A rectangular prism is 15 inches long, 8 inches wide, and 6 inches high. What is the volume of a pyramid that has the same height as the prism.

Answers

Answer 1

Answer:

[tex]240 in^3[/tex]

Step-by-step explanation:

I'm assuming the pyramid base has to fit the prism, else the answer would be "as big as you want.

Now if you compare the formulas for the volume of a pyramid and a prism, you notice that the only difference is a factor of 1/3 (it will take 3 pyramids to fill a prism).

Volume of the prism is the product of the sides, ie [tex]15\cdot8\cdot6 = 720 in^3[/tex]. Volume of the pyramid will be 1/3rd of that, or [tex]240 in^3[/tex]


Related Questions

Four climbers climb four different mountains , climber 1 climbed 1 14/ 25 miles, climber 2 climbed 1.55 miles, climber 3 climbed 33/20 miles , and climber 4 climbed 24/15. What is the range of the heights?

Answers

Step-by-step explanation:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

A farm has a small water tank with a diameter of 10 feet and a height of 4 feet. What is
the lateral surface area of the water tank?
40 square feet
125.6 square feet

Answers

B is the answer luv

how many cherries pies to 60 to 89 cherries 90 to 119 cherries?

Answers

Answer:

6

Step-by-step explanation:

i tried 7 and it didn't work

so i used a hint - it's 6!

6 pies are more in 60 to 89 cherries than 90 to 119 cherries, a bar graph is a graphical depiction of information, amounts, or numbers using bars or strips.

What is the bar graph?

They are employed to contrast and compare various data kinds, frequencies, or other measurements of several categories of data.

here, we have,

The calculation of the bar graph in the given question.

For 60 - 89 cherries there are 10 pies

For 90 -119 cherries there are 4 pies

10 -4 = 6  pies

The image for the graph is attached below.

When displaying sections of data, bar charts should be used. As long as there aren't too many categories to compare, vertical bar charts can be useful for comparing several categories or discrete data, such as age groups, classes, schools, etc. They are quite helpful for time series data as well.

Therefore, there are 6 more pies in the 60 -89 cherries category than in the 90-119 category.

Learn more about bar graphs, here:

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solve for all real numbers of x. x^2+4=0

Answers

Answer:

x = -2i, 2i

Step-by-step explanation:

x² + 4 = 0

    -4     -4

x² = -4

x = 2i, -2i

I hope this helps!

Solve the system by substitution.
{-2.5x+y=13.5
12.25x - y=-12.25

(-5.1)

(-1,5)

(1.-5)

(5.-1)

Answers

Answer:

(-5,1)

Step-by-step explanation:

   

y= 13.5+2.5x

-13.5 -13.5

-13.5= 2.5x

x= -5.4

Anyone know how to do??

Answers

Answer:

x = 1

Step-by-step explanation:

...................

Answer:

1

Step-by-step explanation:

Step 1:

3x + 11 = 5x + 9     Sum of a line

Step 2:

11 = 2x + 9      Subtract 3x on both sides

Step 3:

2 = 2x      Subtract 9 on both sides

Answer:

x = 1        Divide

Hope This Helps :)

What is the slope of a line perpendicular to the line whose equation is 4x – y = 9

Answers

Answer:

- [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x - y = 9 ( subtract 4x from both sides )

- y = - 4x + 9 ( multiply through by - 1 )

y = 4x - 9 ← in slope- intercept form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

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What is the PERIMETER of a square with side length 3 cm?

Answers

Answer:

12

Step-by-step explanation:

Perimeter is using addition and if its a square, all of the sides are the same.

If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm

Answer:

12

Step-by-step explanation:

A square with 3cm long side

Area = 2 sides multiplied

Perimeter = All sides added

3 + 3 + 3 + 3 = 12cm

or

3 × 4 = 12cm

The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying x pound of broccoli. Which equation represents the situtation?

Answers

Answer: y=1.25x

Step-by-step explanation:

i got it right

Answer: y=1.25x, which equation represents the situtation.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, given that,

The price of broccoli is $1.25 per pound.

Let, y be the total cost in dollars of buying x pound of broccoli.

Hence, equation represents the situtation is y=1.25x.

To learn more on equation click:

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Select all the correct answers.
martha works at a small jewelry store. she designs 2 rings in the first hour. every additional hour, she designs 3 new rings.

select all the functions that can be used to find the number of rings, r(n), she designs in n hours.

Answers

Answer:

26

Step-by-step explanation:

If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.

What is the answer for 2y=6

Answers

Answer:

y = 3

Step-by-step explanation:

Divide each side by 2 to cancel out the 2 next to y. It should now look like this: y = 3

I hope this helps!

Answer:

y = 3

Step-by-step explanation:

6/2 equals 3, and since 2 times 3 equals 6, y is the answer for this problem.

Can someone help me with this?​

Answers

it's C since it also has 4 elements

You are given a triangle that has sides 5 7 ad 10 how large is the smallest angle of the triangle

Answers

Answer:

Step-by-step explanation:

Comment

This uses the cosine Law for line length.

Formula

a^2 = b^2 + c^2 - 2*b*c*sin(A)

Givens

a  = 5

b = 7

c = 10

Solution

5^2 = 7^2 + 10^2 - 2*7*10*cos(A)

25 = 49 + 100 - 140*cos(A)                  Combine the right side

25 = 149 - 140 * cos(A)                         Subtract 149 from both sides

25 - 149 = - 140*cos(A)                    

-124 = -140 * cos(A)                               Divide both sides by -140

-124/-140 = cos(A)

Cos(A) = 0.8857                                   Take the inverse Cos of both sides

A = cos-1(0.8857)

Answer

A = 27.66 degrees

The distance around a triangle is 30 centimeters. if two sides are equal and the length of the third side is 8 centimeters, what is the length of each of the other two sides?

Answers

Answer: 11 cm

Step-by-step explanation:

The diagram shows a regular octagon. Dennis drew diagonals from vertex A to all other non adjacent vertices. what is the measure of HAF?

Answers

Answer:

A 45degrees

Step-by-step explanation:

Describe the shape of the data set (symmetrical, skewed, etc.) (statistic)

Answers

Answer:

Skewed left

Step-by-step explanation:

The outlier extends the curve making it skewed left is what i think

The product of three different whole numbers is 40. What is the largest possible sum of the 3 numbers

Answers

Answer:

23

Step-by-step explanation:

20*2*1=40

20+2+1=23

What is the value of x?

Answers

3 equal angles

so the triangle is equilateral => 3 equal sides

4x-10 = 3x+2

x = 12

or

4x-10 = 5x-22

-x = -12

x = 12

or

5x - 22 = 3x + 2

2x = 24

x = 12

x = 12

Answer:

The value of x = 12

Step-by-step explanation:

This is an equilateral triangle and the sides of an equilateral triangle are equal .

By putting the two sides of the triangle equal , we can find out the value of x

=> 4x - 10 = 3x +2

=> 4x - 3x = 2 + 10

=> x = 12

makayla has 90 minutes to answer 36 questions on a school survey. how many mins per question does she have

Answers

Answer:

2.5 minutes per question

Step-by-step explanation:

90 mins/ 36 questions equals 2.5 mins per question

Makayla would have about 2.5 minutes for each individual question

Please help! I have more questions like this!

Answers

Answer:

2-2i√3=4(1/2-√3/2i)=4e^j(5π/3)

4^4=256

e^4j(5π/3)=e^j(20π/3)=e^j(2π/3)

polar form: 256 cis (2π/3)

rectangular form: −128+128i√3

hope this helped, if you still need help lmk

The line passing through which two ordered pairs would be perpendicular to the equation y = 4x - 1?

(-4, 7) and (-1, -5)
(4, 2) and (8, 1)
(1, -3) and (2, 1)
(-8, -4) and (0, -2)

Answers

Answer:

i'm pretty sure it is (1,-3) and (2,1)

What value for a would make the equation true? Type in only the numerical answer or value.

Answers

Answer:

a = 3

Step-by-step explanation:

Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.

In either case, you get the following equation:

8(2a-1) = 4(a+7)

Open the parenthesis

16a - 8 = 4a + 28

Subtract 4a from both sides

12a - 8 = 28

Add 8 to both sides

12a = 36

Divide both sides by 12

a = 3

Sorry for weird formatting I'm on an ipad.

Answer:

Your answer is: A = 3

Solve for  a  by cross multiplying.

Step-by-step explanation:

Hope this helped : )

help me pls pls pls pls pls pls pls

Answers

In the top row, first column the answer is D) Ray RQ and Ray RS. Opposite rays point in complete opposite directions. When joined, opposite rays form a line.

-----------

In the top row, second column, the answer is B) S, T, U. We're naming three points that all fall on the same line.

===============================================

In the bottom row, first column, the answer is A) Point. An example of this is the diagram in the bottom right corner. The lines WV and XZ intersect at the point Y.

-----------

Finally, in the bottom row, second column, the answer is D) Ray YW and Ray YV. Like with the first problem, we're listing two rays that when joined, form a straight line. They point in complete opposite directions. The order matters when it comes to naming a ray. The first letter tells us the endpoint and the second letter tells us where the ray points and goes on forever.

Determine the value of x in each diagram

Answers

answer is 45 ( x = 45 ) yes or no

Graph the pair of lines and use their slopes to determine if they are parallel, perpendicular, or neither.

Answers

Well they have to  be perpendicual because they cross and parallel means that they are like lines on lines paper, they do not cross, they just keep going. Hope this helps :)

Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half The common denominator is 8. Write each fraction using the common denominator: Three-eighths and One-eighth Compare the numerators: 3 > 1 Write the correct statement: Three-eighths > One-half Where did Colleen make her first mistake?

Answers

This question is Incomplete

Complete Question

Colleen compared the ratios 3:8 and 1/2.

Her work is shown below.

Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8

B. The numerators are compared incorrectly.

C. The fraction 1/2 should have been rewritten as 6/8

D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

D. The fraction 1/2 should have been rewritten as 4/8.

Step-by-step explanation:

Colleen compared the ratios 3:8 and 1/2.

Step 1

Write the ratios as fractions: 3/8 and 1/2

Step 2

Compare the numerators: 3 > 1

Step 3

Compare the denominators 8 >2

Write the correct statement:

3/8 > 4/8

Therefore, D. The fraction 1/2 should have been rewritten as 4/8.

find value of x, giving reasons

Answers

Answer:

=> x = 2.4

Step-by-step explanation:

By using PGT

=> (5+x)² = 7²+x²

=> 5² +x² +2(5)(x) = 49+x²

=> 25 + x² + 10x = 49 +x²

=> 10x = 49-25

=> 10x = 24

=> x = 24/10

=> x = 2.4

Polygon ABCDE is reflected across the line x = −2. Graph and label the image A’B’C’D’E’. Is m∠A = m∠A’? Explain. Construct the line of reflection and then construct the image. Select a point to add a label.

Answers

Answer: See graph and proof below

Step-by-step explanation:

Under the reflection about the line x=-2

[tex]\begin{aligned}&A(-4,4) \longrightarrow A^{\prime}(0,4) \\&B(-3,3) \longrightarrow B^{\prime}(-1,3) \\&C(-3,2) \longrightarrow C^{\prime}(-1,2) \\&D(-5,1) \longrightarrow D^{\prime}(1,1) \\&E(-5,3) \longrightarrow E^{\prime}(1,3) \\&m < A=m < A^{\prime} \text { is true. }\end{aligned}[/tex]

Find the value of X
/)/)/))/):):

Answers

Answer: 16

Step-by-step explanation:

15 equals 1/3 x x = please please help

Answers

Answer:

x = 45

Step-by-step explanation:

15 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

45 = x

Answer:

x = 45

Step-by-step explanation:

15 =  x

15(3)=x

45=x or x=45

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