The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?
Answers
Answer:
7 cmStep-by-step explanation:
Given:Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]
Length of a rectangular prism ( l ) = 9 cm
Width of a rectangular prism ( w ) = 8 cm
To find:Height of a rectangular prism ( h ) = ?
Volume of a rectangle = lwh[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h
[tex]\dashrightarrow[/tex] 504 = 72 h
[tex]\dashrightarrow[/tex] 72h = 504
[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]
[tex]\dashrightarrow[/tex] h = 7 cm
The height of a rectangular prism is 7 cm.
Hope I helped!
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~TheAnimeGirl
The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
Learn more about rectangular prism here:
https://brainly.com/question/29753475
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Related Questions
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.
Answers
Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
(Click on the photo and the 60 and 90 is the rest of the window picture shown.)
Please help!!
Answers
Answer:
kind of an estimate but it is probably 220cm, if not then its 175cm, couldn't really see the bottom part of the window
Step-by-step explanation:
Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answers
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
[tex]x - 2 = 4 * (y - 2)[/tex]
[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
[tex]x - 2 +2= 4y - 8 + 2[/tex]
[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
[tex]x - 8 = 10 * (y - 8)[/tex]
[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]
[tex]4y - 14 = 10y - 80[/tex]
Collect Like Terms
[tex]4y - 10y = 14 - 80[/tex]
[tex]-6y = -66[/tex]
Divide through by -6
[tex]y = 11[/tex]
Substitute 11 for y in [tex]x = 4y - 6[/tex]
[tex]x = 4 * 11 - 6[/tex]
[tex]x = 44 - 6[/tex]
[tex]x = 38[/tex]
in grade six class, of the pupils are boys and the number of pupils are 180.Find the number girls?
Answers
Answer:
i could of work it but u didnt put how much pupils are boys ,i dont know if your not suppouse to put it .
Step-by-step explanation:
but if there was a number for boys .
subbtract 180 by the amount of boys and the remaining are the girls
I don’t understand how do you do this I have a assignment for tommorow some one help
Answers
Answer:
500 ML
Step-by-step explanation:
for every 1 liter, it is 1,000ML
so 1 L / 2 is 500ML
and 500 on your beaker is located in between 600 and 400
Hope this helps :)
Find the value of x.
Answers
Answer:
....................................???
.....................................???
Answer:
x = 98
Step-by-step explanation:
180 - 122 = (gives the interior angle)
= 58
24 + 58 + ______ = 180
= 98
NEED HELP FINDING X ASAP
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Answer:
problem 9
x is 45 and y is 20
problem 10
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x is 13 and y is 12
Answer:
Step-by-step explanation:
Find the missing side lengths.
Answers
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
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Answers
Answer:
P (Success) = 1/8
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Step-by-step explanation:
It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
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So, the probability of a success is,
P (Success) = 1/8
And the probability of a failure is,
P (Failure) = 7/8
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
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Answers
Answer:
the correct option is B
I hope my answer is helpful to you
please give me five star rating
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a. Identify a reasonable domain of the function. Explain why you chose that
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Answers
Answer:
The value of the gift card = v = $40
The visit to the skate cost = $8
The number of visits = n
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Step-by-step explanation:
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Answers
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Hope it helps :)
Have a good day/night
Brainliest pls
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
Here's the answer hope it helps
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Answers
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Step-by-step explanation:
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Answers
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Answers
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Answers
Hello, can someone answer this please?
What is 8,187 divided by 24 (not resulting in a decimal number)?
Answers
Answer:
8,187 divided by 24 is 341.125
Step-by-step explanation:
i hope this helps!
Answer:
The answer is 341.125.
But, if you want it without a decimal, you need to round.
You round up if the first number right of the decimal is over 5 or 5, and down if the first number to the right of the decimal is under 5.
Since the first number to the right of the decimal is 1, it is under 5.
So we round down.
So it would be 341.
The answer without a decimal is 341.
Hope this helps!