7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answers

Answer 1

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520


Related Questions

Is 26 a multiple of 2,3, and 6?

Answers

Answer:

i believe that its only a multiple of 2

Answer:

2

Step-by-step explanation:

The meadian of 26 29 31 33 36

Answers

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

the answer is 31 the median is the number in the middle and if you cancel out the 2 numbers on the left and right 31 is the middle number

Find the image of D under the translation described by the translation rule T<-11, 8>
- E
- C
- A
- B

Answers

Answer:

B

Step-by-step explanation:

(x +(-11)) means that you move point D to the left by 11.

(y + 8) means that you move the point D up by 8

this will give you a point B

173.59x10 3 . Please help me get this i have been working on it for 2 hrs

Answers

1,735.9..................................

Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

x + z = y

y + z = x

x + y + z = 180 degrees

x + y + z = 90 degrees

Answers

Answer:

y + z = x

Step-by-step explanation:

MATH DON'T GIVE ME A LINK ANSWER ASSP

Answers

Answer:

The Answers are D and E

Step-by-step explanation:

all have 1 pair of parallel sides

like the 2 Ls in the word Parallel

Answer:

D and E

Step-by-step explanation:

A. Wrong: is a quadrilateral but has TWO pairs if parallel sides.

B. Wrong: is also a quadrilateral but also has TWO pairs if parallel sides.

C. Wrong: has only ONE pair of parallel sides, but is not a quadrilateral.

D. Right: is a quadrilateral with only ONE pair of parallel sides.

E. Right: is a quadrilateral with only ONE pair of parallel sides.

Dominick's class flew model airplanes. He recorded the flight distances in a line plot. What is the difference between the longest and shortest distances the model airplanes​ flew? *

A.3 FEET

B.3 1/2 FEET


C.3 3/4 FEET


D.4 FEET







PLS HELP MEEEE

Answers

1 foot is the difference between the longest distance and shortest distance.

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 18 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Answers

Answer:

if it was 29inches it would be 78.7

Step-by-step explanation:

The given altitude and the base length of the triangle can be used for

finding the lengths of the other two sides.

The perimeter of the triangle is approximately 73.0 inches

Reasons:

The altitude is the perpendicular bisector of the base of the triangle

Length of the altitude = 26 inches

Length of the base of the triangle, b = 18 inches

Required:

The perimeter of the triangle

Solution:

The base length of the two congruent triangles formed are [tex]\dfrac{18 \, cm}{2}[/tex] = 9 cm

each.

Therefore;

The length of the hypotenuse side, L, is given by Pythagoras's theorem as

follows;

L² = 9² + 26² = 757

The hypotenuse side, L = The length of the equal sides of the isosceles triangle

Therefore, the perimeter of the triangle, P = b + 2·L

Which gives;

To the nearest tenth, the perimeter of the triangle, P = 18 + 2·√(757) ≈ 73.0

The perimeter of the triangle, P ≈ 73.0 inches

Learn more here:

https://brainly.com/question/19267912

hii please help asap ill give brainliest thanks

Answers

Answer: b

Step-by-step explanation:

Because he establish and strong government in 322 bce and  He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right

HELP PLEASE!

Eight light poles are evenly spaced along a street. A total of 140 plastic pipes of the same length are placed EQUALLY between the 8 poles.

a) How many pipes are placed between the FIRST and SECOND poles?

b) Each pipe is 6 meters long. The pipes are connected end to end just touching each other between the poles. What is the distance between the first and second poles?

Answers

Answer:

n m n .m .nmn nm Step-by-step explanation:

Solve the following equations mentally 1. 5 – x = 8 2. -1 = x – 2 3. -3x = 9 4. -10 = -5x

Answers

Answer:

1. 5 – x = 8 , x = -3

2. -1 = x – 2 , x = 1

3. -3x = 9 , x = -3

4. -10 = -5x , x= 2

Step-by-step explanation:

Answer:

1. x= -3 ,2. x=1 , 3.x= -3 ,4.x=2

20% of a is 11 what is a

Answers

Answer: 20% of 11 is 2.2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

To solve this set up a proportion. This proportion should be in part/whole form. This means to divide the part (aka 11) by the whole (aka the variable), additionally, 20% can be made into a fraction by dividing it by 100. So the proportion is [tex]\frac{20}{100} =\frac{11}{x}[/tex]. Then, cross multiply. Once this is done the new equation is [tex]20x=1100[/tex]. Next, divide both sides by 20. This gives you [tex]x=55[/tex], therefore 11 is 20% of 55.

Please help me with this question!

Answers

Here's the solution,

volume :

=》

[tex] \dfrac{1}{2} \times 12 \times 5 \times 3[/tex]

=》

[tex]90 \: \: m {}^{3} [/tex]

surface area :

=》

[tex](13 \times 3) + (5 \times 3) + (12 \times 3) + (2 \times \dfrac{1}{2} \times 12 \times 5)[/tex]

=》

[tex]39 + 15 + 36 + 60[/tex]

=》

[tex]150 \: \: {m}^{2} [/tex]

the answer is 150 m2 your welcome

this is on simple interest i’m really confused

Answers

Answer:

time = 2 1/2 years

Step-by-step explanation:

Interest = Principal x Rate x Time

450 = 6000 x .03 x t

450 = 180t

450/180 = t

5/2 = t

time = 2 1/2 years

what is the answer to 26=179-9k

Answers

_
16.6 is the answer. Hope this is right, i’m pretty sure i did it correctly

Para la actuacion del dia de la madre , se colocaron en el patio 40 filas de 32 asientos para cada una. Para la siguiente actuacion,quieren acomodarla mismas cantidad de asientospero esta vez en 64 o en 60 filas ¿como seria la distribucion

Answers

Answer:

En 64 filas habrá 51 asientos

en 60 filas habrá 48 asientos

Step-by-step explanation:

Spanish

Primero se averigua la relación entre las filas y los asientos.

40: 32

Dividiendo por 8

5: 4

Usando esta relación podemos encontrar el número de asientos en el número dado de filas.

Si el número de filas es 64 entonces

Asientos de filas

64 x

5 4

Uso de la regla de productos cruzados

x = 64 * 4/5 = 51,2

En 64 filas habrá 51 asientos

Si el número de filas es 60 entonces

Asientos de filas

60 x

5 4

Uso de la regla de productos cruzados

x = 60 * 4/5 = 48

en 60 filas habrá 48 asientos

English

First the ratio of the rows to the seats is found out

40 : 32

Dividing by 8

5: 4

Using this ratio we can find the number of seats in the given number of rows.

If the number of rows is 64 then

Rows           seats

64                 x

5                   4

Using cross product rule

x= 64*4/5= 51.2

In 64 rows there will be 51 seats

If the number of rows is 60 then

Rows           seats

60                 x

5                   4

Using cross product rule

x= 60*4/5= 48

in 60 rows there will be 48 seats

On Friday, 153 people went to the movies in Smalltown. On Saturday and Sunday, 337 people went to the movies. On Friday and Saturday, 391 people went to the movies. How many people went to the movies on each day? Friday:. Saturday:. Sunday:

Answers

Answer:

Friday: 153 people  Saturday: 238  Sunday: 99

Step-by-step explanation:

Subtract 153 from 391 to find the people on Saturday (238). Subtract 238 from 337 to find the people on Sunday (99).

The slope of a line is -5, and the y-intercept is at (0, 4). What is the equation of the line in the slope-intercept form?

A. y= 4x-5
B. y= 5x-4
C. y= -4x+5
D. y= -5x+4

Answers

I think the answer is B

What is the vertex for this function? y=2x2−12x+16

Answers

Answer:

(3,-2)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex

its for 7th grade plss help me

Answers

Answer:

x ≤ 40

Step-by-step explanation:

x >= -5x8

x =< 40

Hi! Answer this please!

Answers

Answer for this question is D : 1/4
1/4 !!!!!!!!!!!!!!!!!!!!!!!!!

Carl wants some ice cream. The probability that he will get the following flavors are: Flavor Probability Chocolate chip 0.25 Caramel Critters 55% Blueberry cheesecake 1/5 Order the ice cream flavors according to their chances of availability from least to most likely. ​

Answers

The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The chances of availability:

Blueberry cheesecake - 1/5 = 20%Chocolate chip =  0.25 = 25%Caramel Critters = 55%

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Please help me I’m stuck

Answers

Answer:

[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]

A rancher's herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture's aerial photography division. Here are three samples of the images.

Sample 1 : 4
Sample 2 : 1
Sample 3 : 9

How do the sample statistics compare to the population mean and standard deviation?

Please explain this to me. I don't get it, and I feel like it is driving me nuts. I will mark the best answer the brainliest.

Answers

Answer:

Sample 1 : 4 is the answer of your question

hope it is helpful to you

f(x)=2^x is the function to calculate the number of sections there will be when a paper is folded x times. What is the average rate of change in the number of sections based on the number of folds in the interval [3,6]?

Answers

PLEASE READ THIS EXPLANATION: It is an EXTREMELY foundational concept in algebra that must be understood. Ask questions in the comments if you do not understand anything because I love helping others learn! Do not be shy. :)

Alright, so let's just understand the problem. The interval [3,6] means that the smallest x-value is x=3 and the largest x-value is x=6, and they both INCLUDE x=3 and x=6 (It would exclude x=3 and x=6 if it was like interval (3,6) with parentheses). Since f(x) is an exponential function, the change per x is not consistent and its growth actually grows as it continues in the direction of infinity, so that is why the average rate of change is interesting and very much relies on what range there is. The average rate of change from x=3 to x=6 will be far smaller than the average rate of change farther down the road at x = 99999 and x = 100003.

So, how do we find the average rate of change? All you have to do is find the slope between two points. Simple as that.

So, how do we apply that here? Imagine a graph with two points, one point at x = 3 and one point at x = 6 and we do not know the y-value of either of these points. So, that's our first step!

We need to first find how much it grows at x=3 and x=6 separately to find the the y-value of these points. f(x) = 2^x for x = 3 means y = 8, and f(x) = 2^x for x = 6 means y = 64. We now have two points:

(3, 8) and (6, 64)

Now, all we have to do is find the slope between these lines. All we have to do is use the normal formula for finding slope:

(y₂ - y₁) / (x₂ - x₁) OR (y₁ - y₂) / (x₁ - x₂)

Most people use the first one, but they give you the exact same answer, so don't ever think it's impossible to use the second one. Let's just use the first formula anyway.

(3, 8) = (x₁, y₁)

(6, 64) = (x₂, y₂)

Now, let's use the formula (remember you can use either one because it won't affect your answer):

(y₂ - y₁) / (x₂ - x₁) = (64 - 8) / (6 - 3) = 56 / 3 = 18 and 2/3

So, the average rate of change is 18 and 2/3 or 18.666666667.

350 people watched a beauty contest. Some paid GH¢20.00 each while others paid GH¢30.00 each. The total amount collected was GH¢8,800.00. Find how many paid the two different rates.

Answers

Answer: 170 people paid GH¢20 and 180 people paid GH¢30

Step-by-step explanation:

Let the number of people that paid GH¢20 be represented by x.

Let the number of people that paid GH¢30 be represented by y.

Based on the above information given, we can form an equation which will be:

x + y = 350 ....... i

20x + 30y = 8800 ....... ii

Multiply equation i by 20

20x + 20y = 7000 ...... iii

20x + 30y = 8800 ...... iv

Subtract iii from iv

10y = 1800

y = 1800/10

y = 180

Since x + y = 350

x = 350 - y.

x = 350 - 180

x = 170

Therefore, 170 people paid GH¢20 and 180 people paid GH¢30

HELP!!! answer quickly pls

Answers

Answer:

The answer is the 2nd one.

Step-by-step explanation:

It is the only one that makes sense.

Hope this helps you.

Write your question here (Keep it simple and clear to get the best answer) If jun has 12 T-shirt 6 pairs of parts, and 3 pairs of share, how many possibilities can be'drace himself up for the day?

Answers

Answer:

the number of possibilities that can be drace himself up for the day is 216

Step-by-step explanation:

Given that

jun has 12 t-shirts,6 pairs of pants and 3 pairs of shoes

We need to find out the possibilities that can be drace himself up for the day

So here

[tex]= 12C_1 \times 6C_1 \times 3C_1\\\\= \frac{12!}{1!(12 - 1)!} \times \frac{6!}{1!(6 - 1)!} \times \frac{3!}{1!(3 - 1)!}\\\\= \frac{12!}{1!(11)!} \times \frac{6!}{1!(5)!} \times \frac{3!}{1!(2)!}\\\\= 12 \times 6 \times 3\\\\= 216[/tex]

Hence, the number of possibilities that can be drace himself up for the day is 216

The same would be considered and relevant too

Find the value of X.
128°
x"
82°
40°

Answers

Answer: 110

Step-by-step explanation:

The sum of the total measures of the angles in any quadrilateral is 360. so:

128 + 40 + 82 = 250

360 - 250 = 110

Five times of a number divided by 7 more than the number.If the result is 2 then what is the orignal number.

Answers

Answer:

n = 14/3 or 4 2/3

Step-by-step explanation:

n = a number

5n/(7+n) = 2

cross-multiply to get:

5n = 2(7+n)

5n = 14 + 2n

3n = 14

n = 14/3 or 4 2/3

Other Questions
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