A rectangeler prism has a volume of 72 cubic units. How many unit cubes will fill the rectangular exactly

Answers

Answer 1

Answer:

4608 cubes

Step-by-step explanation:

It is very important to note that:

1 cube in a Rectangular Prism has a side length of 1/4

The volume of 1 cube = (side length)³

= (1/4)³ cubic units

We are told in the above question that:

A rectangular prism has a volume of 72 cubic units.

The number of unit cubes that will fill the rectangular prism exactly is calculated as:

72 cubic units ÷ (1/4)³ cubic units

= 72 cubic units ÷ (1/64) cubic units

= (72 × 64 ) cubes

= 4608 cubes

Therefore, the number of unit cubes that will fill the rectangular prism exactly is 4608 cubes


Related Questions

2. What is the value of f(x)=2/3x+1/4 when x=6

Answers

Answer: 17/4 or 4.25 or 4 1/4
17/4 will end up being the answer

Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books than Michael? Use any method to solve the problem

Answers

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

If you are given x2 + 15x + 9, what does the expression equal if x=2

Answers

Answer:

43

Step-by-step explanation:

2(2) + 15(2)+ 9 = 43

Answer:

43

Step-by-step explanation:

2 x 2 = 4

4 + (15 x 2) = 34

34 + 9 = 43

On her lunch break, Audrey grabs a meal with her two coworkers. If everyone paid an equal amount of $8.50, then how much was the total bill?

Answers

Answer:

$25.50

Step-by-step explanation:

3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways

Method 1

$8.50 x 3 = $25.50

Method 2

$8.50 + $8.50 + $8.50 = $25.50

What is the y coordinate?

Answers

Answer:

2

Step-by-step explanation:

If 1 lb = 2 c, then 1 1/2 c = _____ lb

Answers

Answer: b=

10.873127c2hn11t

4l

Step-by-step explanation:

Answer:

0.75 lb cause proportions

Mr. Platt buys 5 calculators to use in his classroom and pays $44.95. Construct a model or diagram to represent this relationship. Write an equation that could be used to find the price, C, of each calculator.

Answers

Answer:

I cant really help with the diagram but the equation is

$44.95 divided by 5 = $8.99

Answer: The equation is 5c = 44.95

Step-by-step explanation:

The equation is 5c = 44.95, when c is the price of each calculator.

What is the area? square kilometers​

Answers

Answer:

Step-by-step explanation:

The area of a trapezoid is the height times the average of its parallel bases.

A=h(b1+b2)/2, in this case

A=14(4.6+8.7)/2

A=7(4.6+8.7)

A=7(13.3)

A=93.1 km^2

A girl weight increased by 12% between her tenth and four teen birthdays . If she weighed 45kg on her tenth birthday. What did she weigh on her fourteenth birthday

Answers

Ok so the first thing you are going to do is chang the percentage into a decimal. 12 percent would change into 0.12, because in order to change a percentage into a decimal you move the decimal two places to the left. Next you would multiply 0.12 by 45 which gives you 5.4. But we are not done yet. By multiplying 0.12 x 45 we find how much weight she has gained. So our next and final step should be add 5.4 to 45 which gives us 50.4. Therefore your answer should be 50.4kg
Hope this helps!!!
Please tell me if I have made a mistake, I enjoy learning from mistakes!!
Have a great rest of your day!!

What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)​

Answers

After partial fraction decomposition the correct expression we get,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]

Hence option fourth is correct.

Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.

It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.

The given expression is,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex]                      [since (a-b) = a² + b² -2ab]

Simplifying we get

⇒ 12x - 25 = A(2x - 3) + B

⇒ 12x - 25 = 2Ax + (B - 3A)

Comparing the coefficients we get

2A = 12

⇒ A = 6

And B - 3A = -25

Put the value of A we get

B =  -7

Hence,

After substituting the values of A and B in the given expression we get

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ4

Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =

Answers

Answer:

4/5

sin A = perpendicular/hypotenuse

sinA = 28/35

sinA = 4/5

hope it helps

option B

Answer:

B. Sin A = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Sin A = opposite / hypotenuse

Sin A = 28 / 35

Divide both by 7

28 / 7 = 4

35 / 7 = 5

[tex]\frac{28}{35} = \frac{4}{5}[/tex]

Why must you use the HEIGHT of the parallelogram, NOT the length of the slanted side of the parallelogram, to determine its area?

Answers

The area of a parallelogram is base times height because it can be rearranged into a rectangle with the same area. A rectangle is a special type of parallelogram.

Can someone help me on this?? 10 points to whoever helps.

Answers

Answer:

whats the question?

Step-by-step explanation:

The value of the computer decreased exponentially throughout the five-year period.
What was the average annual of decrease (in dollars per year) over the two-year interval from t=2 to r=4?

table:
_Time___/_Value__
1 / $400.00
3 / $100.00
5 /$25.00

Answers

Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.

Explain functiοn.

Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.

Here,

[tex]= > V(t) = V(0) * e^{(-kt)[/tex]

By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:

[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]

[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]

[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]

[tex]= > 1/4 = e^{(-2k)[/tex]

[tex]= > ln(1/4) = -2k[/tex]

[tex]= > k = ln(4)/2[/tex]

[tex]= > k ≈ 0.69315[/tex]

The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):

[tex]= > V(2) = V(0) * e^{(-k2)[/tex]

[tex]= > V(4) = V(0) * e^{(-k4)[/tex]

[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]

[tex]= > V(4)/V(2) = e^{(-2k)[/tex]

[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]

[tex]= > V(4)/V(2) =0.5[/tex]

Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:

Ratiο οf decline equals value shift. (time interval)

=>  V(2) - V(4) = (rate οf decline) / (4 - 2)

=>  (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.

=>  (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.

=>  V(2) / 4 equals (rate οf decline)

=>  (rate οf reductiοn) equals 400 / 4

=> rate οf decline) = $100 annually

As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.

To know more about function visit:

brainly.com/question/28193995

#SPJ1

a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?

Answers

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh       l = 8   W = 3    h = 9

  = 8(3)(9)

  = 216

Cube

[tex]V = s^{3}[/tex]   where s = length of side

216 = [tex]s^{3}[/tex]

[tex]s = \sqrt[3]{216}[/tex]  = 6

Help ASAP PLEASEEE ILL GIVE BRAINLIEST

Answers

Answer:

3/18 = 6/ DG

Step-by-step explanation:

1. Use the mental math strategy of rounding (for example +1/-1, +2/- 2, +10/-10, or +20/-20) to add the following numbers. Write down how you would change the numbers in your head for each question.
Ex. 27 + 51 28+50=78
a. 41 + 16=
b. 79 + 14=
c 580 + 355=
d. 174 + 620=
e. 378 + 210=

Answers

a. 41 + 16=57 40+17= 57
b. 79 + 14=93 80+13= 93
c. 580+355=935 600+335=935
d. 174+620=794 194+600=794
e. 378+210=588 388+200=588


Here you go, hope this helps! :)

can play 18 holes of golf in 180 minutes. Calculate what is his average rate in number of minutes per holes?

Answers

180/18=10
Which is 10 minutes per hole

Find the volume: 5ft 5ft 8ft 3ft ​

Answers

Answer:

120ft

Step-by-step explanation:

8 x 3 x 5

Alexis bought 4 cupcakes that cost $1.05 each. She paid with a five dollar bill. How much change did Alexis receive?

Answers

Answer:

Ans (change recieved) = $0.80

Step-by-step explanation:

because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.

in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes

$5.00 - $4.20 = $ 0.80

2. Solve for b.
(a - 3)

Answers

Answer:

Step-by-step explanation:

Sum of angles inside triangle is 180

b + (a -3) + 90 =180

b + a - 3 + 90 = 180

b + a +  87 = 180

b + a +  87 -87 = 180-87

b + a  = 180-87

b + a  = 93

b = 93 -a

Function Notation: f(x)= -4+22; f(12)​

Answers

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22

Marvin has 2 rabbits. The number of rabbits triples
every year. Marvin needs 100 pounds of food to feed
one rabbit per year. How many pounds of food will
Marvin need to feed his rabbits during the third year?
Select one:
o
900
O
1200
600
1800

Answers

Answer:

1800

Step-by-step explanation:

Answer:

1800 pounds

Step-by-step explanation:

1st year: 2 rabbits

2nd year: 6 rabbits

3rd year: 18 rabbits

18 x 100 = 1800

hope this helps :)

Pythagorean Theorem is annoying..​

Answers

Answer:

c = 10

Step-by-step explanation:

8² + 6² = c²

64 + 36 = c

64 + 36 = 100

[tex]\sqrt{100\\[/tex] = 10

Hope this helps :)

A 1. Explain the key difference between permutations of three out of a
group of seven objects and combinations of three out of a group of
seven objects.

Answers

Answer:

Step-by-step explanation:

im clueless

i also need this asap

Answers

Answer:

x=180-(67+52)

Step-by-step explanation:

a linear pair is 180

we are already have two angles add them together

subtract that from 180 and you will get the last angle

what is the scale factor plz help plzz

Answers

Answer:

c

Step-by-step explanation:

Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?

Answers

Answer:

Step-by-step explanation:

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{\tan(60) = \frac{AB}{1250}}[/tex]

Make AB the subject

[tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]

Next, we calculate distance AC using the following tangent ratio

[tex]\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}[/tex]

[tex]\mathbf{\tan(70) = \frac{AB + BC}{1250}}[/tex]

Make AB + BC, the subject

[tex]\mathbf{AB + BC = 1250 \times \tan(70)}[/tex]

Make BC the subject

[tex]\mathbf{BC = 1250 \times \tan(70) - AB}[/tex]

Substitute [tex]\mathbf{AB = 1250 \times \tan(60)}[/tex]

[tex]\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}[/tex]

[tex]\mathbf{BC = 1269}[/tex]

Hence, the distance between the two skyscrapers is 1269ft

Read more about angles of depression at:

https://brainly.com/question/13697260

Select the correct type of solution set for the system

Answers

Answer:

no solution

Step-by-step explanation:

No solution is your answer

PLZ HELP ME WITH 6 * 5/6 THANKS

Answers

Answer:

5

Step-by-step explanation:

5/6 x 6 = 30/6

Basically just multiply the numerator and whole number to get the new numerator. Put that on top of the denominator and then convert it to the simplest fraction (if necessary).

Other Questions
Luis is shopping for gifts. Mugs are on sale for $4 off the regular price,p. Luis vuys 6 muga. H epays $54. What is the regular price of the mug? Show your work. Write a pair of rymming words How do you think Nucleic Acids and Proteins work together in the body? Why are they both important to humans? what are the 4 main writing systems? Donna is writing a program for her book store that will help her monitor inventory. She has many different kinds of books (fiction, non-fiction, textbooks, cookbooks, etc.) that all require different types of data. She has noticed, however, that several pieces of data are the same no matter which type of book she is selling: title and price. She creates some procedures that report the title and price of a book that she can use with any kind of book she sells. This is an example of what computing principle? can you please help me with this question? This is not a multiple choice, I need your help! Find the sides and angles please help me Write a paragraph (5-6 sentences) that describes what your typical sleep patterns are. Do you have trouble going to sleep or is it easy for you? Do you sleep all the way thru the night or do you toss and turn and wake up during the night? Area of a square is 196 cm. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by xcentimeters, and decreasing the breadth by y centimeters, find the area ofthe rectangle in terms of x and y. Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie 6 m10 m4 m15 mfind the perimeter If Ishan scored 789 out of 800 in his exams how much did he score in percentage What is the greatest common factor for the following ratio, 7 : 56 A fruit stand sells bags of apples and tangerines. Each bag has 3 fewer apples than tangerines. 2 In each bag, the number of apples is the number of tangerines. Let A represent the number of apples in each bag and T represent the number of tangerines in each bag. Which system of equations can be used to solve for A and T? DISEASES-Research the diseases that were common among the troops during wartime. Make a brochure describing the name of the disease, causes, and symptoms. Choose at least THREE. Why did many Irish immigrate to the United States between 1846-1850? A ball is thrown straight up with an initial velocity of 128 ft/sec, so that its height (in feet) after t sec is given by s(t) = 128t-16t2. (a) What is the average velocity of the ball over the following time intervals? [3,4] ft/sec [3,3.5] ft/sec [3,3.1] ft/sec (b) What is the instantaneous velocity at time t = 3? ft/sec (c) What is the instantaneous velocity at time t = 6? ft/sec Is the ball rising or falling at this time? rising falling (d) When will the ball will hit the ground? t = sec Missy Diwater, the former platform diver for the Ringling Brother's Circus had a kinetic energy of 15,000 J just prior to hitting the bucket of water. If Missy's mass is 50 kg, then what is her speed? How do you solve g(x)=x^2 - 324