A rectangular prism has a length of 10 in., a width of 2 in., and a height of 312 in. the prism is filled with cubes that have edge lengths of 12 in. how many cubes are needed to fill the rectangular prism? enter your answer in the box. to fill the rectangular prism, cubes are needed.

Answers

Answer 1

Step-by-step explanation:

that is a strange question. you will see in a moment why.

I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.

we can do that quickly:

large volume = 10×2×312 = 6240 in³

small (cube) volume = 12×12×12 = 1728 in³

so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.

now why did I phrase this so strangely ?

because the prism not only has volume but also a shape.

it is a narrow but high container with the small dimensions being 10 in and 2 in.

the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.

not a single one cube would fit into the prism.

so, the realistic answer is : 0 cubes.

if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :

312/12 = 26 cubes.

so, we could stack 26 cubes inside the height of the prism.

so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.

possibly in the dimensions of either the prism or the cubes.

for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).

then the small (cube) volume is : 2×2×2 = 8 in³

and they will fit into the prism also shape wise.

6240/8 = 780 cubes

so, we would need 780 cubes of that size to fill the prism.

or, as another example, the cubes have a side length of 1/2 in.

then the small (cube) volume = 1/2³ = 1/8 in³

6240/(1/8) = 6240 × 8 = 49,920 cubes

in that case we would need 49,920 cubes to fill the prism.


Related Questions

rectangle has sides that are 25 m, 25m, 9m, and 9 m. What is the rectangle’s width?

10pts

68m


9m


25m


18m

Answers

9m
It said the sides are 25m (x2) and 9m(x2). The width of a rectangle are shorter than the length so 9m.

25 POINTS!!! simplify A=(1/2)(5x-2y)(4x+3y) please help and do step by step​

Answers

Answer:

A= 10x^2 + 7/ 2 xy − 3y^2

Step-by-step explanation:

( 1/ 2) (5x−2y))(4x+3y)

= ( 1/ 2(5x−2y)) (4x+3y)

= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)

= 10x^2 − 4xy +  15/ 2 xy − 3y^2

= 10x^2 + 7/ 2 xy − 3y^2

The scatterplot shows the relationship between the time a water balloon is filled from a running faucet and the volume of the balloon.


Which transformations would display linearized data? Check all that apply.


ln(Time), ln(Volume)

Time,

Time3, Volume3

Time, log(Volume)

Time3, Volume

Answers

Answer:

a,b,e

Step-by-step explanation:

Answer:

A; B; E

In(Time), In(volume) ; Time,3/volume ; Time^3, Volume

Step-by-step explanation:

What’s the scale factor?

Answers

Your gonna do 6/9 is equal to X/15 cross multiply and divide 6times15=90 and X times nine is 9x so divide by 9 on both sides and you get 10

What is the value of y?

A.
16

B.
48

C.
64

D.
132

Answers

Answer:

3x+3x+7x+20+7x+20=360

20x=360-20

20x=320

x=16

therefore x=16 so,

7x+20+y=180

but x=16

7(16)+20+y=180

y=180-132

y=48

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)

Answers

Answer: it’s the third option

Step-by-step explanation:

Answer:

y – 7 = 4(x – 1)

Step-by-step explanation:

Third option

Can someone help me figure this out

Answers

Answer:

k is 16 so now u would plug it in.

Step-by-step explanation:

3 is 65 and 9 is 65 because they are alternate interior angles

d = 3xy − y I will MARK BRAINLIESTTTTTTTTTTT ASAP PLEAAAAASSSSSSEEEEEE

Answers

Answer:

Since  

3

y

is constant with respect to  

x

, the derivative of  

3

x

y

with respect to  

x

is  

3

y

d

d

x

[

x

]

.

3

y

d

d

x

[

x

]

Differentiate using the Power Rule which states that  

d

d

x

[

x

n

]

is  

n

x

n

1

where  

n

=

1

.

3

y

1

Multiply  

3

by  

1

.

3

y

Step-by-step explanation:

-1/3(5x+12)-3
show work.

Answers

Answer:

-5/3x-7

Step-by-step explanation:

I will say -5/3x-4

i totally forgot the -3

my bad but -3 with -4 and it would be -7

my 2nd guess is -5/3x-7

10. Determine whether MN and RS are parallel, perpendicular, or neither. M(-2, 2) N(1.-3) R(-2, 1) S(3,4)​

Answers

Answer:

3.4 and 1 - 3

Step-by-step explanation:

help please
i don't understand

Answers

Answer:

I believe it has 9 edges, comment if u need me to explain more

Answer:

6

Hope it helps!

What is the area of the parallelogram?
11 in.
13 in

A. 290 in.^2
B. 286 in.^2
C. 143 in.^2
D. 71.5 in^2

Answers

C. A= B*h. 11x13=143.

In the given figure, x = 30°. What's the property of parallel lines used to find x?

Answers

30 degrees as it is opposite to it

James has 16 baloons 1/4 of his balloons are red how many balloons deos he have

Answers

answer :
16 balloons
reason :
you're asking how many balloons does he have :>

Answer:

16 balloons

But if your asking how many red balloons, then the answer is 4

Step-by-step explanation:

16 balloons because you asked how many balloons does he have

Draw a picture or model to show the ratio 8:5 explain how you know your picture shows the ratio.

Answers

Answer:

draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.

A garden table and a bench cost $659 combined. The garden costs $91 less than the bench. What is the cost of the bench?

Answers

Let b = x and g = (x + 91). We can set up this equation as: x + (x + 91) = 659. This gives us x = 284.

If an object has two forces acting on it, and the object is moving with constant velocity, what can be said about these forces? Select all that apply. One of the forces is larger than the other.One of the forces is larger than the other. , , The forces have opposite directions.The forces have opposite directions. , , The forces have the same direction.The forces have the same direction. , , The forces have equal magnitudes.The forces have equal magnitudes. , ,

Answers

Answers:

The forces have opposite directions

The forces have equal magnitudes

=====================================================

Explanation:

Imagine a bucket of water being held up by a rope.

Gravity pulls down on the bucket with a constant force. The reason why the bucket doesn't fall to the ground is because the tension in the rope is holding it up.

More specifically, the force of the rope's tension is exactly matching the force of gravity. So we have equal magnitudes here. However, the force vectors point in complete opposite directions. Gravity points down and the tension of the rope points up. The two opposite directions cancel out to create balance and that's why the object doesn't move. It has velocity = 0 which is considered a constant velocity even though it's not something like 3 m/s.

If the forces acted in the same direction, then the magnitudes would add up to accelerate the object (either downward or upward). However, the bucket stays fixed in place, so it's clear that the vectors must be opposite in nature.

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

Now consider a skydiver. At some point of the descent, the skydiver will hit terminal velocity. This is the fastest s/he can fall because the force of gravity pulling down counterbalances perfectly with the upward force of wind/air resistance pushing upward. The air is resisting the downward motion being a form of friction. In this case, the magnitude of the gravitational force is the same as the magnitude of the upward air resistance.

Unlike the bucket of water, the skydiver is of course moving. They are moving at a constant velocity since they cannot accelerate any faster. Hence the name "terminal" meaning "the final or ending velocity". It is when the parachute is deployed that will apply a much greater upward force, which then slows down the downward velocity to allow the skydiver to safely land.

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

In both examples, we have a constant velocity happening when the vectors pull in equal amounts but in opposite directions. Think of it like a tug-of-war to keep everything balance. If there is an imbalance of any kind, then acceleration will happen.

A biologist hopes to estimate the proportion of alligators in Florida that are adult. When sampling alligators, the biologist computes the one-proportion Z-interval going from 0.67 to 0.74 at 99% confidence. The margin of error for a 95% confidence interval would be:_____.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for a 95% confidence interval would be of 0.0008.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Considering the 99% confidence interval, which has z = 2.575, the estimate and the sample size are given by:

[tex]\pi = \frac{0.67 + 0.74}{2} = 0.705[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.74 - 0.705 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035 = 2.575\sqrt{\frac{0.705(0.295)}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.575\sqrt{0.705(0.295)}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.705(0.295)}}{0.035}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.705(0.295)}}{0.035}\right)^2[/tex]

[tex]n = 1126[/tex]

Hence, the margin of error is given by:

[tex]M = 1.96\sqrt{\frac{0.705(0.295)}{1126}} = 0.0008[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

how much money is 1 dollar, 3 quarters, 1 nickel, and 3 pennies

Answers

Answer:

1.83$

Step-by-step explanation:

Please help, I will give brainliest if you are correct

Answers

Answer:

In 24 years there will be 140 foxes

Step-by-step explanation:

Your answer would be 140 foxes after 24 years

Look at picture need help asap

Answers

Answer:

f^-1 = 3(x + 1)

Step-by-step explanation:

f(x) = (3 - x)/x

y = (3 - x)/x

x = (3 - y)/y

xy = 3 - y

xy + y = 3

y(x + 1) = 3

y = 3/(x + 1)

f^-1 = 3(x + 1)

LCD 7/8 and 1/4
Im stuck
help pls

Answers

Answer:

2

Step-by-step explanation:

It's the lowest common denominator si the answer is 2

PLEASE HELP ME YOU HAVE TO MAKE AN EQUATION LIKE y=mx+b!!!

Answers

Answer:

5. y=-3x-3

6.y=5/3x+5

Step-by-step explanation:

you take the slope of the line and substitute it for x and take the y-intercept and sub it in for b

I hope this is right

yooooo can like someone please help me !

Answers

Answer:

Step-by-step explanation:(3,-1)

Answer:

(3,0) and (-1,0)

Step-by-step explanation:

just find the points on the graph

which is the simplest form of the expresson...​

Answers

should be the last one hope this helps :]

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group. Her tips averaged 18% of the total amount spent by all the groups of customers that day. What were Brianna's tip income earnings that day?

Answers

Given :

Brianna is a waitress in an upscale restaurant. On Friday she waited on 12 groups of customers who spent an average of $186 per group.

Her tips averaged 18% of the total amount spent by all the groups of customers that day.

To Find :

Brianna's tip income earnings on Friday.

Solution :

Total amount of money spent by 12 groups :

P = $ 12×186 = $2232 .

She got tip of 18% of the total amount spent by all the groups of customers.

[tex]T = P\times \dfrac{20}{100}\\\\T= 2232\times \dfrac{20}{100}\\\\T=\$446.4[/tex]

Brianna's tip income earnings on Friday is $446.4 .

Hence, this is the required solution.

FInd the area of the figures

Answers

Answer:

What is that on

Step-by-step explanation:

Your car gets 25 mi/gal around town and 30 mi/gal on the highway.
a. If 50% of the miles you drive are on the highway and 50% are around town, what
is your overall average miles per gallon?
b. If 60% of the miles you drive are on the highway and 40% are around town, what
is your overall average miles per gallon?

need work shown if possible im really confused

Answers

Answer:

Ok so what it is asking on part A is if your driving 50% on the highway which is 30 miles a gallon and 50% on around the town which is 25 miles a gallon then how many miles a gallon are you getting and the answer for that you need to first find what kind of problem it is and in this case you are working with percents so what you first want to do is  multiply 50% to both 30 and 25 which will be 15 and 12.5 then add those together to get you answer now do the same for part B but instead of 50% it will be 60% and 40%.

Step-by-step explanation:

glad I could help

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance. How much greater is the minimum payment on Card E than on Card D? a. $18. 85 b. $8. 10 c. $11. 24 d. $0. 77 Please select the best answer from the choices provided A B C D.

Answers

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

What is percentage ?

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage  of $ 691.64

[tex]=3.54\times\frac{691.64}{100} =24.691548=24.69[/tex]

minimum balance of Card E is  2. 51 Percentage  of  $1,014. 22.

[tex]=2.51\times\frac{1014.22}{100} =25.456922=25.46[/tex]

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

To learn more about Percentage  visit : https://brainly.com/question/19247356

Elin’s old fish tank is leaking. Diagram not drawn to scale This old fish tank is in the shape of a cuboid. The base of this tank measures 60cm by 40cm. Before the leak, the height of the water level in Elin’s old fish tank was 45cm. Elin decides to replace her fish tank with a cylindrical one. 70 cm Diagram not drawn to scale 25 cm She selects a new cylindrical fish tank that has a radius of 25cm and a height of 70cm. Will all the original contents, including the water and the fish, fit into this cylindrical tank? You must show all your working.

Answers

Step-by-step explanation:

nnsndnxnxndjenendjdnrjr

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