A rectangular prism is 114 inch tall, 112 inch wide, and 2 inches long. How many unit cubes with side length of 14 inch does it take to fill the rectangular prism?

Answers

Answer 1

Answer: 9

Step-by-step explanation:

Given

The dimension of a rectangular prism is

[tex]L=2\ in[/tex]

[tex]W=112\ in.[/tex]

[tex]h=114\ in.[/tex]

Volume of Prism [tex]V=L\times W\times h[/tex]

[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]

The volume of the unit cube

[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]

Suppose there are n unit cubes to fit in a rectangular prism

[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]


Related Questions


Jaden cut a square sheet of paper in half along a diagonal to make two equal
triangles. Each triangle has an area of 0.08 square units. What is the length,
in units, of one side of the square?

Answers

If each triangle is 0.08 then the area of the square would be 0.16 a square has 4 sides
0.16/4 = 0.04

The length of one side of the square is approximately 0.4 units.

Let's assume that the side length of the square is "s" units.

When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.

The formula for the area of a right-angled triangle is:

Area = (1/2) * base * height

Since the triangles are equal, we can write:

0.08 = (1/2) * base * height

Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.

Let's assume the base and height of one triangle are "b" and "h," respectively.

0.08 = (1/2) * b * h

We are given that the area of each triangle is 0.08 square units, so we can write:

0.08 = (1/2) * s * s

Now, we can solve for "s":

[tex]s^2 = 0.08 * 2\\s^2 = 0.16[/tex]

Take the square root of both sides:

[tex]s = \sqrt{0.16}\\s \approx 0.4[/tex]

So, the length of one side of the square is approximately 0.4 units.

To know more about square:

https://brainly.com/question/32865510

#SPJ2

Write an equation to represent the puppy's
weight in terms of the number of weeks since the person got the puppy.

I need one equation for Camille and one for Olivia PLSS

Answers

Answer:

Camille:[tex]y=\frac{n}{2} +\frac{3}{2}[/tex]

Olivia: [tex]y=x+4[/tex]

Step-by-step explanation:

hope it helps have a great day

Suppose you roll two fair, six-sided dice and record the sum of the numbers that appears on top. What is the probability that you roll an 4

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/3 chance

Explanation:  If you have a 1/6 chance of rolling a four, and then you role two die, you now have two 1/6 chances, meaning you have 1/6 + 1/6, AKA, 1/3 chance

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Evaluate 1 3/7-(2/3+5/7)​

Answers

Answer:

13/7 - (14/21 + 15/21)

Step-by-step explanation:

= 13/7 - ( 29/21)

= 39/21 - 29/21 = 10/21 = 0.47

Answer:

that's the answer .......

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ

Answers

Answer:

It's symmetrical to the origin

Step-by-step explanation:

Use desmos for further graphing

give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132​

Answers

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

Please Help Me Please ​

Answers

I want to say it’s C, but am not 100% sure

Answer: D) [tex]64%[/tex]% well I did not find the exact percent but I figured out it had to be more the [tex]50%[/tex]% so D

Step-by-step explanation:

simplify 20=7z-15 , y+5=29​

Answers

answer

20=7z-15

= z=5

y+5=29

= y=24

Answer:

-7z=-15-20          y+5=29

-7z=-5                  y=29-5

z=5/7                  y=24

Step-by-step explanation:

ther

Please help me on 4 and 5

Answers

Answer:

there is nothing there

Step-by-step explanation:

Answer:

what's the question ?

.

.

.

I need help please, I will give brainliest to the first person that answers. Also extra points.

Answers

Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried


plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

1800

Step-by-step explanation:

30 x 60

i need help ill give brainiest

Answers

Answer:

9 ft

Step-by-step explanation:

its volume is equal to the area by height;

(2.5 x 3)h = 67.5

h = 9ft

Given:

Volume of triangular prism is 67.5 cubic feet

Height of triangular prism is 3 feet

Base width of triangular prism is 5 feet

Length of triangular prism is 't'

To find:

Value of 't'

Steps:

The formula for volume of triangular prism is,

volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length

67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t

67.5 = [tex]\frac{1}{2}[/tex] × 15 × t

[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]

[tex]4.5 = \frac{t}{2}[/tex]

[tex]4.5 * 2 = t[/tex]

[tex]9 = t[/tex]

[tex]t = 9[/tex]

Therefore the value of 't' is D) 9 feet

Happy to help :)

If you have any doubt or explanation feel free to ask

Alexa and her friends went out for pizza to celebrate the softball team’s victory.  Their total bill for the pizza and drinks was $32.50.  If they left a 20% tip for their server, how much tip did they leave?

How do I solve this problem? ​

Answers

Answer:

$39

Step-by-step explanation:

32.50:100 × 20 = $6.50

32.50+6.50 = $39

A salesman earend a $325 salery this month. His total sales were $700. If the salesman earend a total of $360. What was his commission rate?

Answers

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary  - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

i don’t understand soh cah toa. help

Answers

Answer:

soh cah toa

Step-by-step explanation:

The soh mean when you want to find the sine of an angle you divide the opisite side by the hypotonus or o/h. The cah means when you want to find the cosine of an angle, you divide the adjasent line by the hypotonus or a/h. The toa means whe you want to find the tanjent of an angle, you divide the opisite line ny the adjecent line or o/a. Hope that helps with soh cah toa!

describe the relationship between the base and the exponent in 43.

Answers

Answer:

b

Step-by-step explanation:

Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10

Answers

Answer:

7x7x7

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

36.81

Step-by-step explanation:

V= (2/3)pir

Answer:

36.8 m^3

Step-by-step explanation:

Solve for x.parallelogram
Plz show steps so I can learn

Answers

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

Please someone give me correct answer to this problem.
I need help!!!!
I will mark you brainliest for the correct answer.
Please help!!!!!!!!!!!!!!!!!!!☹

Answers

Answer:

The answer is 128 degrees

52 because they need to add up to 180. 48+80=128. 180-128= 52 which is the measure of angle B

Plz answer I'll give brainliest

Answers

Answer:

0 < x < 6

Step-by-step explanation:

triangle sides:

other sides subtracted < third side < other sides added

4-3 < x+1 < 4+3

1 < x+1 < 7

1-1 < x+1-1 < 7-1

0 < x < 6

Hope this helps :)

x² + y² = r²

3² + 4² = (x+1)²

9 + 16 = (x+1)²

(x+1)² = 25

take root for both

x+1 = ±5

x = -6

x = 4

-6

When factored completely,
X^3-7x^2-30x

Answers

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

Consider best strategy to solve the problem. If 9 inches are equal to 27 feet on a map how many feet are equal to three inches

Answers

Answer:

9

Step-by-step explanation:

If 9 inches equal 27 what you would do is divide in order to find how much feet would be in 1 inch. So:

9/27= 3 feet

Then to find how much feet are equal to 3 inches you just multiply that by 3. So your answer is 9 feet.

Overall the work should look like

9 inches= 27 feet

9/9 inches= 27/9 feet

1 inch = 3 feet

3 inches x 3 feet

= 9

write an expression that has 5 terms and that is equivelent to 5x+y

Answers

Answer:

5x + y - 2 + 3 - 1

Step-by-step explanation:

10 points
8. Sally works at a furniture store. She earns $420 a week plus 5.25%
commission on her sales. One week her sales are $2200. What is her total
income for the week? *
$535.50
$536.50
$555.00

Answers

Answer:

Answer: $535.50

Step-by-step explanation:

All you had to so was multiply $2200 by 5.25%. Which would then give you 115.5$ and then you add $420, which would give you the final answer of $535.50


One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.

Answers

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

(10*2)*3=( )* ( ) * ( )
=
=

Answers

Answer:

c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1

Step-by-step explanation:

I am not sure about the g, h and k though.

but cube root means the number thrice.

I hope it helps.

60 yards is the same as __________ inches.

Answers

2160 Inches is 60 yards

Given f(x) = -10x + 11, find f(22)

Answers

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

Other Questions
What body shape do typical jellyfish have?PolypMedusaReefDisc Can someone help me pls Help D: !Evaluate the expression of the given value of x. a. 2 + x^3, x is 3.b. x^2, x is 1/2c. 3x^2, x is 5d. 100 - x^2, x is 6 Given that AlHJ is equiangular, find x and y.A. X = 57, y = 54B. X = 57, y = 63C. X = 66, y = 54D. x = 66, y = 55 Which of the following occurs first in meiosis?1. Homologous chromosomes line up in the center of the cell.2. Chromosomes line up in the middle of each cell.3. Crossing over between segments of homologous chromosomes.4. Chromosomes are pulled to opposite poles of the cell. The sum of three consecutive odd integers is -39. What is the largest integer? Explain how the relative and absoulate age of rocks and the fossil record provide evidence of earths geological history? A television channel broadcasts a baseball game every day. Yesterday's broadcast showed the game for 2 5/6 hours and commercials for 2/3 hour. At this rate, how many hours does the television channel show a game for every hour it shows commercials during its broadcasts? Im confused with this sentence Which statement best summarizes the NAACP's role in advancing civil rightsin the 1950s?A. It challenged racial segregation laws in federal courts.B. It urged African Americans to violently oppose racist policies.O C. It pressured African American politicians to support civil rights.O D. It organized nationwide protests against segregation. Drag tiles to describe each fraction Tiles may be used once, more than once, or not at all. Help me with this!!!! How many moles of ammonia gas can be formed from 14.0 L of hydrogen gas 300 K and a pressure of 2.0 atm In your own words, summarize the United States' foreign relation policy and values throughtout World War 1. Be sure to include their policy of neutrality and explain what that means in your answer. Please provide at least 3 sentences. Which is One DISADVANTGE for a company that goes public?A. Stockholders have no control over the management.B. The company faces more government regulations. < I think?C. Investors don't know about the company's finances.D. Large bank loans become more difficult to obtain. why is chemistry a science Which of the following Spanish words is not a preposition?1. soy2. con3. para 4. de Are the two outcomes listed are equally likely to occur. Give a reason for your answer.Selecting the letter a or k from the word "TAKE"Your answer: (02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'? A-75 degrees B-100 degrees C-105 degrees D-180 degrees in the women who spoke up how does the author organize information in the text