 3 books. Find the possible amount of books you can still select.

Answers

Answer:

6

Step-by-step explanation:

9 - 3 = 6

Toby and Ahmed are eating pizza. Toby eats 1/2 of the pizza and Ahmed eats 1/4 of the pizza. How much of the total pizza have they eaten? 1 point

Answers

Answer:they have eaten 3/4 of the total pizza

Step-by-step explanation:

Let the whole pizza =1whole

Amount eaten by Toby =1/2

Amount eaten by Ahmed =1/4

Total Amount eaten by both of them =1/2 +1/4 =  2+1/ 4=3/4

Therefore, they have eaten 3/4 of the total pizza

Use a formula to find the amount of wrapping paper you need to wrap a gift in the cylindrical box shown. You need to cover the​ top, bottom, and all the way around the box. Use 3.14 for .

Answers

Answer:

Total wrapping paper need = 960.84 inch²

Step-by-step explanation:

Given:

Height of cylinder box = 8 inch

Radius of cylinder box = 9 inch

Find:

Total wrapping paper need

Computation:

Total wrapping paper need = Total surface area of cylinder

Total surface area of cylinder = 2πr(h + r)

Total wrapping paper need = 2[3.14][9][8+9]

Total wrapping paper need = 2[3.14][9][17]

Total wrapping paper need = [6.28][9][17]

Total wrapping paper need = [56.52][17]

Total wrapping paper need = 960.84 inch²

What is the
range of the function on the graph?

Answers

All real numbers.....

Help Please!!!

A group of friends are going to a local pizzeria. One medium pizza costs $12.50. The friends spent less than $55. They purchased two pitchers of soda for a total of $8.99. How many medium pizzas could the group purchase? Write and solve an inequality. Show your work.

Answers

Answer:

8.99 + 12.50x < 55 and x = 3

Step-by-step explanation:

The cost of their pitchers of soda ($8.99) and the cost of x number of pizzas ($12.50x), is less than 55.

essay on kim jong un

Answers

Answer:

Step-by-step explanation:

From late 2010, Kim Jong-un was viewed as successor to the leadership of North Korea. Following the elder Kim's death in December 2011, state television announced him as the "Great Successor". Kim holds the titles of General Secretary of the Workers' Party of Korea,[7] Chairman of the Central Military Commission, and President of the State Affairs Commission. He is also a member of the Presidium of the Politburo of the Workers' Party of Korea, the highest decision-making body. In July 2012, Kim was promoted to the highest rank of Marshal in the Korean People's Army, consolidating his position as Supreme Commander of the Armed Forces. North Korean state media often refers to him as "the Marshal" or "Dear Respected Leader". He has promoted the policy of byungjin, similar to Kim Il-Sung's policy from the 1960s, referring to the simultaneous development of both the economy and the country's nuclear weapons program.

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