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!
Best regards!
~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
#SPJ2
Related Questions
Emilio is helping his uncle with some chores. His unde gave him $5 and will pay him an additional $3 for each chore he completes. Which inequality can be used to
determine x, the number of chores Emilio must complete to earn at least $26?
A. 3.1 +5 > 26
B. 3.3 +5 < 26
C. 3.3 + 5 > 26
D. 3x +5 < 26
Answers
Answer:
the correct option is B
I hope my answer is helpful to you
please give me five star rating
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.
Can someone please help me graph y = 2x - 7
Answers
Answer:
(0,-7) and (3.5,0) are where your dots will go
Step-by-step explanation:
6. A spinner is divided into 8 equals sections and the sections are labeled 1 through 8. What is the probability of a success and a failure for this experiment? P (success) = one-fourth; P (failure) = Seven-eighths P (success) = one-fourth; P (failure) = Three-fourths P (success) = three-fourths; P (failure) = one-fourth P (success) = seven-eighths; P (failure) = One-eighth
Answers
Answer:
P (Success) = 1/8
P (Failure) = 7/8
Step-by-step explanation:
It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
Only one section is considered as success and the remaining seven are failures.
So, the probability of a success is,
P (Success) = 1/8
And the probability of a failure is,
P (Failure) = 7/8
Answer:
a
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]
I NEED HELP ASAP.
A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?
Answers
Answer:
8,520,000
Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
71*10^5*12=71*12*10^5=852*10^5=852*100000=
85200000 bottles of ketchup in a year.
Translate (-5,4) to the right 2 units Then reflect the result over the y-axis What are the coordinates of the final point
Answers
Answer: 3,4
Step-by-step explanation:
NEED HELP FINDING X ASAP
Answers
-16 I think I used an online algebra calculator want the link?
Andrea receives a $40 gift card to use at a town pool. It costs her $8 per visit to swim. A
function relating the value of the gift card, v, to the number of visits, n, is v(n) = 40 - 8n.
a. Identify a reasonable domain of the function. Explain why you chose that
domain. (What are reasonable times to visit the pool?)
b. Given that domain, what is the range of the function?
Answers
Answer:
The value of the gift card = v = $40
The visit to the skate cost = $8
The number of visits = n
∴ n = the value of the gift card over the cost of one visit to the skate
∴ n = v/8 = 40/8 = 5
Step-by-step explanation:
The general function for relating the value of the gift card, v, in terms if the number of visits, n. ⇒⇒⇒ v = 8n
Can somebody plz answer all of these right thx!!!<3
(Only if u remember)
WILL MARK BRAINLIEST !
Answers
Answer:
+4 < +6-2 > -3+2 > -1-11 < -8-2 < +6+9 > +8
Math help please! - ( 5/5 )
Answers
Answer: -24
Step-by-step explanation: Convert the decimal into a fraction. Use -a/b=a/-b=-a/-b, to rewrite the fraction. Simplfy the complex fraction. Multiply both sides of the equation by 6. Move constant to the right-hand side and change its sign. Add the numbers Divide both side of the equation by -5 and you get -24.
You take a cab to a restaurant. The final bill of $31.72 included an 18% tip for the driver. What was the original bill?
Answers
i need help pleaseeee.
Answers
Answer:
problem 9
x is 45 and y is 20
problem 10
x is 20 and y is 10
problem 11
x is 13 and y is 12
Answer:
Step-by-step explanation:
Which equation best represents the linear function graphed below? CAN YOU BE REALLY QUICKLY THIS IS A MAJOR GRADE AND I ONLY HAVE 90 MINUTES
Answers
Answer:
y+1= 1/4(x-4)
Step-by-step explanation:
y+1 = 1/4(x-4)
y+1 = 1/4x-1
y = 1/4x -2 -which is the equation of the line
Algebra I need help!
Answers
Answer:
≤ ≥ > < is all of them
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
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
Write the following sentence in if-then form
“ an acute angle has a measure less than 90”
Answers
Answer:
If the angle is less than 90 degrees, it is an acute angle.
Step-by-step explanation:
HELP PLEASE!!! ASAP PLS!!
Answers
Please help I’ll give brainiest!!
Answers
Answer:
m(x)=-1/5x+2.5
Answer:
I believe it is the second choice, m(x)= 5x-12.5 since the points given and this line overlap which therefore indicates a relationship. Also they have the same y intercept.
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!
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
How do you write 3.82 x 100 in standard form?
Answers
Answer:
382
Step-by-step explanation:
Shari is planning a 450-mi car trip. Her car can travel about 39 mi on a gallon of gasoline. Gasoline costs $1.89/gal. About how much will the gas cost for her trip?
Answers
Which set of numbers are closed under subtraction?
Natural Numbers
Integers
Irrational Numbers
Odd Numbers
Answers
Which of the following is a trinomial with a constant term?
Answers
x divided by 4 = -7 What is x? Show your work
Answers
Step-by-step explanation:
Here's the answer hope it helps
(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:
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 :)
Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25. What equation represents y, the total amount of money Lucy’s mother will donate if Lucy walks x miles during the event?
A. y = 25x + 7.50
B. y = 7.50x + 25
C. 25 = 7.50x + y
D. 7.50 = y + 25x
Answers
B. y = 7.50x + 25
Hope it helps :)
Have a good day/night
Brainliest pls