A large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.
How many small prisms would it take to fill the large prism?

Answers

Answer 1

The required number of small prism that would be fill in the large prism is given as 6

As mentioned in the question, a large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.

Here,
The volume of the large prism = 12 × 9 × 6
                                              = 648 inches cube
The volume of the small prism = 12 × 3 × 3
                                              = 108 inches cube,


The ratio of the volume of the large prism to a small prism will give the number of small prisms needed to fill the large prism. So,
n = 648 / 108  = 6 / 1

Thus, the required number of small prism that would be filled in the large prism is given as 6.

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Related Questions

In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

ST = 44.54 ft

Explanation:

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2

Answers

The answer is the last one 480cm2

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?

Answers

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

of the 12 eggs in the carton, 3 were broken. What percent were broken?​

Answers

Answer:

25%

Step-by-step explanation:

plz mark brainliest    also the other answer is correct i just didnt show how

                                 

Answer:

25%

Step-by-step explanation:

3/12=d/100

12d=300

12÷12d=d

300÷12=25

d=25

hope this helps

Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?

Answers

There is 5.6 dollars at the end of the school week

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

solve for x using distributive property

2(x+7)=13

and

5(x-7)=17

Answers

Answer:

x= −1/2, x=52/5

Step-by-step explanation:

2(x+7)=13

(2)(x)+(2)(7)=13(Distribute)

2x+14−14=13−14

2x=−1

2x/2=−1/2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5(x−7)=17

(5)(x)+(5)(−7)=17(Distribute)

5x+−35=17

5x−35=17

5x−35+35=17+35

5x=52

5x/5=52/5

5/6 plus blank equals to 5/2

Answers

Answer:

5/6 + 5/3 = 5/2

Step-by-step explanation:

A sports fan conducted a test to investigate whether male high school athletes are
equally divided among football, soccer, swimming, tennis, and basketball. A sample of
male high school athletes was selected and the resulting value of the chi-square test
statistic was 10.65. Which of the following represents the p-value?

Answers

Answer:

B

Step-by-step explanation:

p(x^2>10.65)=0.03

Help me I need to get this right

Answers

Answer:

0.006 (decimal form) or 0.6% (percentage form)

Step-by-step explanation:

0.1(0.2)(0.3) = 0.006

Type in your answer with no spaces and all lower case x.
Factor x^2−100

Answers

Answer:

(x-10)(x+10)

Step-by-step explanation:

the answer is:(x-10)•(x+10)

Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2

Find the product of the following

1. (2x - 5)(2x + 5)

2. (5b - 6y)(5b + 6y)

3. (4k + 7)(4k - 7)

4. (y - 5)(y + 5)

5. (3x - 2)(3x + 2)

6. (13x + 2x^3)(13x - 2x^3)

7. (2a + 1)(2a - 1)

8. (9y^2 + 8)(9y^2 - 8)

Answers

Step-by-step explanation:

hey, hope this helps. :)

Answer:

The solution is 6-->4-->9-->7-->1

Step-by-step explanation:

Sasha selected a random sample of bivariate data, with a sample size of 30, and calculated a slope of 3.6 for the sample slope of a regression model. Sasha constructed a 95 percent confidence interval to estimate the slope. Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same. Which of the following sample sizes will make Alex's claim true?
A. 10
B. 15
C. 20
D. 25
E. 35

Answers

D or e is the correct answer

The sample size that will make the Alex's claim true is option E. 35.

What is Confidence Interval?

Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.

This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.

Sample size of Sasha = 30

She took a confidence interval of 95%.

Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same.

The relation between the sample size and confidence interval is that when the size of sample increases, the confidence interval becomes narrower.

So if the Alex's claim has to be true, sample size must increase.

He can use sample size of 35.

Hence the correct option is E.

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I NEED HELPPPPP PLEASE ​

Answers

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical then find the value of x

Answers

Answer:

Step-by-step explanation:

x = 100°

Step-by-step explanation:

They are adjacent.

x + 80 = 180

x = 100°

Which solid has one rectangular base and four lateral faces in the shape of triangles?
rectangular prism
rectangular pyramid
square pyramid
triangular prism

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism

Step-by-step explanation:the answer is B

Anyone know the sensitivity analysis and duality?

Answers

Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.

Step-by-step explanation:

Type your answer in the box.
The sample standard deviation of the data set 3, 4, 5, 6, and 7 is
final answer to 1 decimal place.)
Do you know the answ

Answers

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5


2, 6, 10, 15, ...

O Arithmetic
O Geometric
O Neither

Answers

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

[tex]6-2=4[/tex]

[tex]10-6=4[/tex]

[tex]15-10=5[/tex]

Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

[tex]\dfrac{6}{2}=3[/tex]

[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]

Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

help lol don’t understand smart teacher math awesome simple lol geometry brainlyesy

Answers

Answer:

1. square, 28cm^2

2. triangle, 60ft^2

3. trapezoid, 21ft^2

4. pentagon, 30cm^2

Step-by-step explanation:

I just want to confirm that the person above does have the right answer so there is. I reason to repeat it

Help please I’ll give extra points

Answers

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure

The Least Squares Assumptions ​, where 1. The error term has conditional mean zero given ​: ​; 2. ​, are independent and identically distributed​ (i.i.d.) draws from their joint​ distribution; and 3. Large outliers are​ unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ​? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions​ satisfied? A. OLS assumption​ (3) is satisfied but not​ (2). B. Both OLS assumptions​ (2) and​ (3) are satisfied. C. OLS assumption​ (2) is satisfied but not​ (3). D. Neither OLS assumption​ (2) nor​ (3) is satisfied.

Answers

Step-by-step explanation:

is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.

v=10 e=5
2v divided by e + 4

Answers

V=10 2(10)= 20 divided by e
E=5 so 20 divided by 5=4
The answer of 2v/e is 4

¼ y + ⅜ ? I don't know what to do

Answers

Answer:

isn't that a graph perhaps ?

Pls answer thankyouuuu NO ABSOLUTELY NO LINKS OR I WILL THROW MY PHONE AT U

Answers

Answer:

option a. true.

.............

Answer:

Nice and simple :)

TRUE :)

go0ge,com

Step-by-step explanation:

Roberta had money in his savings account. She spent $65 of it on a new pair of shoes. She has $78 left. How much money did she have in her savings before she bought the shoes?

Answers

Answer:

$ 143

Step-by-step explanation:

she had $ x before she spent the money

x - 65 = $ 78

x = $ 143

inverse of f(x)=4-x^1/3

Answers

Answer:

[tex]f^{-1}(y)=(y+4)^3[/tex]

Step-by-step explanation:

f(x) = 4 -x^1/3

y = 4 - x^1/3

y + 4 = x^1/3

raise both sides to a power of 3

(y+4)^3 = x

x = (y+4)^3

[tex]f^{-1}[/tex](y)= (y+4)^3

ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5

Answers

Answer:

L=(24*12) + 6

Step-by-step explanation:

24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6

what is 2+2 ?



im felling nice

Answers

Answer:

4

Step-by-step explanation:

if you had 2 cake mixes, and you had 2 more, you add them together and create 4 cake mixes and get a bigger cake. lol

Thanks so much!! Have a great rest of your day! ^^

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