A rectangular pyramid and a rectangular prism have the same length, width, and height. If the volume of the rectangular pyramid is 75 cubic centimeters, what is the volume of the rectangular prism in cubic centimeters?

Answers

Answer 1

Answer:

225 cubic centimeters

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is V = (1/3)Bh, where B is the area of the base and h is the height. The base of the rectangular pyramid is a rectangle with the same length and width as the rectangular prism. Let's call the length, width, and height of both shapes "l", "w", and "h", respectively. Then:

V_pyramid = (1/3)B_pyramid * h

75 = (1/3)(lw) * h

We also know that the rectangular prism has the same length, width, and height as the rectangular pyramid, so its volume can be calculated using the formula V_prism = lwh:

V_prism = lwh

V_prism = lwh = l * w * h

Since l = w = h in this case, we can simplify this to:

V_prism = l * w * h = l^3

We can use the equation for the volume of the rectangular pyramid to solve for h:

75 = (1/3)(lw) * h

225 = lw * h

h = 225/(lw)

Substituting this value for h into the equation for the volume of the rectangular prism gives:

V_prism = l^3 = l * w * (225/(lw))

V_prism = 225 cubic centimeters

Therefore, the volume of the rectangular prism is 225 cubic centimeters.


Related Questions

4) Necolai reported his weekly earning for the first four weeks as $87, $105, and $125.

A) How much does he have to earn in the fifth week to achieve an average of $130 per
week? Show and explain all of your work.

B) After five weeks of his earning, he has to pay 28% in taxes. How much were the
taxes? How much of his total pay does he have left after taxes? Show and explain all
of your work.


ANSWER BOTH QUESTIONS QUESTION A AND QUESTION B.

Answers

Answer: A) $333

B) $468

Step-by-step explanation:

A) First we multiply. 130x5=650 Now we know that we have to get $650 total in 5 weeks in order to get an average of $130 per week.

87+105+125=317

650-317=333

Necolai has to earn $333 the fifth week to achieve an average of $130 per week.

B) 28% of 650 = 182

Now subtract the taxes from his earnings. 650-182=468

Necolai has $468 of his total pay after taxes.

Question A:
To find how much Necolai has to earn in the fifth week to achieve an average of $130 per week, we have to use the concept of mean.

The average of five weeks' earnings should be $130. Therefore, the sum of his five-week earnings should be:

5 * 130 = 650

Necolai's total earnings for the first four weeks are:

87 + 105 + 125 + x (earning in the fifth week) = 317 + x

317 + x + y = 650

where y represents his earnings in the fifth week. Solving for y, we get:

y = 650 - 317 - x
y = 333 - x

So, Necolai has to earn $333 in the fifth week to achieve an average of $130 per week.

Question B:
After earning $87, $105, $125, and x dollars (from the third week), Necolai’s total earning are $317 + x. After 5 weeks, Necolai has to pay 28% in taxes, which means he gets to keep 72% of his earnings.

The taxes are calculated as:

Taxes = 0.28 * (317 + x)
Taxes = 88.76 + 0.28x

Therefore, the taxes he has to pay after five weeks are $88.76 + 0.28x.

The portion of his total earnings that he keeps after taxes is:

Total earnings - Taxes = (317 + x) - (88.76 + 0.28x)
Total earnings - Taxes = 228.24 + 0.72x

Therefore, after paying taxes, Necolai is left with $228.24 + 0.72x of his total earnings.

can somebody please help me on these 4 questions i don't get it. i just need the answer i dont need the work PLLLSSSS ITSSS URGENTTTTT

Answers

Answer: Sorry if I'm wrong, but I believe it is:


Red Shape:  14.5 sq in.

Blue Shape: ≈236.75 sq ft.

Yellow Shape: 132 sq cm.

Purple Shape: 89 sq m.

Step-by-step explanation:

Red Shape: Find area of triangle, then subtract the square.  (5+4)(5)/2=22.5 22.5-8=14.5

Blue Shape: Find the semicircle area, then the rectangle in the middle.

Yellow Shape: Find area of trapezoid, then add area of rectangle.

Purple Shape: Find area of rectangle and subtract area of triangle.

 

Here’s the picture for the question below

Answers

i hope this helps you.

actually you just need to know the formula of area  which is 1/2 × base x height this is area and for perimeter just everything the lengths of the sides of the triangle .

the slanted triangle qns. like (e) the height is always outside the triangle

1. there is a box of supplies on the end of a rope that is on a pulley. The pulley has a radius of 1/4 foot.

A . How far can you move the box of supplies in 8 rotations of the pulley? Show and explain all of your work

B. How far can you move the box of supplies in 8 rotations if the radius of the pulley is doubled? Show and explain all of your work.

Answers

Answer:

to put it simply it's a pretty easy question and it's b

ASAP ON A CALL Brainliest IF CORRECT

A spinner is spun twice with 3 equal sections colored orange, red, and purple. What is the P(spinning one Red and one Purple)?

Answers

Answer:

P(red) = 1/3

P(purple) = 1/3

P(red, then purple) = (1/3)(1/3) = 1/9

P(purple, then red) = (1/3)(1/3) = 1/9

P(red and purple) = 1/9 + 1/9 = 2/9

Please helppppppppppppp

Answers

Answer: B

Step-by-step explanation: stop playin !

I believe the answer is b.



Brainlist pls

I need help on this question

Answers

Answer:

D 64.5 square centimeters

Step-by-step explanation:

the hexagon can be divided into 6 identical triangles with base 5cm and height 4.3cm

Area of the hexagon:

(5 x 4.3 /2) x 6 = 64.5

The answer is is D.
2023

Can someone help me asap I will make you the brainliest

Answers

Add all of them together, you get 40 then divide by 8 because there are heights listed then the mean height is 5

Answer is 5

Solve for b.











Answers

Answer:

[tex]b=\frac{3}{5}[/tex]

Step-by-step explanation:

Solve for b:

[tex]\frac{4}{3}b=\frac{4}{5}[/tex]

Divide 4/3 on both sides

[tex]b=\frac{3}{5}[/tex]

when you solve this b would equal 3/5.
hope it helps :))

Here’s a box plot that summarizes the number of cupcakes eaten by contestants at a cupcake-eating contest. Find the interquartile range (IQR) of the data?

Answers

Answer:16

Step-by-step explanation:

First you find the Lower quartile, which in this case is 6. Then you find the Upper quartile ,which here is 22. You then subtract the two which gives you your Interquartile range (IQR).

PLLSSS HELP IT IS SIMPLE VOLUME OF RECTANGULAR PRISM

Answers

Answer: 396

Step-by-step explanation:

Find The Area Of The Shape
(if you help, I will brainliest you!)

Answers

Answer:

1020

Step-by-step explanation:ddo the area with both triangles then multiply

Answer: 1020

Step-by-step explanation:

Please help!! Giving away 10 points 4 this‼️

Answers

Answer:

D) since -2 is to the left of 1, -2 < 1.

Step-by-step explanation:

The Answer is D)
U are welcome

Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.

A. 5 × 3 = 15

B. 1/5 × 1/3 = 1/15

C. 1/5 × 3 = 3/5

D. 5 ÷ 1/3 = 15

E. 1/3 ÷ 5 = 1/15

Answers

Answer:

A and D

Step-by-step explanation:

One pear is split into thirds. That means that one pear can become 3 slices. Because you have 5 pears, you have 15 slices. By multiplying 3 (slices) and 5 (pears), we receive the answer of 15 slices.

The answer is A and D.

Step-by-step explanation - Kylie brought 5 pears to practice. Because she cut each of them into thirds, this means that each pear equals 3 slices - therefore making the equation 5 x 3 = 15 and also making the equation 5 ÷ 1/3 because them two both equal 15.

Garret is designing a poster for a school project. He wants to paint the edge of the poster using gold paint. The rectangular poster has a length of 24 inches and a width of 18 inches.

What is the perimeter of the poster?

Answers

Answer:84

Step-by-step explanation:

24+24+18+18=84

84 explanation 24+24+18+18 = 84

A Company Is Desinging A New Cylindrical Water Bottle.

Answers

Answer:

The answer is 28

Step-by-step explanation:

answer is 28
i only knew that because i just copied the other person’s answer

This is due please help ASAP

Answers

Answer: a= 12.34 b= 1.83 c=26.98

Step-by-step explanation: a= y intercept b= slope c= slope*8 + y-int

The following system of linear equations is shown in the graph.

y equals one fourth times x minus 1
x − 4y = 4

a coordinate plane with two lines that pass through the points 0 comma negative 1 and 4 comma 0

How many solutions does the system of linear equations have?

No solution
Infinitely many solutions
One solution at (4, 0)
One solution at (0, −1)

Answers

The system of linear equations is given as:

y = 1/4x - 1

x - 4y = 4

To find the solution, we can substitute y in the second equation with 1/4x - 1:

x - 4(1/4x - 1) = 4

x - x + 4 = 4

4 = 4

The equation 4 = 4 is always true, which means that the system of linear equations has infinitely many solutions.

Therefore, the answer is:

Infinitely many solutions.

Which best compares and contrasts the teaching and training careers and the professional support careers?

Both careers try to support student success; however, teaching and training careers involve direct instruction of students.
Both careers help students learn; however, teaching and training careers are involved in running the school.
Both careers are increasing the number of available jobs; however, professional support career earns less money.
Both careers have support careers; however, professional support careers assist in the classroom.

Answers

Answer:

Both careers try to support student success; however, teaching and training careers involve direct instruction of students.

Answer Explanation:

Professional support careers help people involved in education and training systems with personal and family needs,  educational goals, mental health assistance, and career decision-making. They provide support and encouragement to students undergoing challenging experiences. Professional support career titles include counselors and Psychologists, among others.

Teachers and trainers offer instructions to students in the class or other conducive places. They help students complete their syllabus, learn the intended materials, acquire knowledge, and pass their examinations.

Both careers try to support student success; however, teaching and training careers involve direct instruction of students.
So I think you already have the explanation.Hope this helps:)

Due today please help me its angles and transversals

Answers

Awh man I wish I could help but I have no idea what the answer is I’m really sorry I tried Noodle OUT

I hope it will help you. Please mark me as brainliest if you got your answer

help me pleaseeeeeeee

Answers

Answer:

280/12 = 23.33

Step-by-step explanation:

Do the top one first and divide it by the bottom

Answer:

70/3

this is the answer I hope it helps u!! :D

The least common denominator of 3/2 and 2/3 is ___.




A) 3
B) 6
C) 12
D) 2

Answers

I think the answer is B) 6 because if u work out 2x3 that equals six and 3x2 equals six.

50 points mathamatics PLEASE ANSWER ASAP DUE TOMMOROW

Answers

Answer:

87

Step-by-step explanation:

the answer is 73.33 inches total

Mr.Blair has 24 students in his class. Students sit in tables of 4. Mr.Blair gives each table 8 sheets of paper how much paper did mr.Blair give out

Answers

Answer:

48 sheets of paper

Step-by-step explanation:

24÷4=6

6×8=48

48 pieces were given out to them

pls help me i cant get it

Answers

Answer:

33 units²

Step-by-step explanation:

Easiest way to approach this is to find the area of the rectangle, then subtract the area of the triangle.

Rectangle Area = length x width = 7 x 6 = 42

Area of triangle = 1/2bh = 1/2(6)(3) = 9

Area of the shaded figure = 42 - 9 = 33 units²

NO FAKE ANSWER
27 POINTS

Answers

Answer: 63 square inches

You go to the ice cream shop with your friends and you can choose an ice cream, a topping and sprinkles. How many different sundaes can you make when you order one flavor of ice cream, one topping and one color of sprinkles from the chart below? Show all possible outcomes in a tree diagram. SHOW ALL YOUR WORK




Ice Cream
Topping
Sprinkles
Chocolate



Vanilla
Strawberry
Fudge

Marshmallow
Chocolate
Rainbow

Answers

Answer:

There should be 9 possible outcomes, your question's information was a bit confusing on which were the flavors and the topping and color of sprinkles. Obviously, if this doesn't apply to your question, you can use it as a guide. Just multiply how many things are together and you can get the number of possible outcomes.

9 Possible Outcomes should be the answer

what is the equation and answer

Answers

Answer:

3g+35=46.40

g=3.8

Step-by-step explanation:

A photographer’s darkroom needs a new coat of black paint on all surfaces of the room, including the ceiling and the floor. The room is a cube with edge length 11
feet. How much surface area must be painted?

Answers

The surface area of a cube is given by the formula 6s^2, where s is the length of the edge. In this case, s = 11 feet, so the surface area of the cube is:

6s^2 = 6(11)^2 = 6(121) = 726 square feet

Since the room has six surfaces that need to be painted (four walls, one ceiling, and one floor), the total surface area that needs to be painted is:

6 x 726 = 4356 square feet

Therefore, the photographer's darkroom needs to have 4356 square feet of black paint applied to all of its surfaces.

726 I believe

Brainlist pls

A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece?



HELP

Answers

To find the volume of the piece that was cut out, you need to calculate the volume of the original rectangular prism and then subtract the volume of the remaining piece.

The volume of the original rectangular prism is given by:

V1 = length x width x height
= 5 inches x 13 inches x 10 inches
= 650 cubic inches

To find the volume of the remaining piece, you need to determine its dimensions. If you have an image or a description of the piece, you can use that information to calculate its volume. Once you have the volume of the remaining piece, you can subtract it from the volume of the original rectangular prism to get the volume of the piece that was cut out.

To find the volume of the other piece, you can subtract the volume of the piece that was cut out from the volume of the original rectangular prism:

V2 = V1 - V_cut_out

where V_cut_out is the volume of the piece that was cut out.
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