A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Answers

Answer 1

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

Answer 2

Answer:

[tex]\boxed {\tt 6 \ centimeters}[/tex]

Step-by-step explanation:

The volume of a cube can be found using the following formula:

[tex]v=s^3[/tex]

where [tex]s[/tex] is the side length, or edge.

We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.

[tex]216 \ cm^3 = s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].

s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216 \ cm^3} =s[/tex]

[tex]6 \ cm=s[/tex]

The length of each edge of the cube is 6 centimeters.


Related Questions

What is the easiest way to learn math?

Answers

The easiest way in my opinion is to look for things online and to practice. Memories the definitions and equations but always practice because math isn’t just definitions its knowing how to do the work.

Answer: being positive

Step-by-step explanation:try to take math as your favorite subject and just let the negative thought about math Flow away..try to listen to the teacher keenly as u do in your best subject

Write the equation for the transformation of f(x) = |x| as shown in the graph.

Answers

Answer:

f(x)= 3|x-3|+1

Step-by-step explanation:

Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!

Answer:

y = 2|x-3| + 1

Step-by-step explanation:

The vertex of g(x) = |x| is at (0,0)

We have moved the vertex to ( 3,1)

y = f(x) + C  C > 0 moves it up

y = |x| + 1 for the shift up 1

y = f(x + C)  C < 0 moves it right

y = |x-3|  for the shift to the right 3

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x| since  it is stretched by a factor of 2 in the y direction

Combining

y =2|x-3| + 1

The unit price of hot dogs is $0.50/hot dog. How much will 12 hot dogs cost?

Answers

Answer:

Price of 1 hotdog= $0.50

Price of 12 hotdogs=12x$0.50= $6.0

Hope it helps :)

12 hot dogs will cost $6

12*0.5=6

Please help! Urgent!

Answers

Answer:

Distributive property is not applied currently in Step 1

Step-by-step explanation:

3(x + 15) = y

3x + 45 = y rather than 3x + 15 = y

Please help me I am confused- qwq​

Answers

$162.50 because if you add the percentages together, you get 35%

If you subtract 35% off of 250, you get 162.50

Given that f(x) = -x and g(x) = 2x - 1. Find the value of f(3) - 9(-4).

Answers

Answer:

f(3)= -3

g(-4)=2*(-4 ) -1 =-9

Step-by-step explanation:


Answer: 6

Step by step explanation:

f(3) = - (3).
= -3

g(-4) = 2(-4) -1
= -9

f(3) - g(-4)
= -3 - (-9)
= 6

Gina has 2/3 pounds of apples. Jane has 3/5 pound of apples. Gina and Jane want to combine their apples to make an apple pie. The recipe calls for 1 1/2 pounds of apples. How many pounds of apples do they need for their pie? Show all work.

Answers

Answer:

Step-by-step explanation:

1. 3x5=15

2. 2x5=10 and 3x3=9

3 10/15 + 9/15= 19/15 or 1 and .3 so they need approx .2 more pounds

atrain travel 120km in 3hour how long would it take to cover distance of 480km?​

Answers

Answer:

It would take 12 hours to get to 480 km.

Step-by-step explanation:

if 120km is 3 hours meaning 40km per hour

that would mean that 40 x 12 = 480

1 hour = 40km

2 hours = 80km

3 hours = 120 km

Identify all properties being shown: (5x^3 + 2) + 7x^2 = (7x^2 + 5x^3) + 2

Answers

Answer:

No solutions

Step-by-step explanation:

5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2

125x + 2 + 49x = 49x + 125x + 2

-125x                             -125x

2 + 49x = 49x + 2

-2 -49x    -49x  -2

0 = 0

Hope this helped :)

math 3- Piecewise defined function

Answers

Step-by-step explanation:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Approximately 2,094,800 people took a
vacation to a state park this year. 25
years ago 158,975 people vacationed to
state parks. Approximately how many
more people visited the park than 25
years ago?

Answers

Answer: 1935825

Step-by-step explanation:

Construct a square whose area is
36 cm²

Answers

have each side be 6 cm
Squares have equal sides and 6^2 = 36

If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale factor used to draw the scaled copy

Answers

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

7(1 - 2n) < 33 - n

solve the inequality
show work

Answers

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

x-6y<-12 in slope intercept form

Answers

X-6y<-12 in slope intercept form is y > 1/6X + 2

¿Cuál de las siguientes fracciones algebraicas se puede reducir?

A.

8−x9−16x2

B.

5−x25−x2

C.

x2+4x−5x2−4

D.

3x2x2+8

Answers

Do you know how to translate that in English

what's the distance between (-14,-18) and (-25,-23)

Answers

Answer:

the answer is 12.08

Step-by-step explanation:

Use the distance between point formula

What is £36 in the ratio 2:1:1

Answers

Answer:

$18, $9, $9

Step-by-step explanation:

First get the sum of all the ratios 2+1+1 =4

Divide $36 by the sum of the ratios $36/4 =$9

Multiply each ratio by $9 to get each of the amount.

I. 2x$9= $18

ii. 1x$9= $9

Iii. 1x $9 = $9

A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?

Answers

210 feet  To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:

42feet/9.4 feet= 4.468

That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468=  210 feet.

what would be 30 +40

Answers

Answer:

70

Step-by-step explanation:

30 + 40 = 70

If you take zero + zero you get zero soo then you would take 3+4 and you get 7 so you answer will be 70

Answer the question please

Answers

The answer is A becuz if you have a fraction next to a whole number and you have to make it rational you always have a index and the exponent

slope 5/6, passes through (12,4)

Answers

Answer:

y= 5/6x -6

Step-by-step explanation:

[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]

Substitute values into point slope form

[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]

The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 5/6. Then the equation of the line will be

y = (5/6)x + c

The equation of the line is passing through (12, 4), then the value of c will be

4 = (5/6) 12 + c

4 = 10 + c

c = -6

Then the equation of the line will be y = (5/6)x - 6.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).

Answers

Answer:

[tex](g\cdot f)(0)=4[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=5x-4\text{ and } g(x)=x^2-1[/tex]

And we want to find:

[tex](g\cdot f)(0)[/tex]

This is the same as:

[tex]=g(0)\cdot f(0)[/tex]

So, find g(0) and f(0):

g(0):

Substitute 0 into g(x):

[tex]g(0)=(0)^2-1[/tex]

Square:

[tex]g(0)=0-1[/tex]

Subtract:

[tex]g(0)=-1[/tex]

And f(0):

Substitute 0 into f(x):

[tex]f(0)=5(0)-4[/tex]

Multiply:

[tex]f(0)=0-4[/tex]

Subtract:

[tex]f(0)=-4[/tex]

So, our equation is now:

[tex](g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)[/tex]

Multiply:

[tex]=4[/tex]

So, our answer is 4.

And we're done!

Solve each using mental math. ​

Answers

t= 17

h= -7

x=12

b=9

Here’s all the answers.. may you put me as brainliest answerer? thanks !

9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6

Answers

Answer:

u can use desmos

Step-by-step explanation:

Which equation correctly represents how this area model should be used? A) 500 + 140 + 160 + 50 = 850 B) 500 + 140 + 160 + 160 = 960 C) 600 + 160 + 150 + 40 = 950 D) 600 + 160 + 60 + 40 = 860 i neeeddd hhhhellllppppp

Answers

Answer:

Step-by-step explanation:

HELP PLEASE
Please find the angle measure . Do not use the degree symbol.

Please classify as acute, obtuse, right, or straight . No capital letters please.

Answers

Answer:

acute

Step-by-step explanation:

0/2020
Print Assessment
Which is a list of irrational numbers from least to greatest?
8.
A.
B.
I./8, v
18.
1. VB
18.1
C.
D.
9.
Which expression(s) is (are) equivalent to

Answers

Answer:

The first option

Step-by-step explanation:

First, we can convert all of the numbers to decimal from (it will be easier to understand that way).

[tex]\pi = 3.14\\\\\sqrt{8} = 2.82\\\frac{\sqrt{2} }{4} =.353[/tex]

Now, we can easily see which numbers are bigger/smaller.

60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

which of these comparisons is correct?

A. -2 < -5
B. 0 > 2
C. 4 > -4
D. -6 < -5

Answers

the comparison that is correct is c.
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