Mathematics College

If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units
​

Answers

Answer 1

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

[tex]V_1=a^3[/tex]

Where, a is the side length of cube.

[tex]V_1=(1)^3[/tex]

[tex]V_1=1[/tex]

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

[tex]V_2=l\times b\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=2,b=3,h=4[/tex], we get

[tex]V_2=2\times 3\times 4[/tex]

[tex]V_2=24[/tex]

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{24}{1}[/tex]

[tex]n=24[/tex]

Therefore, 24 cubes can be fit into the given space.

Related Questions

A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole

Answers

Answer:

45/22

Step-by-step explanation:

If x= 4, calculate the value of: 3x2 + 4x

Answers

Answer 64
Step by step exploration
3*4*4+4*4=48+16=64

Answer:

64

Step-by-step explanation:

x = 4

Substitute x and calculate:

3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64

can someone please answer this I need extreme help.
​

Answers

27
To start off you’ll need to separate the shape into different parts to find the area so we have a square and a rectangle. Since 3x3=9 then 2x9=18 so you add them together you will get 27

Answer:

hope this will help you more

2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =

Answers

Answer:

lateral area = 308 ft

surface area = 616 ft


HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

y= -2/3x+9

Step-by-step explanation:

just do y=mx+b

How many times greater is the value of 5 in 532,874 than the value of 451,073?​

Answers

Answer:

10 times greater is the value of 5 in 3,590 than the value of 5 in 359.

Step-by-step explanation:

Complementary and supplementary angles

Answers

Complementary angles- equal 90º
Supplementary angles- equal 180º

That little box in the corner of the figure indicates 90º, meaning it will be formed by complementary angles
So, to find xº, subtract the known angles from the total 90
90-29 = 61º
Thus, xº is 61º

whats 2 plus 7 plus 3

Answers

Answer:

Hi, there your answer will 12

2+7+3=12

Have a nice day

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I added it up XD Thanks for the points.

Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT

Answers

Answer:

B. By personal experimentation and testing

Step-by-step explanation:

The answer is b. By deciding which events are unpredictable

3x[9-(4+2)divide by 2

Answers

Answer:

4.5 or 9/2 using bodmas ruke

Mr. Litterski creates a ball from rubber bands.



The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!

Answers

Answer:

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Step-by-step explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

[tex]A = 4\pi r[/tex]

In which r is the radius.

Volume:

[tex]V = \frac{4\pi r^3}{3}[/tex]

The circumference of the ball is 9.4 inches.

So the radius is:

[tex]6.2832r = 9.4[/tex]

[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]

Surface area

[tex]A = 4\pi(1.53)^2 = 29.3[/tex]

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.

14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y​

Answers

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

What is the surface area of the figure below?

Answers

12 ft

Step-by-step explanation:

6 ft+3 ft+3 ft=12 ft

The answer is 54. 6x3x3=54

ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT

Answers

Answer:

A

Step-by-step explanation:

A shows a counterclockwise 90° rotation, so it is the correct answer.

B shows a reflection.

C shows a translation.

According to the multiplication table, what is
the product of the polynomials?

Answers

Answer:
A

Step by step explanation:

i will give Brainiest if you are right

Answers

Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

In which quadrant would you find the point 4 and 8

Answers

Answer:

Quadrant 1

Step-by-step explanation:

Paul purchased a new fish tank, represented by the diagram below.
The height, h, of the tank is 3 feet, and the width, w, is 6 feet longer than the length, l. The volume of the tank (V=lwh) is 60 ft^3.
Write an equation that could be used to calculate the length of the tank.
Determine the exact length of the tank in simplest radical form.

Answers

Answer: l=-3+square root of 29

Step-by-step explanation:

I got this on my math homework

After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink

Answers

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who  participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

Learn more about probability here:

https://brainly.com/question/23471143

#SPJ2

any help please .. using the last of my points for this :/

Answers

1. Exponential would be the best option to model the data because of the large increase. It would be more difficult to model it linear because the linear values would jump from 10 to 34 to 91 etc. there is a no correlation between them.
2. We can tell which function is the best based on the y values and x values. Especially with key words like double or triple we know that’s it going to be exponential. Linear would be like if we were presenting a graph for tickets and prices which is a straight line with increasing x and y values and the rate of change is constant.
Exponential usually have a consistent multiplier so it won’t be the same but there will be a pattern.
3. 4 data points would be 1,2,3,4 for x values and for y (2,4,6,8). I set up the data to be constant the x values are adding by 1 and the y values are added by 2. If we were graphing this it would obviously be a straight line.

classify the triangle by its sides and by measuring of its angles

Answers

4.Acute i believe because one side is bigger
5. Is a right triangle because of its right angle

What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?

Answers

Answer:

2200 cubic cm

Step-by-step explanation:

The volume of a rectangular prism is found using the formula:

V = l*w*h

V = 10 cm * 20 cm * 11 cm

V = 2200 cubic cm

Answer: 2200

Step-by-step explanation:

Tiffany quiz grades on 1st 4 quizzes are 72,87,83,90

Answers

Answer:

90

Step-by-step explanation:

72 is the least and 90 is the greatest

87 is the second most greatest and 83 is the third most.

Therefore the answer is 90

Here’s the next problem:)

Answers

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

Answer:

Disagree

Step-by-step explanation:

x actually equals 53.13

VERY URGENT PLEASE HELP!!!!

Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?

Answers

Answer:

720 I think not sure if im right

Answer: 720 pennies

Step-by-step explanation:

1/2 = 3/6 and 2/3 = 4/6

So the 120 pennies she added was 1/6 of the total size

6 x 120 = 720

In the first week of​ July, a record 1,020 people went to the local swimming pool. In the second​ week, 125 fewer people went to the pool than in the first week. In the third​ week, 145 more people went to the pool than in the second week. In the fourth​ week, 224 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Step-by-step explanation:

Percent decrease:

The percent decrease is the decrease multiplied by 100 and divided by the initial value.

Decrease was of:

Second week: - 125

Third week: - 125 + 145

Fourth week: -125 + 145 - 224 = -204

Decrease was of 204.

Percent decrease:

Initially 1,020, then a decrease of 204. So

204*100%/1020 = 20%

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Answer: 20%

Step-by-step explanation: jst trust me im gang frl nd i wont get it wrong i promi

How much interest would Ms. Saver earn at the end of 1 year if she placed $5000 in a
bank that paid 3% interest?
A $10.50
B. $15.00
C. $150.00
D. $1500.00

Answers

When in doubt pick c my friend

of you would Write a decimal that represents the value of one $1 bill and 5 quarters how would you write that?

Answers

Well $1 bill and 5 quarters would be written as 1.25 in decimal form.

This is because 4 quarters equal $1.00. You add another quarter and you get $1.25. Hope this helps!!

Find the area of the parallelogram shown below 5 3

Answers

Answer:

15 square units

Step-by-step explanation:

If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.

All you have to do is length x height

5 x 3 = 15

please i really need help with this

Answers

It’s 2
Explanation

2468
You have to constantly add 2
0246
You have to constantly add 2
Which means it’s 2
I don’t really know the answer but the other person wanted the BRAINLIEST so ima comment so he can get it :)
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