What is the volume of this rectangular prism?

What Is The Volume Of This Rectangular Prism?

Answers

Answer 1

Answer:

[tex]V =\frac{12}{5}\ cm^3[/tex]

Step-by-step explanation:

The Volume of Rectangular Prism

Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:

V = WLH

The figure shows the dimensions:

L=3 cm

[tex]W=\frac{4}{3}\ cm[/tex]

[tex]H=\frac{3}{5}\ cm[/tex]

Thus, the volume is:

[tex]V =3*\frac{4}{3}*\frac{3}{5}\ cm^3[/tex]

[tex]V =\frac{36}{15}\ cm^3[/tex]

Simplifying:

[tex]\boxed{V =\frac{12}{5}\ cm^3}[/tex]


Related Questions

Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every 810 kilometer he drives, he drives the equivalent distance of 510 mile. What is that ratio as a unit rate of kilometers to miles?

Answers

Answer:

The ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

Step-by-step explanation:

Given;

distance measured by odometer in kilometer, = 810 km

distance measured by odometer in miles, = 510 miles

The  ratio of a unit rate of kilometers to miles of the distance measured by the odometer is calculated as;

[tex]d = \frac{810 \ km}{510 \ miles} \\\\d = \frac{810 \ km \ \times \ \frac{1}{810 \ km} }{510 \ miles \ \times \frac{1}{810 \ km} } \\\\d = \frac{1 \ km}{\frac{510}{810} \ miles } \\\\d = \frac{1 \ km}{\frac{17}{27} \ miles} \\\\d = 1 \ km : \frac{17}{27} \ miles\\\\d = 1 \ km : 0.63 \ miles[/tex]

Therefore, the ratio of a unit rate of kilometers to miles of the distance measured by the odometer is 1 km : 0.63 miles.

Dr. Fisher is researching the growth of a culture of bacteria. He records the count of bacteria, y, after x hours. He wants to determine whether there is a relationship between the amount of time passed and the count of bacteria. He finds that the linear model that best fits the data is

Answers

Answer:

its B hope this helps:))

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

im smart

14. The screen size of a television is measured along
the diagonal of the screen from one corner to
another. If a television has a length of 28 inches
and a diagonal that measures 32 inches, what is
the height of the television set to the nearest
tenth?

Answers

Answer:

15.5 inches

Step-by-step explanation:

height² = diagonal² - length²

height = √(32² - 28²) ≅ 15.5 inches

At first, you have 15 bottles of coke, and you drink 2 bottles each day. After a certain number of days, there are 3 bottles left. Write and solve an equation for, d, when there are 3 bottles left?

Answers

Answer:

After 6 days, 3 bottles will be left.

Step-by-step explanation:

Given that:

Number of bottles = 15

Number of bottles drank each day = 2

Let,

d be the number of days

y be the number of bottles left

y = 15 - 2d

Now,

We have to find the number of days when 3 bottles will be left.

Putting y=3

3 = 15 - 2d

2d = 15 - 3

2d = 12

Dividing both sides by 2

[tex]\frac{2d}{2}=\frac{12}{2}\\d=6[/tex]

Hence,

After 6 days, 3 bottles will be left.

What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

h(x) = (1/4)x - 2 which is choice A

Step-by-step explanation:

Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.

f(x) = 4x+8

y = 4x+8

x = 4y+8

x-8 = 4y

4y = x-8

y = (x-8)/4

y = x/4 - 8/4

y = (1/4)x - 2

h(x) = (1/4)x - 2

A mom mixes 9 oz of juice and adds 3 oz of water. What percent of the drink is juice?

Answers

Answer:

75% is juice

Step-by-step explanation:

3/4 equals 75%

Answer:

75% of the drink is juice i did the calculations in my head.

Step-by-step explanation:

i Hope this helps you :)

A warehouse contains ten printing machines, four of which are defective. A company selects five of the machines at random, thinking all are in working condition. The company repairs the defective ones at a cost of $20 each. In what interval would you expect the repair costs on these five machines in dollars to lie 75% of the time

Answers

Answer:

Step-by-step explanation:

There from ypergemetric distribution

mean number of defective in sample =n×m/N =5×4/10=2

and std deviation =sqrt(mn/N*(1-m/N)*(N-n)/(N-1))

=sqrt(5*4/10*(1-4/10)*(10-5)/(10-1))=0.816

from Tchebysheff's theorem ; 75% values fall within 2 standard deviation from mean

therefore interval in terms of defective

=2-2*0.816 ; 2+2*0.816 =0.367 ; 3.633

interval in terms of  repair costs =20*0.367 ; 20*3.633 =$7.34 ; $ 72.66

Solve the systems of equations 9x+5y=41 and x+y=9 by combining the equations

Answers

Step-by-step explanation:

multiplying the 2nd eqn by 9 we get,

9x+9y=81

then,subtracting 1st and 2nd eqn

9x+5y=41

9x+9y=81

- - -

__________

0. -4y=-40

we get y = 10

then we get x=9-y

x=9-10

x= -1

so x is -1 and y is 10

What specific measure of a geometric figure is shown in the image?

Answers

Answer:C, A 70 angle

Step-by-step explanation:

Answer:

The specific measure of a geometric figure is shown in the image is a 70° angle.

Thus, option 'A' is correct.

Step-by-step explanation:

We know that protectors normally have:

two sets of numbers going in opposite directions.

From the figure, it is clear that:

The center point of the protector lies on the vertex of the angle.The zero mark is the bottom edge of the protractor.

It is clear that the other ray tends to cross the protractor at the measure 70 degrees.

Therefore, the specific measure of a geometric figure is shown in the image is a 70° angle.

Thus, option 'A' is correct.

A farmer raised a watermelon that weighed 20 Lb. From his experience with raising watermelons, he estimated that 95% of the watermelon's weight in water. Question: In pound's how much water of the watermelon is water.​

Answers

Answer:

19

Step-by-step explanation:

5%= 1

95%=19

The water is 95% of the total weight of watermelon. Multiply 95% by the total weight to get the weight of the water.

water = 95% × 20

water = 0.95 × 20

water = 19

The weight of the water is 19 lbs

Did I do this right math functions need fast

Answers

Answer:

The rate of change of Function A is less than the rate of change of function B.

Other than that, everything else you put is correct.

Step-by-step explanation:

None.

Answer:

Option A, B and D are correct options.

Step-by-step explanation:

First we will find rate of change of function A and function B

Rate of Change of Function A

The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have x_1=1, y_1=5, x_2=2, y_2=7

Putting values in formula and finding rate of change

[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]

So, Rate of change of Function A = 2

Now, finding y-intercept.

y-intercept is found by putting x =0

Looking at the function, we can write the equation: y=2x+3

Now, put x =0

y=2(0)+3

y=3

So, when x =0, y=3

So, y-intercept is 3 for function A.

Rate of Change of Function A

The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have x_1=1, y_1=1, x_2=2, y_2=4

Putting values in formula and finding rate of change

[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]

So, Rate of change of Function B = 3

Now, finding y-intercept.

y-intercept is found by putting x =0

Looking at the graph, when x=0, y is -2

So, y-intercept is -2 for function B.

We get following answers:

Rate of change of Function A = 2

Rate of change of Function B = 3

y-intercept is 3 for function A.

y-intercept is -2 for function B.

So, The correct options are:

The rate of change of function A and B are positive

The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)

The y-intercept of function A is positive, while y-intercept of function B is negative.

So, Option A, B and D are correct options.

What is the value of the expression below when x=4?
2x2+x-5

Answers

Answer:

2x2+x-5

using x=4

(2×2)+4-5

4+(-1)

4-1=3

Answer:

3

Step-by-step explanation:

(2×2)+x-5

=4+x-5

=4+(4)-5

=8-5

=3

what is 0.6 million add 345000

Answers

Answer:

945000

Step-by-step explanation:

do you mean adding..? if so thats your answer

The answer is 0.945 million or 945000  

What is Addition

Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.

The addition of two whole numbers results in the total amount or sum of those values combined.

1 million = 10 lakhs = 1000000

0.6 million = 600000

On addition of 0.6 million and 345000 we get

945000

Therefore the answer is 0.945 million or 945000  

To know more about Addition

https://brainly.com/question/14092461

#SPJ2

Laura graphs these equations and finds that the lines intersect at a single
point, (1.5, -1.5)

Answers

Answer:

they are the only values that makes both equations true

Step-by-step explanation:

just took the test

A triangle can be formed with side lengths 1 in, 3 in, and 7 in. *

True or
False

Answers

Answer:

False.... i think

Step-by-step explanation:

A​ quality-control manager randomly selects 80 bottles of soda that were filled on March 11 to assess the calibration of the filling machine. What is the sample in the​ study?

Answers

Answer:

The sample is the 80 bottles that were randolmy selected on March 11.

Step-by-step explanation:

can anyone help me with this, I gave a picture so you can figure it out

Answers

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5)  which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00

Answers

Answer:

1/3 or .75 pounds of strawberries

Answer:

No pounds

Step-by-step explanation:

you need three (3.00) dollars to get a pound and you only have one (1.00)

6849 to the nearest 100

Answers

800 cause it’s not passed 50 yet

I need help please!:D

Answers

 ❀  ❀
 
\  ❀
\ ❀ ❀
l l 

✿ Spring ✿


Which best describes the solutions to the inequality x greater than 10?

Answers

Answer: x>10

Step-by-step explanation:

I don't know what this is asking but the inequality x greater than 10 is simplified as x>10

50 POINTS

Marcus says that a store overcharged him on the price of the video game he bought. He thought that the price was marked of the original price, but it was really off the original price.
He misread the advertisement.

If the original price of the game was $48, what is the difference between the price that Marcus thought he should pay and the price that the store charged him?

Answers

Answer:

$14

Step-by-step explanation:

Since the original price of the game was $48 and the store wanted to sell it with 1/4 off the total price, we can say that (48) - (48 *1/4) = 36. Since marcus thought that he was buying the game for 1/4 of the original price, that would be 48 * 1/4 = 12.

The difference between 36 and 12 is 14, which would be the answer.

I need help ASAP please! Giving brainliest!!

Answers

The correct answer is C

Answer: i think b

Step-by-step explanation:

so sorry if im wrong

Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.

Answers

Answer:

tell mariam to ask the shop keeper

Step-by-step explanation:

can someone help pls

Which one of the
following sets of side
lengths could representa
right triangle?
(А)12 inches, 9 inches, 15 inches
(В) 9 inches, 8 inches, 15 inches
(C) 8 inches, 10 inches, 12 inches
6 inches, 8 inches, 12 inches
(D) 6 inches, 8 inches, 12 inches

Answers

Answer:

A 12 inches 9 inches 15 inches

How to solve for x?

Answers

Answer:

159

Step-by-step explanation:

35x-1 =-35 plus 34x20

Please help me! Will give brainleist! ✨

Answers

Answer:

3/10

Step-by-step explanation:

You could multiply straight across and get 21/70 and when the numerator and denominator are divided by 7 you'd get 3/10.

help meeeeeee plz brainlest in my hand

Answers

Answer:

1. 80

2. 28

Step-by-step explanation:

if you have questions of how to get the answer tell mw :>

I will mark as brainlyist IF u Are right. No one answers anyway so...

Answers

Answer:

PN

Step-by-step explanation:

The segment PN is the exact same as AB, just smaller.

Answer:

The segment parallel to the one given is PN

Step-by-step explanation:

PN could be the only segment parallel

Select the correct answer. Which statement is true about this quadratic equation? y=2x^2 + 9x-12 a There is one complex solution b there are two complex solutions c There is one real solution d There are two real solutions​

Answers

Answer:

There are 2 complex solutions

Step-by-step explanation:

Both imaginary Solutions

Other Questions
An organization will give a prize to a local artist. the artist will be randomly chosen fro among 10painters,3sculptors, and 5 photographer. What is the probability that the artist chosen will be a sculptor or a photographer If all objects have gravitational pulls, why is every object not being constantly accelerated toward every other object? 3(2x+3)-x = x-23 solve for x and if you show me good step by step explanation ill give you brainliest (The Cask of Amontillado) What motivates Montresor's confession?A. FearB. GuiltC. PrideExplain your answer. Mills Corporation acquired as a long-term investment $250 million of 8% bonds, dated July 1, on July 1, 2021. Company management has classified the bonds as an available-for-sale investment. The market interest rate (yield) was 6% for bonds of similar risk and maturity. Mills paid $290 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2021, was $270 million.Required:a. Prepare the journal entry to record Mills'investment in the bonds on July 1, 2021 and interest on December 31, 2021, at the effective market) rate. b. At what amount will Mills report its investment in the December 31, 2021, balance sheet? c. Suppose Moody's bond rating agency upgraded the risk rating of the bonds, and Mills decided to sell the investment on January 2 2022 for $300 million. Prepare the journal entry to record the sale. What percent of the bottle of apple juice is water? Plz help i will give branliest.Chris flips a coin 16 times. Given that exactly 12 of the flips land heads, what is the probability that Chris never flips five heads in a row? Express your answer as a common fraction Spiderman has a mass of 80 kg. He knows his webbing will break if it is exposed to a 200 N force. What is the maximum height he can swing off of? You can assume aerodynamic forces prevent Spiderman from travelling greater than 30 m/s. How many pints do you get per dollar? if one pint coast $4 ? a scooter weighs 120kg. Brakes are applied so that wheels stop rolling and start skidding. Find the force of friction if the coefficient of friction is 0.4 HELP PLEASE ASAPPPPPPPP In this unit, you developed your skills at coding in Python. In this lab, you will put those skills to work by creating a program.Your program should do the following:Ask the user for their first nameSay Hello followed by the users first nameAsk the user how old they areTell the user how old they will be in 10 years and in 20 yearsTell the user how old they were 5 years agoso this is the question and I have it finished but I need someone to correct it because I think some of it is wrong. please I really need help. A corner kick is taken by the__in Soccer?A. ForwardB. DefenderC. OfficialD. Goalkeeper Determine the value of each expression.i11= What is the value if X 3x/7 - 11 = 16 Which statement best completes the diagram?Culture of Jordan?Falafel is apopular food.Traditional art showsno human figures.O A. Most people are Christians.B. Most people speak Arabic.C. Most people are Turkish.D. Most people live on farms. 0.0493 to one significant figure x +1 1.) Caleb placed 5 beehives for every2 acres on the peach orchard. Then heplaced 8 beehives for every 3 acres on theapple orchard. Compare the ratios usingtables to find which orchards have morebees per acre.PeachesWhich orchard has more bees per acre?Explain 13. Find the value of x.124136132158129142116need ASAP!!