hii the lateral surface area of a cube is 256 m cube . find the volume of the cube

Answers

Answer 1

Answer:

512cm3

Step-by-step explanation:

A lateral surface area of a cube is 256 m2. Find its volume.

A cube is a three-dimensional shape that is made up of 6 congruent square faces.

Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.

The lateral area of a cube is the sum of areas of all side faces of the cube

Explanation:

The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.

Let the edge length of the cube be x.

LSA = x2 + x2 + x2 + x2 = 4x2

Given that, LSA of the cube is 256 m2

4x2 = 256

x2 = 256/4

x2 = 64

x = 8

Length of edge of the given cube is 8 m.

The volume of a cube is x3.

The volume of cube = x3 = 83 = 512 m3

Thus, the volume of the given cube is 512 m3.

Answer 2

The volume of the given cube is 512 m³.

What is volume of cube?

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, the lateral surface area of a cube is 256 m cube.

We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube

Now, 4a²=256

a²=64

a=8 m

The formula to find the volume of a cube is a³, where a is edge of a cube.

Thus, volume of a cube =8³ =512 m³

Therefore, the volume of a cube is 512 m³.

Learn more about the volume of a cube here:

https://brainly.com/question/11168779.

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Related Questions

A rectangular prism has a length of 3 meters, a height of 7 meters, and a width of 7 meters. What is its volume, in cubic meters?​

Answers

Volume = length • height • width
= 3•7•7 = 147 cubic meters

PLEASE HELP FAST URGENT!!!

Answers

Answer:

A= Origen C= q1 B=Q2

Step-by-step explanation

your left-hand side is quadrant TWO Your top right-hand corner is Quadrant ONE and your second to the last one is left-hand side down Is Quadrant THREE last but not least is Quadrant FOUR. And the zero in the middle means ORIGEN.

100!!! Points
Select the correct answer.
What is the range of the function shown in the graph?

Answers

See the line is parallel to x axis.The equation of that top is y<5

So

The range is

(-oo,0)U(oo,5)

So

-oo<y<5

Option D is correct

The function f(x)= -45x + 270 represents the total distance, in miles, a traveler is from home x hours after beginning the trip home. What is the average rate of change over the interval from x = 1 to x = 3, in miles per hour?

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

We have given one function f(x) = -45x + 270 The given function represents the total distance in miles. The initial interval was x = 1 and final interval was x = 3

To Find :-

We have to find the rate of change over the given interval

Let's Begin :-

Here, We have

Function = f(x) = -45x + 270

The given function represents the total distance in miles covered by the traveller.

Therefore,

For initial interval that is x = 1 , Distance covered by the traveller

[tex]\sf{ f(x) = -45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(1) + 270 }[/tex]

[tex]\sf{ f(1) = - 45 + 270 }[/tex]

[tex]\sf{ f(1) = 225 }[/tex]

For final interval that is x = 3, Distance covered by the traveller

[tex]\sf{ f(x) = - 45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(3) + 270 }[/tex]

[tex]\sf{ f(1) = - 135 + 270 }[/tex]

Now,

We have to find the average rate of change over the given time interval

Therefore,

Average rate of change in the given time interval

[tex]\sf{ = }{\sf{\dfrac{ f(1) + f(3) }{3 - 1}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 + ( -135) }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 - 135 }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 90 }{ 2}}}[/tex]

[tex]\sf{ = 45 }[/tex]

Hence, The average rate of change over the given interval is 45 miles per hour.

hey so im also looking for the first answer and the choices were “ is not “ and “ is “

Answers

so the investigator found the skid marks were 75 feet long hmmm what speed will that be?

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ d=75 \end{cases}\implies s=\sqrt{30(0.7)(75)}\implies s\approx 39.69~\frac{m}{h}[/tex]

nope, the analysis shows that Charlie was going faster than 35 m/h.

now, assuming Charlie was indeed going at 35 m/h, then his skid marks would have been

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ s=35 \end{cases}\implies 35=\sqrt{30(0.7)d} \\\\\\ 35^2=30(0.7)d\implies \cfrac{35^2}{30(0.7)}=d\implies 58~ft\approx d[/tex]

PLEASE HELP IMMEDIATELY IT WOULD MEAN THE WORLD
23 mm
14 mm

Answers

Answer:

14+19=33 33 divided by 23=?

Step-by-step explanation:

triangle with the given side is a right triangle;14mm, 19mm, 23mm ... Use the Pythagorean theorem that only works for right triangles.

PLEASE HELP ME ITS URGENT!!!!


A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 1.5). The combined
area of the garden and the walkway is 4.5(8x + 4). Find the area of the walkway around the garden as
the sum of two terms.
CD
The area of the walkway around the garden is 1
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Solving the Question

We're given:

Area (garden) = 4(5.5x + 1.5)Area (garden + walkway) = 4.5(8x + 4)

To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:

[tex]4.5(8x + 4)-4(5.5x + 1.5)[/tex]

Open up the parentheses:

[tex]= 36x +18 -22x - 6[/tex]

Combine like terms:

[tex]= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12[/tex]

Answer

The area of the walkway around the garden is 14x + 12.

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support? a. 0. 0161 kg b. 62 kg c. 15. 5 kg d. 0. 0645 kg.

Answers

A beam of length 10m can support a weight of 62kg.

It is given that

Weight W ∝ 1/ Length L

W ∝ 1/L

W = k/L...........eq1

where k is constant of proportionality

What is the constant of proportionality?

The constant of proportionality is the ratio that relates two given values.

It is given that when L= 2m, W = 310kg

310 = k/2

k = 620

So put the k value in eq1,

eq1 becomes,

W = 620/L

when L = 10

W = 620/10

W =62kg

Therefore, a beam of length 10m can support a weight of 62kg.

To get more about the constant of proportionality visit:

https://brainly.com/question/26171814


A lil help would be nice

(Explained answer will get brainlyist)

Answers

Answer:

10 cm

Step-by-step explanation:

Out of that [tex]160 cm^2[/tex], part of it is given by the surface of the top and bottom faces, which have area [tex]2\times 5 cm^2 = 10 cm^2[/tex] each, for a total of [tex]20 cm^2[/tex] . We are then left with [tex]140 cm^2[/tex] of surface from the side area. That area you can imagine as a rectangle of height h (which we need to know) and base [tex]5+2+5+2 cm = 14 cm[/tex] (imagine it as a box opened on a flat surface)

At this point we have [tex]140cm^2 = 14 cm \times h \rightarrow h= 10 cm[/tex]

A model of a skyscraper is made using a scale of 1 inch: 75 feet. What is the height of the actual building if the height of the model is 19 2/5 inches?

Answers

4. If 8 ft = 1 in
Then 60 ft = 60 x 1/8 = 7.5 in
Length of model = 7.5 in
Scale factor = 1/8

5. If 4 m = 1 cm
Then 192 m = 192/4 x 1 = 48 cm
Length of model = 48 cm
Scale factor = 1/4

6. If 1.5 ft = 2 in
Then 13.5 ft = 13.5 x2/1.5 = 18 in
Length of model = 18 in
Scale factor = 2/1.5 =1.333

Skyscraper

Scale = 1 in : 75 ft
Height of model= 19 2/5in=19.4in

Height of actual building
19.4 x 75 = 1455 ft

i need help asap pls

Answers

Step-by-step explanation:

[tex]m + 148 = 3m + 10[/tex]

[tex]148 - 10 = 3m - m[/tex]

therefore

3m = 138

m = 138/3

m = 46°

pls give brainliest

look at the attachment
Simplified it too
pls take it seriously ​

Answers

[tex]\\ \rm\rightarrowtail \dfrac{sin(180+A)+2cos(180+A).cos(A-180)}{2cos^2(360+A)-cos(-A)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2(cos^2A-sin^2A)}{2cos^2A-cosA}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2cos^2A-2sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2-2sin^2A-2sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA-4sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA(4sinA-1)}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail -tanA\left(\dfrac{4sinA-1}{2cosA-1}\right)[/tex]

Find the measurement of angle ( A ) round to the nearest hundred

Answers

Answer:

all you have to do is round to the nearest.

Step-by-step explanation:

just do it .

Which number line shows the solution of –5x + 10 > –15?

Answers

Answer:

B.

Step-by-step explanation:

-5x + 10 > -15

-5x + 10 - 10 > -15 - 10

-5x > -25

-5x / -5 > -25/(-5)

x < 5

Determine is (x-3) is a factor of
x^3 - 5x^2 - 4x + 6 using the remainder
theorem:

Answers

Answer:

(x - 3) is not a factor

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

here

f(x) = x³ - 5x² - 4x + 6 , then

f(3) = 3³ - 5(3)² - 4(3) + 6 = 27 - 5(9) - 12 + 6 = 27 - 45 - 6 = - 24

since f(x) ≠ 0 then (x - 3) is not a factor of f(x)

Which graph represents a function?

Answers

Answer:

the last one (bottom right)

Step-by-step explanation:

all the others have at least one x value with several associated y values.

but for a function, for all values of x there can be only one value of y.

After spending $6.75 on a meal and $1.25 on drinks, Maria had $12 left.
What percent of her money did Maria spend?

Answers

Answer:

40%

Step-by-step explanation:

6.75 + 1.25 = 8 (Total she just spent)

8 (Total she just spent) + 12 (Total she had left) = 20 (Total she started with)

8/20 = 0.4 = 40%

(Total spent / total she started with = 40%)

Ratio volume of 2 cylinders is 125:343

Answers

Answer:

5145cm²

125/343=1875/x

x=1875×343÷125=5145

What is the value of x? (5 points)

Answers

30 + 2x = 90
2x = 60
x = 30

Answer:
x = 30

1. If two angles of a triangle are equal and the third angle measures 110°, then find the measure of each angle ​

Answers

Answer:

35

Step-by-step explanation:

There are 3 angles in a triangle

∠1 , ∠2 , ∠3

Of which

∠1 = ∠2

∠3 = 110

By angle sum property

∠1 + ∠2 + ∠3 = 180

∠1 + ∠2 = 180-110

∠1 + ∠2 = 70

∠1 = 70 ÷ 2

=35

∠1 = ∠2 = 35

Hence , 35+35+110 = 180

Answer:

35°, 35°, 110°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the equal angles be x , then

x + x + 110 = 180 , that is

2x + 110 = 180 ( subtract 110 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

the measure of each angle is 35° , 35° , 110°

Name each polynomial by degree and number of terms.

Answers

Hєℓℓσ Tнєяє !

¶ Cσncєptѕ tσ вє uѕєd hєrє :

Degree of a polynomial íѕ thє híghєѕt pσwєr σf α vαríαвlє ín thє gívєn pσlчnσmíαl.

numвєr σf tєrmѕ = díѕtínguíѕhєd tєrmѕ ín α pσlчnσmíαl hαvíng díffєrєnt єхpσnєntíαl pσwєr, αnd ѕєpєrαtєd вч mαthєmαtícαl σpєrαtσrѕ ( + αnd - )

tє :

#1. Combine the like terms before performing any operation.

#2. íf thєrє íѕ α multíplícαtíσn σr dívíѕíσn σpєrαtσr ín thє pσlчnσmíαl, wє hαvє tσ fínd thє prσduct fírѕt tσ pєrfσrm αnч σthєr σpєrαtíσn.

✿ lєt'ѕ prσcєєd ~

[tex]\sf \#1 \: \: \: \{-9 {x}^{4} - 3x \}[/tex]

dєgrєє : 4 [ frσm -9х⁴ ]

numвєr σf tєrmѕ : 2

[tex]\rule{20cm}{1 mm}[/tex]

[tex]\sf \#2 \: \: \: \{-2v \}[/tex]

dєgrєє : 1 [ frσm -2v ]

numвєr σf tєrmѕ : 1

[tex]\rule{20cm}{1 mm}[/tex]

[tex] \sf \#3 \: \: \: \{9 {n}^{3} - 6n + 10\}[/tex]

dєgrєє : 3 [ frσm 9n³ ]

numвєr σf tєrmѕ : 3

[tex]\rule{20cm}{1 mm}[/tex]

[tex] \sf \#4 \: \: \: \{3 + 4 p {}^{4} + ( 4{p}^{4} - 5)\}[/tex]

[ cσmвínє thє líkє tєrmѕ ]

[tex] \sf \#4\: \: \: \{ 8p {}^{4} - 2\}[/tex]

dєgrєє : 4 [ frσm 8p⁴ ]

numвєr σf tєrmѕ : 2

[tex]\rule{20cm}{1 mm}[/tex]

[tex]\sf \#5 \: \: \: \{(8v+6v³) - ( v - 3v {}^{3 }{+ 5 {v}^{2} } )\}[/tex]

[ cσmвínє thє líkє tєrmѕ ]

[tex]\sf \#5 \: \: \: \{9v³ - 5 {v }^{2} + 7v \}[/tex]

dєgrєє : 3 [ frσm 9v³ ]

numвєr σf tєrmѕ : 3

[tex]\rule{20cm}{1 mm}[/tex]

[tex] \sf \#6 \: \: \: \{(3y + 4)(2y - 6) \}[/tex]

[ pєrfσrm thє multíplícαtíσn ]

[tex] \sf \#6 \: \: \: \{ 6 {y}^{2} - 10y - 24\}[/tex]

dєgrєє : 2 [ frσm 6y² ]

numвєr σf tєrmѕ : 3

[tex]\rule{20cm}{1 mm}[/tex]

Keep learning ~

[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

Shelley drew a scale drawing of the high school. She used the scale 5 millimeters: 3 meters.
If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?

Answers

Answer:

70 meters

Step-by-step explanation:

Based on the given conditions, formulate:: 45x5/3

Cross out the common factor: 14x5

Calculate the product or quotient: 70

The width of the parking lot in the drawing is, 70 milliliters.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

She used the scale 5 millimeters: 3 meters.

And, The actual width of the parking lot is 42 meters.

Hence, We can formulate;

The width of the parking lot in the drawing = 42 × 5 / 3

                                                                  = 70 milliliters

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Also 5 3/7 x 3 1/2 Thanks

Answers

Answer: 19

5 3/7 to an improper fraction is = 38/7
3 1/2 to an improper fraction is = 7/2

38x7 = 266
7x2 = 14

266/14 = 19

The equation for the axis of symmetry is

Answers

Answer:

I believe it is x=−b2a

Step-by-step explanation:

Looked it up

A bag contains colored tiles 6 tiles are green 3 tiles are blue 3 tiles are red a tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? record your answ. Be sure to use the coreect place value correct place value.​

Answers

Answer:

6/12 = 0.5

Step-by-step explanation:

you add all the other tiles plus the green and then you do the green divided by that number

Solution:

Note that:

Probability that the tile will be green: Green tiles/Total tiles

Green tiles/Total tiles=> 6/6 + 3 + 3=> 6/12 = 1/2 = 50/100 = 0.5

The probability (In decimal) of obtaining a green tile is 0.5.

Colin is c years old. His 14 year old sister, Katie, is 4 years younger than Colin. write an expression

Answers

Answer: C - 4 = 14

Step-by-step explanation: In the expression, "c" is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.

Ms. Yang left work at 5:15 p.m. She
went to the gym for 90 minutes,
and then it took her 40 minutes to
drive home. What time did Ms. Yang
get home?

HELP ME PLEASE ( 5th grade math )

Answers

Ms. Yang got home at 7:25pm

Answer:

7:25

Step-by-step explanation:

Overall it took her 130 minutes while she was out so if you put that in time measurement it would be 7:25.

which of the follwoing are solutions to the inequality -7x+14>-3x-6

Answers

greetings! let’s solve this shall we?


So,
7x + 14 > -3x - 6

14 > -3x - 6 + 7x

14 > 4x - 6

20 > 4x

5 > x

Given that AB is a line segment and the angle a = 20°, work out the value of x . The diagram is not drawn to scale.

Answers

Answer:

32°

Step-by-step explanation:

line segment= 180 - 20 (we know that) 160. divide that by 5 (cause there are 5 x's, gets you 32°

The perimeter of a notebook is 40 inches. The area is 100 square inches. What are the dimensions of the notebook?

Answers

each side of the notebook is 10 inches.

we know this because to find perimeter, you have to add all sides. 10+10+10+10= 40.
to find the area you multiply base times height and 10x10=100.
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