What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?

Question 23 options:

A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship

Answers

Answer 1

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.


Related Questions

Help me please Asap

Answers

Answer:

it is the last one {-4, -1, 0, 1, 2}

Step-by-step explanation:

HOW TO FIND A FRACTION OF THE ENGLISH ALPHABET IS A SET OF CONSENENTS

Answers

Answer:

21/26

Step-by-step explanation:

In the simplest categorization, English has 26 alphabets. Out of which, 5 are vowels and rest 21 are consonants.

so the fraction would be 21/26

What is 4t - t + 2=This is in combinding terms into equvilent equations

Answers

Answer:

=3t+2

Step-by-step explanation:

if you ONLY solve the equations the answer is (3t+2) but if you evaluate the equation and the answer together it's (9t+8). So which ever answer you were looking for there's two different choices for two different ways.

(you're welcome, and hope this helps) :)

What were two impacts of the first great depression?

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: unemployment (more homeless people)

2: House prices rose down drastically by 70%.

(My sources: TheBalance.com)

4x(3x - 1) - 2(3x + 1) - (x + 3)

Answers

Answer:

[tex]12x^{2} -11x-5[/tex]

Step-by-step explanation:

1) Distribute

[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]

2) Distribute

[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]

3) Distribute

[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]

4) Subtract the numbers

[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]

5) Combine like terms

[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]

Rachel earns $42,000 per year. Find how much she would make if she was paid weekly, semimonthly, and monthly.

Answers

Answer:

in a monthly shy much $3500

in a weekly she much $807.69

Step-by-step explanation:

Answer:

Below! : )

Step-by-step explanation:

$3,500 monthly

$807.69 per week

$1,615.38 biweekly

Hope this helps! : )

Which number line represents all of the values of x for the equation x2 = 36?

Answers

Answer:

D

Step-by-step explanation:

How does value of a affect the
parabola?

Answers

The parabola appears wider when |a| >1, the parabola appears thinner

When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards

Step-by-step explanation:

brainliest?

the difference between 4x and 2x is 70. Find the 2x​

Answers

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

hi can anybody help thx!

What is the volume of air in a lab of dimensions 8 mx 5 m x 3 m?

What is the mass of the air? (Density of air = 1.3 kg/m3)

Answers

Answer:

Volume of air = 120 m³

Mass of air = 156 kg

Step-by-step explanation:

Volume of air in a lab of dimensions,

= 8 x 5 x 3

= 120 m³

Mass of the air ?

Given : Density of air = 1.3 kg/m³

Formula : -

Density = Mass / Volume

Mass = Density x Volume

= 1.3 x 120

Mass = 156 kg

Find the distance between parallel lines whose equations are y = x - 6 and y = x + 8.

Answers

Answer:

14

Step-by-step explanation:

Distance between y2 = x + 8 and y1 = x - 6

y2 - y1 = (x + 8) - (x - 6) = 14

Foundation Geometry
midpoint of AC

A. 18
B. 6
C.27
D.54

Answers

Answer:

D

Step-by-step explanation:

Since B  is the midpoint of AC , then

AB = BC , substitute values

4x + 3 = 3x + 9 ( subtract 3x from both sides )

x + 3 = 9 ( subtract 3 from both sides )

x = 6

Then

AC = AB + BC

     = 4x + 3 + 3x + 9

     = 7x + 12

     = 7(6) + 12

     = 42 + 12

    = 54 → D

In January, 1950, the minimum wage was $.75. What should the minimum
wage be in July, 2009?

Answers

Answer:

On July 24, 2009, the federal minimum wage will increase to $7.25 per hour. This is the final step of a three-step increase passed in 2007 when the minimum wage was only $5.15. In this last step, about 4.5 million workers will receive a raise, providing an additional $1.6 billion annually in increased wages. However, when adjusted for inflation, the new federal minimum is still less than the minimum wage through most of the period from 1961 to 1981.

Step-by-step explanation:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile
b.1/32
c. 3/16
d. 1/8

Answers

1/16 mile

3/4 = 12/16

1/8 = 2/16

12/16 + 2/16 = 14/16

1/16 Mile left to walk

Hayami has to walk her bike Option A) 1/16 mile to complete the loop.

Hayami rode a total of 3/4 + 1/8 = 7/8 mile before getting a flat tire. To complete the loop, she needs to cover the remaining distance of the loop, which is

= 15/16 - 7/8

= 15/16 - 14/16

= 1/16 mile.

Thus, Hayami has to walk her bike 1/16 mile to complete the loop. Therefore, the correct answer is 1/16 mile.

To find out how far Hayami has to walk her bike to complete the loop, we need to calculate the remaining distance after she rode her bike before stopping for a rest and getting a flat tire.

1. First, we calculate the distance Hayami rode before stopping for a rest:

  She rode 3/4 mile.

2. Then, we calculate the distance she rode after stopping for a rest but before getting a flat tire:

  She rode 1/8 mile.

3. Now, let's find out the total distance she rode:

  = 3/4 + 1/8

  = 6/8 + 1/8

  = 7/8 mile.

4. The length of the loop is \(15/16\) mile.

5. To find the remaining distance to complete the loop, subtract the distance she rode from the total loop length:

  = 15/16 - 7/8

  = 15/16 - 14/16

  = 1/16 mile.

6. Therefore, Hayami has to walk her bike 1/16 mile to complete the loop.

In conclusion, the correct answer is 1/16 mile (Option A).

To know more about Distance here

https://brainly.com/question/28747400

#SPJ3

Complete Question

Choose the correct answer from the given options:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile

b.1/32 mile

c. 3/16 mile

d. 1/8 mile

Which of the following relations is a function?

O {(9,0), (10,3), (11, 6), (11, 9)}
O {(1, 1), (1, 2), (1, 3), (1,4)}
O {(1, 3), (2, 10), (6, 24), (24, 6)}
O {(0,6), (-1, 10), (-1, 14), (-3, 18)}

Answers

Answer:

O {(1, 3), (2, 10), (6, 24), (24, 6

q
1
y=qx
P
Write x in terms of p, q and y.

Answers

Answer:

x = [tex]\frac{y}{pq}[/tex]

Step-by-step explanation:

y = pqx ( isolate x by dividing both sides by pq )

[tex]\frac{y}{pq}[/tex] = x

Pretty please help me with answering with the right answer? 100 points will be given and brainliest! NO LINKS

Answers

Answer:

last and second answer

Step-by-step explanation:

Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
g(x)=f(x) + 12
IDEE
Select the correct choice below, and fill in the answer box to complete your choice.
O A. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
OB. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
OC. The graph of g(x) is translated unit(s) down compared to graph of f(x).
OD. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O E. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
O F. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O G. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O H. The graph of g(x) is translated unit(s) up compared to graph of f(x).

Answers

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361

The price of a baseball card began at $5.00. A collector marked the price up 500% and is reselling the card online. What is the new sales price of the baseball card?

Answers

Answer:

25.00

Step-by-step explanation:

5.00 x 500% = 25

Please help me oh me a lot to me and you get a lot of points I think

Answers

Answer:

A. 0.2, 0.25, 0.2

B. the scores are a quarter of the whole

Answer:

so the three numbers can be turned into fractions.

1/5, 1/4, and 4/20.

fractions can be turned into decimals by dividing the denominator into the numerator.

now we have 0.2 , 0.25 , and 0.2

greatest to least, the numbers are 0.25 , 0.2 , and 0.2

(both 0.2s are equal, so order of those doesn't matter)

Step-by-step explanation:

⅕ of shots

Dwayne 25%

4 out 20

Write each score as decimal

Compare the three score.

You spent a total of $63. How much will pay in 6% tax?

Answers

Answer:

You will pay $3.78 in tax. And you would pay a total of $66.78

Step-by-step explanation:

Answer: $3.78 or $66.78 if you are looking for the total amount including tax.

Step-by-step explanation:

6% can be represented by 0.06 so multiply that by 63

63*0.06=3.78

You will pay $3.78 in taxes

The total is 66.78 but I think you are asking for the tax.

Kira is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $35 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $42 and an additional 50 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.

Answers

Answer:

m < 0.7

Miles less than 0.7

Step-by-step explanation:

Company A: 60m + 35

Company B: 50m + 42

60m + 35 < 50m + 42

60m - 50m < 42 - 35

10m < 7

m < 7/10 (0.7)

Mr. Fullerton sold half of his “Captain Underpants” comic books and then bought sixteen more. He now has 36 “Captain Underpants” all together. How many comic books did he begin with?

Answers

Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

Date 3) Paula baked two batches of chocolate chip cookies. She used 3 cups of flour for the first batch of cookies and 2 cups for the second batch. What fraction of flour was used to make the first batch of cookies?​

Answers

Answer:

3/2

Step-by-step explanation: I took the test

Simplify by collecting like terms
r^+5r+3r^-2r

By the way
^= square

Ill also attach a photo, thankssss!

Answers

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

r² + 5r + 3r² - 2r = r² + 3r² + 5r - 2r

                          = 4r² + 3r

PLEASE HELP NOW
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+6=5(x-3)
2

Answers

Answer:

answer is 21= 5x- y

Step-by-step explanation:

y+6=5(x-3)

y+6=5x-15

y = 5x-15-6

y = 5x-21

rearrange this equation as formAx+By=C

5X - y = 21

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

I think it's the 3rd or fourth one. I'm not positive tho

What is the value of r?

Answers

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams

Answers

Answer: 1 slice is 9 grams

If 3 is 27 to find one slices you need to dived by 3.

3 slices divided by 3 slices is one slice.

27 grams divided by 3 is 9

So one slice is 9 grams

can someone answer this?

Answers

Answer:

324 ft²

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 18 = 1 : 6

ratio of areas = 1² : 6² = 1 : 36

That is the area of the larger parallelogram is 36 times the smaller

area of larger parallelogram = 36 × 9 = 324 ft²

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