if the cube above has a surface area of 54cm^3, what is the volume of the cube?

Answers

Answer 1

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.


Related Questions

Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.

(x + a)(x+b)

Answers

Answer:

(x-4.72)(x+5.72)

Step-by-step explanation:

I2+ i - 72

is it i^2+i-72?

(x-4.72)(x+5.72)

Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?

Answers

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  [tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)

Answers

Answer:

1.7miles

Step-by-step explanation:

You have to multiply 14 by 3 and divide 14 by 8

Something like this

14x3/8

which would give you around 1,7miles

> Find the slope of the line passing through the points (-3, -8) and (5.6).

Answers

Answer:

y=1.75x-2.75 slope would be 1.75

Step-by-step explanation:

Use a Regression Calculator

TIMED Be FAST PLS
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

How many unique random numbers must be read from the table of random digits?

A 5
B 15
C 60
D 75

Answers

Answer:

C

Step-by-step explanation:

Trust me just took the test

75  unique random numbers must be read from the table of random digits

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 75  unique random numbers must be read from the table of random digits

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Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:

Answers

the area of a shape is given by: length*width

400*60 is 24000

So, 24000f feet^2 is the area

Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?​

Answers

Answer:

the percent of the pies did she sell is 84%

Step-by-step explanation:

The computation of the percent of the pies did she sell is as follow;

= Number of pies sold ÷ total number of pies purchased

= 42 ÷ 50

= 84%

Hence, the percent of the pies did she sell is 84%

We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come

Three vertices of parallelogram DEFG are D(-2, – 4),F(0,7), and G(1,0). Find the coordinates of E.

Answers

Answer:

(-3,3)

Step-by-step explanation:

I just put the points on a graph, and counted how far away from each other they were, and found the last Point.

I hope this helps!

The coordinates of vertex E of parallelogram DEFG is: (-3, 3).

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.

The given vertices of parallelogram DEFG are:

D(-2, – 4),F(0,7), and G(1,0)

Let (x, y) = coordinates of vertex E.

Find the coordinates of E

Find midpoint of D(-4, - 2) and F(3, 3) using  :

[tex](\dfrac{-2+0}{2}, \dfrac{-4 + 7}{2}) = ( \dfrac{x + 1}{2}, \dfrac{y + 0}{2})[/tex]

[tex](-2, 3) = (x + 1, y)[/tex]

By comparison So, we have:

-2 = x + 1

x = -3

and

y = 3

Therefore, the coordinates of vertex E is: (-3, 3).

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I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!

Answers

Answer:

Starting from the left.

4 × 3

5 × 5

2 × 5

4 × 5

4 × 4

1.5 × 2

Step-by-step explanation:

Divide all dimensions by 8.

the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.​

Answers

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

helpppppppppppppp plssssssssss

Answers

Answer:

a) 40%

b) 1400

c) 700

Step-by-step explanation:

Hope this helps!      :3

Plz mark as Brainliest!

Can someone please help and give the right answer

Answers

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.

Statement                             Reason

RS ⊥ TS and RV ⊥ TV           Given

∠S = ∠V are right angles      Definition of perpendicular. Since RS ⊥ TS,

                                               hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°

ST ≅ VT                                  Given

RT ≅ RT                                  Reflexive property of congruence

ΔTSR  ≅ ΔTVR                      Hypotenuse leg congruence theorem. For

                                              two right triangles, if the hypotenuse and leg

                                              of one triangle is the same as the hypotenuse

                                              and leg of the second triangle, then the two

                                               triangles are congruent.

RS ≅ RV                                  Definition of congruency.

HELP ME PLSSSSSS IM ALMOST DONE !!! Owen took a road trip to Utah. He traveled 615 miles. He put a total of 30 gallons of gas in his tank . What is his average MPG?

Answers

The average is 20.5 MPG

Answer:

Step-by-step explanation:

BRAINLIEST!!- Find 0.25of 40

Answers

Answer: 25% of 40 or 0.25 of 40 is 10.

Step-by-step explanation:

Basically you have to divide 40 by 10 because 1/4 of 100 is 25. 25 is 1/4 of 100.

So knowing this 40/0.25 is equal to 10. This is why 0.25 of 40 is 10.

Pls help I’ll brainlest due today

Answers

just use the app desmos it helps with graph solving like this

Answer:

All you have to do is plot one point at (0,0) and another one at (7,2) that should give you a line. The equation is y=2/7x or y=0.2

HELP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

Mu answer is 9/4 I am nor explain

Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)

Answers

Answer: m = 0.75

Step-by-step:

Find the length of WZ
a. 25
b. 18
c. 9√2
d. 9

Answers

Answer:

18

Step-by-step explanation:

wz/18√2 = sin 45° = √2/2

wz = 18√2 x √2 / 2 = 18

Which number is greater...0987 or .12? Explain how you know​

Answers

Answer:

.12

Step-by-step explanation:

.12 is equal to 12/100

and .0987 is equal to 0987/10000

someone please help

Answers

Answer:

b

Step-by-step explanation:

i dont kno lol

A recipe calls for 1 and 1/3 cups of flour. If Yasmin decides to quadruple the recipe, how many cups of flour will she need?

A. 4 and 1/12
B 4 and 1/3
C 5 and 1/12
D 5 and 1/3

Answers

Answer:

20

Step-by-step explanation:

Assuming that is 3 1/3 C per batch.

(3 1/3)(6)

(10/3)(6)  

(10)(2)

20

i) If 12 men can do a piece of work in 72 days. In how many days will 24 men do the same work? *


i) Find the final amount to be paid to the bank if Rs. 7000 is borrowed for 4 years at a rate of 6 % per annum. *
2 points

Answers

Answer:

Question 1 answer is 144

Step-by-step explanation:

just multiply

Answer:

1. 36 days, 2. $8,680

Step-by-step explanation:

1. We know that 12 men can do the work in 72 days, so if you add double the men, it will take half the time. Half of 72 is 36, so our answer is 36 days.

2. If $7,000 is borrowed, that person owes $7,000 so far, but they keep it for 4 years with an annual interest rate of 6%. To solve this, we need to find 6% of 7,000. To do this, we multiply 7,000 by .06. That gets us 420. Now, we multiply 420 by 4. That gets us 1,680. Now, we add 1,680 and 7,000. That gets us 8,680. That means the final amount owed is $8,680.

A value of 600 increases by 15%.

What is the new value?

Step 1 - change 15% to a decimal

Step 2 - multiply the decimal by 600

Step 3 - Add your answer from step 2 to 600 to get your answer.

Answers

Answer:

your steps are correct.

[tex]600 \times 15\% = 90 \\ new \: value = 600 + 90 \\ = 690[/tex]

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $810. Otherwise, you have to pay your friend $49. Step 2 of 2 : If this same bet is made 914 times, how much would you expect to win or lose

Answers

Answer:

Step-by-step explanation:

We all know that there are 52 cards prszent in a deck out of which 13 are diamonds. Hence, the probability that both cards are spade is

13/52 * 12/51 =

0.25 * 0.235 =

0.0588

If both cards turn out to be diamonds, the friend pays $810 which is

$810 * 0.0588 = $47.628

On the other hand, the probability that both cards isn't a diamond is simply the negation of the probability that it is a diamond.

1 - 0.0588 = 0.9412

And you would have to pay your friend

$49 * 0.9412 = -$46.12, with the prefixed negative sign telling us that it's a lost bet.

Anaerw this pls ill give pointa

Answers

Answer:

B. C. D. E ALL HAVE FOUR SIDES

Answer:

B

Step-by-step explanation:

Give the domain and range of the relation.

Answers

Answer:

  (a)  D: {-5, 0, 4, 6}; R: {-9, 0, 9, 13}

Step-by-step explanation:

The domain is the list of values in the x-column.

The range is the list of values in the y-column.

It is useful, but not essential, that the values be listed in numerical order.

  x-values are 4, 6, 0, -5, so we can say the domain is {-5, 0, 4, 6}

  y-values are 9, 13, 0, -9, so we can say the range is {-9, 0, 9, 13}

Please answer this 7/8 - 6/7

Answers

Answer: [tex]\frac{1}{56}[/tex].

Step-by-step explanation:

First, we need to find a common denominator. Which is 56.

So the fraction for 7/8 will be [tex]\frac{49}{56}[/tex] and 6/7 will be [tex]\frac{48}{56}[/tex].

[tex]\frac{49}{56} - \frac{48}{56} = \frac{1}{56}[/tex].

So [tex]\frac{1}{56}[/tex].

What is 30 ÷ 14 written as a fraction?

Answers

Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7

The value of the expression is 15/7.

What is division?

Division is the process of dividing a number by a given number.

The given expression is 30 ÷ 14.

Solve the expression as follows:

30 ÷ 14

= 30/14

= 15/7

Hence, the value of the expression is 15/7.

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Find the slope of each line.

Answers

Answer:

D

Step-by-step explanation:

What is the value of x in the equation (x + 12) = (x + 14) – 3?​

Answers

x = 15

(15 + 12) = (15 + 14) - 3

27 = 29 - 3 (true)
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