How many cubes with edge length of ⅓ inch are needed to fill a rectangular prism that is 3 inches by 1 inch by 1 ⅓ inches?

Answers

Answer 1

Answer:

We need 108 cubes to fill the rectangular prism

Step-by-step explanation:

We are given the dimensions of a cube with an edge length of 1/3 inch.

A rectangular prism is to be filled out with those cubes. The dimensions of the prism are 3 inches x 1 inch x 1 1/3 inches.

The fraction 1 1/3 is expressed as:

[tex]1\frac{1}{3}=1+\frac{1}{3}=\frac{4}{3}[/tex]

We need to know how many cubes fit in each dimension. It can be found by dividing them by their edge length:

[tex]\displaystyle \frac{3}{\frac{1}{3}}=3*3 =9[/tex]

[tex]\displaystyle \frac{1}{\frac{1}{3}}=1*3 =3[/tex]

[tex]\displaystyle \frac{\frac{4}{3}}{\frac{1}{3}}=\frac{4}{3}*3=4[/tex]

Now we multiply the number of cube per dimension:

9*3*4=108

We need 108 cubes to fill the rectangular prism


Related Questions

Which of the following statements best describes the location of −(−1) on a number line?

Answers

Answer:

1 unit to the right of 0

Step-by-step explanation:

Well if you distribute the - into the (-1) than you should get a positive becuase -1*-1 is positive 1. So it would be right next to 0 to the right.

Need answerrrrrrrrr fast

Answers

720 calories i believe

Answer:

960

Step-by-step explanation:

If there are 120 calories in 3/4 or 0.75 cup

In one cup = 120/0.75

= 160 calories per cup

160 * 6 cups = 960 calories in 6 cups

Which expressions are equivalent to 6 to the fourth power?

4•6
6•216
36•36
6•6•6•6
6•64

Answers

Answer:

6x6x6x6

Step-by-step explanation:

Answer:

the 4th one

Step-by-step explanation:

6.6.6.6

Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make

Answers

Answer:

6

Step-by-step explanation:

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Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).​

Answers

Answer:

y=-4x-4

Step-by-step explanation:

m=-4

point(-2,4)

y-4 = -4 (x- (-2) )

y-4 = -4 (x+2)

y-4 = -4x -8

y = -4x -4

Step-by-step explanation:

we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)

therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)

x square -4x+2x-8

therefore the equation is nothing but x square-2x-8

(-8) × 2/3 Please help me with this​

Answers

Answer:

Step-by-step explanation:

1= divide -8 by 3

2= multiply your answer from one by 2

3= then you have 2/3 of negative 8 (rembere to keep it negative)

Answer:

-5 1/3

Step-by-step explanation:

I think

Hope this welps

The weather man predicted there would be 16 inches of snowfall. When measures, there was only 14 inches of snowfall. What percent was the weather man off by?

Answers

Answer:80%

Step-by-step explanation:

what's the constant of proportionality of 1.08p=t

Answers

Answer:

1.08 is the constant of proportionality.

Step-by-step explanation:

The constant value (often written k) relating amounts that rise or fall uniformly together.

It is the ratio of the amounts y and x:

k = y/x

Put another way: y = kx

Example: you are paid $20 an hour

The constant of proportionality is 20 because: Pay = 20 × Hours worked

Find the difference in SIMPLEST form:
3 1/5 - 1 1/10=

Answers

Answer:

2 1/10

Step-by-step explanation:

Answer:

2 1/10 or 2.1

Step-by-step explanation:

WP
BOOK
Untitled document
Find the perimeter of the figure below, in feet.
7.7 ft
6.7 ft
6.7 ft
6.7 ft
6.7 ft
11 ft
11 ft
3.9 ft
3.9 ft
7.7 ft

Answers

72 feet. Just add all the numbers together

test due tomorrow pls helpp!!

Answers

5 and 2

Hope this helps

Carrie May 27 of 40 shots. what percent of shots did she make?

Answers

Answer:

67.5%

Step-by-step explanation:

Qwin bought a shirt that was on sale for $23.00. The sales tax rate was 7%. Use this information to fill in the statement below.

Answers

Pizza pizza pizza pizza pizza

Answer:

24.61

Step-by-step explanation:

7% of 23 is 1.61

so add 1.61 to 23 = 24.61

1 Selena rewrote the expression 4(5m + 12s) using the distributive property. What expression did Selena create?

Answers

4(5m + 12s)

= 20m + 36s

Hope this helps

HELP ME PLEASEEEE :)

Answers

Answer:

I believe it to be C

Step-by-step explanation:

need help please answer will be thankful

Answers

Answer:

If a set of points is a function, the elements of the set must have the same number of elements.

For example, if the function is from A→B, the elements must be ordered pairs.

So Y is not a function.

---------------------------------------------------------------------------------------------

If Y is in fact  {(2, 6), (3, 1), (4, 1), (5, 6)}

then Y is a function, because each of the first coordinates appears only once.

In functional notation, we have f(2)=6, f(3)=1 etc....

remark: if a first coordinate is repeated, for example if we have (2, 6) and also (2, 8)

this would mean f(2)=6, but also f(2)=8, which means f is not a function.

Step-by-step explanation:

NEED HELP FINDING AVERAGE SPEED PLEASE HELP!!!!

Answers

Answer:

124 mph (200 km/h) (for a small plane) .  621 mph (1.000 km/h) (airliner) .  1243 mph (2.000 km/h) (jet) .

Step-by-step explanation:

HELP! i don't get this, at all, i chose an option on accident so don't mind that.

Answers

I think it is 3rd option I am not sure though

Note that multiplication is commutative, in simpler terms, the order of multiplication doesn't matter at all. We shall use this to solve the problem.

[tex](-4)\times(-3\frac{5}{6} )= (-4)\times(-3)\times(\frac{5}{6})[/tex]

Now, what we also know is that a negative number times a negative number is a positive number. And we also know that 4 times 3 is 12.

So,

Writing the same thing in a more convenient way:

[tex]12\times\frac{5}{6} = 12\frac{5}{6}[/tex]

So the answer is the second alternative

In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.

Answers

Answer:

The  estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is  

      [tex]0.171 <  p <  0.297 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  124

    The population proportion p =  0.06

     The number of cars with manual transmissions is  k =  29

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally the sample proportion is mathematically represented as

       [tex]\^ p = \frac{ 29 }{124 }[/tex]

=>   [tex]\^ p = 0.234[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]  

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E =   1.645  * \sqrt{\frac{0.234 (1- 0.234 )}{124} } [/tex]

=>   [tex]E =  0.063  [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>  [tex]0.234  - 0.063  <  p <  0.234  + 0.063 [/tex]

=>  [tex]0.171 <  p <  0.297 [/tex]  

An antelope can run 152.5 miles in 2.5 hours. What is the average speed of the antelope?

Answers

Answer:61mph

Step-by-step explanation:

152.5/2.5=61

Answer:

Easy, it's 61miles per hour

Step-by-step explanation:

The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?​

Answers

Answer:

The cost of 2 quintal of rice is $10,000.

Step-by-step explanation:

To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.

Now, to determine the cost per kilogram of rice, the following calculation is required:

4,500 / 90 = X

50 = X

Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.

This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 18 points as well.
again this is for fun and also HURRY UP AND TYPE only 2 users get to do this

Answers

We wish you a Merry Christmas

Jingle Bells

Mary did you know

Where are you Christmas

Sleigh Ride

Last Christmas

Rocking Around the Christmas tree

Santa Baby

Mistletoe

The Little Drummer Boy

All I want for Christmas is you

Santa Tell me

Peace on Earth

Grandma got ran over by a reindeer

God rest ye merry gentlemen

Little Saint Nick

Underneath the tree

A Merry little Christmas

Do you hear what I hear

Hallelujah

Christmas in the Hollis

We need a little Christmas

Home for Christmas

Oh holy night

Blue Christmas

Silent Night

A Christmas Carol

White Christmas

Feliz Navidad

Charlie Brown Christmas

When a Child was born

Rudolph the rednosed reindeer

We three kings

Santa Claus is coming to town

Carol of the bells

Silver bells

Joy to the world

Angels we have heard on high

Baby it's cold outside

Step-by-step explanation:

in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red

Answers

Answer:

10

Step-by-step explanation:

hope this helps ")

Which expressions are equivalent to 2^−4·2^2?

1) −1/4
2) 4
3) 1/2^2
4) -4
5) 1/4
6) 2^-2
7) 2^2

Answers

Answer: the answer is 6)

Step-by-step explanation:

Because [tex]2x^{-4}[/tex] . [tex]2x^{2}[/tex] = [tex]2x^{-4+2}[/tex] = [tex]2x^{-2}[/tex]

I hope it right

If it is $5.25 for 1 pound of bananas what is the cost of 3.5 pounds
A) $18.37
B)$18.38
C)$19
D)$10.50
Hurry pls

Answers

The answer should be B) $18.38

Answer:

18.38 B

Step-by-step explanation:

let x be the cost of 3.5 pounds

5.25/1 = x/3.5

5.25=x/3.5

18.375=x

since you can't buy 3.5 pounds with 18.37 (1 penny short), you need 18.28

The enrollment at a university increased from 16,000 students to 20,000 students over a period of 5
years. What is the percent increase in enrollment?
difference
net/

Answers

Answer:

25%

Step-by-step explanation:

Initial no of students = 16,000

Final no of students = 20,000

We need to find the percent increase in enrollment.

The increase in no of students = 20,000 - 16,000

= 4000

Percentage = (increase/initial no of students) × 100

[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]

Hence, the percent increase is 25%.

I NEED HELP WITH MATH!!!

Answers

Answer:

mathhhhhhhhhhhhhhhhhhhdjihjhhhhhhhhhhhhhhh

Step-by-step explanation:

logicccccccccccccccccccccccccccc

Simplify: 2 (5 + 3x) + (x + 10)

Answers

10 + 15x + x + 10
= 16x + 20

round 689 to the nearest thousand

Answers

Answer:

1000

Step-by-step explanation:

680 rounded to the nearest thousand is 1000.

Hope this helps! :D

What is the range of the set of numbers below?

Answers

Answer:

8 and -7

Step-by-step explanation:

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