A cuboid has a volume of 24 cm^3. What can its maximum surface area be, if its length, breadth, and height are integers?

Answers

Answer 1

Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit


Related Questions

Janine and Laura both took a standardized math test. The test scores were normally distributed with a mean of 75 and a standard deviation of 11. Janine earned a score of 76, whereas Laura earned a score of 89.
About what percentage of people had a score between Janine's and Laura's scores?

a) 30%
b) 43%
c) 80%
d) 36%

Answers

About what percentage of people had a score between Janine's and Laura's scores?

Answer:

Its D) 36%

please uhm help me heh

Answers

Answer:

d=90°

e=81°

f=99°

Step-by-step explanation:

To find f

180-81

=99

Answer:

d = 90°

e = 81°

f = 99°

Step-by-step explanation:

Have a nice day!

A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?

Answers

Answer:

x = 30

Step-by-step explanation:

Plug in 56 in place of  y, then solve for x.

56 = 1.5x + 11

Subtract 11.

45 = 1.5x

Divide both sides by 1.5.

45/1.5 = x

30 = x

Answer:202

Step-by-step explanation:

I did it

please help! it is so confusing

Answers

Answer:

4 maybe I don't understand what or how to do this but W is similar to M. I don't really know.

Step-by-step explanation:

EASY MATH!!! GIVING BRAINLIEST!!

Answers

Answer:

55

Step-by-step explanation:

So lets take our 50 dollars.

Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.

Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:

50*1.05

=

52.5

52.5*1.05

=

55.25

So your answer is 55 dollars(rounding down).

Hope this helps!

Answer:55

Step-by-step explanation:

Megan was painting on a rectangular canvas, and needed a frame for it. The length of the frame is 15 inches and the width is 10 inches. What is the perimeter of the frame?

Answers

Answer:

50 inches

Step-by-step explanation:

Hi there!

[tex]P=2l+2w[/tex] where l is the length of the rectangle and w is the width of the rectangle

Plug in the length (15 inches) and width (10 inches)

[tex]P=2(15)+2(10)\\P=30+20\\P=50[/tex]

Therefore, the perimeter of the frame is 50 inches.

I hope this helps!

What is the solution to this equation?

Answers

Answer:

C. x = 7

Step-by-step explanation:

(7+6) = 13

2(7) - 1 =

14- 1 = 13

13-13 = 0

the answer correct answer is c

help me out thankyou​

Answers

Answer: A

Step-by-step explanation:

I took the test

answer is A, i took the test

Student tickets cost $2.00 and everyone else
is $4.00. If $500 was made by selling 175
tickets, how many student tickets were sold?

Answers

Answer:

Student =100

Step-by-step explanation:

Can you pls help me

Answers

The answer is 10 ......

What is the diameter of the circle?

A) 6 inches
B) 24 inches
C) 26 inches
D) 48 inches

Answers

Answer:

24 inches

Step-by-step explanation:

diameter = 2× radius

diameter =2×12

diameter =24 inches

Answer:

24

Step-by-step explanation:

multiply radius by 2 and you will get the diameter

The the radius is also Half diameter

I hope this helped!

In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.

Answers

Answer:

search it

Step-by-step explanation:

i need help with this plseeee

Answers

Step-by-step explanation:

where is the question? i can help you

NEED HELP ASAP I WILL GIVE U BRAINLY
(08.03 MC ) The dot plot below shows the hourly rate of some babysitters in a city: Babysitting Rates $1.00 $2.00 $6.00 $7.00 $3.00 $4.00 $5.00 Dollars per hour Which statement best describes the shape of the data? (5 points)

O It is symmetric and has a peak at $7.00.

O It is a cluster from $1.00 to $7.00 and has gaps.

O It is a cluster from $1.00 to $7.00 and has no gaps.

O It is not symmetric and has a peak at $4.00.​

Answers

A because it goes from 1,2,3,4,5,6,7 and it peaked at 7

ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE

Answers

Step-by-step explanation:

I attached The photo of answer

-TheUnknownScientist

Find the measure of the missing angles.

Answers

Answer:

d=52 e=77 f=51

Step-by-step explanation:

The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360

Answer:

d = 52

e = 77

f = 51

Hope this helps!

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

Solve this equation for x.
4x+3=5x-4

Answers

Answer:

Step-by-step explanation:

X=7

There answer will be 7

A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.

Answers

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]

Time taken to travel is

[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]

Write the equation for a parabola with a focus at (0,5) and a directrix at x = -7

Answers

Answer:

(y-5)^2=14(x+7/2)

Step-by-step explanation:

The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).

What is Parabola?

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

Given,

Focus of the parabola at (0, 5).

Directrix is x = -7.

The parabola is horizontal parabola since the directrix is a vertical line.

Equation of the parabola is of the form,

(y - k)² = 4p (x - h)

Here (h, k) is the vertex.

Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).

(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)

Now, p is the distance from vertex to focus.

p = 0 - -7/2 = 7/2 = 3.5

So the equation is,

(y - 5)² = 4× 3.5 (x - -3.5)

(y - 5)² = 14 (x + 3.5)

Hence the equation is (y - 5)² = 14 (x + 3.5).

Learn more about Parabola here :

https://brainly.com/question/21685473

#SPJ7

Please enter the missing number: 3, 5, 18, 72, ?

A. 144
B. 214
C. 272
D. 360
E. 432

Please explain precisely

Answers

Step-by-step explanation:

18 and 5 are both missing if that's what you mean

Answer:

D. 360

Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.

So 2*3=6, 6*3=18, 18*4=72, 72*5=360

(x - 16)2 + (y - 6)2 = 1 Translated 4 left, 2 up​

Answers

Answer:

x= -4

y=2

put the values

( -4-16)2+(2-6)2=1

(-20)2+(-4)2=1

-40-8=1

-48 is not equal to 1.

There are 10 dark chocolates, 8 milk chocolates, and 7 sea salt caramel chocoaltes and 8 crunch almond chocolates in a mixed flavor Dove chocolate bag. What is the probability of randomly choosing a dark chocolate?

Answers

Answer:

10/33 there 33 chocolates in the bag but only 10 are dark chocolate

Step-by-step explanation:

Happy To Help!!!

which of the following can be added without altering any of the fractions?
a. 3x/x-1 + 8/x-1
b. 6x+1/4x-8 + 1/4x+1
c. 6x/x+6 + 6x/x-6
d. 6x/x-7 + x-7/6x

Answers

Answer:

a

Step-by-step explanation:

[tex]\frac{3x}{x-1}[/tex] + [tex]\frac{8}{x-1}[/tex]

These fractions have a common denominator and so do not require to be altered.

The numerators can be added to simplify, that is

= [tex]\frac{3x+8}{x-1}[/tex]

The remaining fractions have different denominators and would require to be altered before they could be added.

Consider the polynomial function ( x + 3 ) ( x + 9 ) ( x - 6 ) = 0 Which of the following are zeros of the function? Select all that apply.

Answers

zeros= -3, -9, and 6
x+3=0 x=-3, x+9=0 x=-9, x-6=0 x=6

HELPP :( please show working?

Answers

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

Simplify and select the answer with the appropriate restrictions for the variables.

5x2−4x3x3

Answers

Answer:-4x/6 + 5x/2

Step-by-step explanation:

just combined it

trigonometry, pleaseeeee help thank you

Answers

Answer:

3.2

Step-by-step explanation:

Answer: 3.3

Step-by-step explanation: To find x(adjacent)we need to know the length of the opposite ,and to do so we use the dimensions of the larger triangle,let's say A.

So using SOHCAHTOA

Sin=opposite÷hypotenus . Meaning

Opposite =hypotenus×sin

=9×sin31°

=4.635... which is rounded to 4.64.

Finding x

From tan=opposite÷adjacent

adjacent=opposite÷tan

=4.64÷tan55°

=3.2489.... which is rounded to 3.3

Use the algebra tiles to model x – 2.

Then choose the answer that describes the correct tiles.
one blue x tile and two orange + tiles
one orange x tile and two blue – tiles
one blue x tile and two blue – tiles
one orange x tile and two orange + tiles

Answers

Sorry for being late but the answer is B

Answer:

B

Step-by-step explanation: e d g 20 22

BRANIEST !!!!!!!! PLEASE HELP!!!!

Answers

Answer:

B. y= x^2 + 1

Step-by-step explanation:

I graphed it

Answer:

.........B..........

Step-by-step explanation:

i think it is because (X+1)^2 means X^2+1

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