A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area

Answers

Answer 1

Answer:

[tex]Ratio = 3: 2[/tex]

Step-by-step explanation:

Given

Shape: Cube

[tex]L = 8cm[/tex]

The surface area is calculated as:

[tex]Area = 6*L^2[/tex]

[tex]A_1 = 6*8^2[/tex]

[tex]A_1 = 384[/tex]

When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:

[tex]L = \frac{8}{2} = 4[/tex] --- Length

[tex]W = 8cm[/tex] --- Width

[tex]H = 8cm[/tex] --- Height

The surface area is:

[tex]Area = 2 *(L*W + H * L + W * H)[/tex]

[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]

[tex]A_2 = 2 *128[/tex]

[tex]A_2 = 256[/tex]

So, the ratio of surface area is:

[tex]Ratio = A_1 : A_2[/tex]

[tex]Ratio = 384 : 256[/tex]

Divide by 128

[tex]Ratio = 384/128 : 256/128[/tex]

[tex]Ratio = 3: 2[/tex]


Related Questions

Which of the following shows the prime factorization of 200 using exponential notation?

Answers

Answer:

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) [tex]\frac{200}{2} = 100[/tex] (Even number)

2) [tex]\frac{100}{2} = 50[/tex] (Even number)

3) [tex]\frac{50}{2} = 25[/tex] (Even number)

4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

[tex]200 = 2^{3}\times 5^{2}[/tex]

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Answer:

2 * 3 * 5

Step-by-step explanation:

made a 100 on the text trust!!!!!

Write the decimal in simplest fractional form: -1.375

Answers

-11/8
It’s making me type more so ignore this part.

Help mmmmmmmmmmemmmemeeeee

Answers

Answer:

P-E-M-D-A-S

Step-by-step explanation:

Ok, so start with what i call "P-E-M-D-A-S"

P: parentheses | Also known as these: ( )

E: exponents | Its a small number by another number, like the 3 on your screen

M: Multiply | Also Known as   x or a dot

D: Divide | i forgot how to make it

A: Add | also known as +

S: Subtract | also known as -

now go in order to solve it, it makes it much more easy!

Answer:

49 is your answer

Step-by-step explanation:

let's do b-pemdas

brackets

parentheses

e(I forgot the name for it but it's basically a small number next to the big number)

Multiply

Divide

Add

Subtract

you do the equation in that order

so

2+8•7-(3^2)

we focus on (3^2)

that's 3•3 which equals to 9

so now the equation is

2+8•7-9

Now we focus on 8•7 which equals to 56

the equation now looks like

2+56-9

you then add 56 to 2 which equals to 58 and then subtract 9 from it so it should look like this

2+56=58

58-9= 49

and 49 is your answer

hope this help!!!

if you would give me brainliest that would help a lot!!

i need help right now!!!!

Answers

Answer:

look at the picture i sent...........

let f:A=B such that f(x)=y and g:B=C such that g(y)=z.name the function defined from A to C.​

Answers

Answer:

since g:B→C is onto

suppose z∈C,there exists a pre-image in B

Let the pre-image be y

Hence y∈B such that g(y)=z

similarly f:A→B is onto

suppose y∈B,there exists a pre-image in A

Let the pre-image be x

Hence x∈A such that f(x)=y

Now gof(x)=g(f(x))=g(y)=z

So for every x in A,there is an image z in C

The question that is asked...

Answers

Answer:

ps is perpendicular to line ur.

angle pvr is 90°

12x+3x=90°

15x=90°

x=90°/15

x=6

by putting value of x

12x=72°

a village school starts at 8.30am and end at 3.45pm.how long is the school day

Answers

7 hours and 15 minutes

Answer:

7 hours and 15 minutes.

Step-by-step explanation:

Draw a timeline for this question.

8.30 + 7 hours = 3.30pm or 15 30

3.30 + 0.15 minutes = 3.45 or 15 45

7 hours + 0.15 minutes = 7 hours and 15 minutes.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y=x+2

Step-by-step explanation:

55" TV: $669 with a 23% markup

Answers

Answer:

what is the question?

Step-by-step explanation:

Which graph shows that y varies directly as x?

Answers

Answer:

Step-by-step explanation:

Bethany is a biologist who has been measuring and recording the rabbit population at a park over the last several years. She has noticed that a trigonometric function can model the population, which reaches a maximum population, m, each summer and a minimum population, n, each winter. If she uses to represent the rabbit population t years from the start of her study, what is the domain of function p?

Answers

Answer:

[0,∞)

Step-by-step explanation:

Answer:

[0,∞)

Step-by-step explanation:

Correct on Plato!

y = 2x + 7
y = -3x - 33
Solve using the Substitution Method

Answers

Answer:

-8

Step-by-step explanation:

can some pals help me

Answers

Answer:

1/8th of a foot

Step-by-step explanation:

All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.

5 / 8 = 0.625 = 1/8

How many moles are in 9.03 x 1023 Li atoms?
please help me

Answers

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

AB =
Round your answer to the nearest hundredth.
A
50°
B
2
с

Answers

Answer:

50.04

Step-by-step explanation:

Answer: 3.11

Step-by-step explanation:

khan academy hint.

5/8 plus 1/16 simplified

Answers

we want to make their denominators the same to add them, their common denominator is 16
So 5/8 will become 10/16
now we can add both fractions easily
10/16 + 1/16 = 11/16

what is it ???????????? pls help aspa

Answers

Answer:

This is curve sketching which is used in math

Step-by-step explanation:

we can see a graph plotting with the equation...of all sides

HELP IM LITERALLY IN CLASS AND IM TAKING A TEST

Given the points (4,-3) and (0, -1), which other point lies on the line?

Answers

I wouldn’t trust the links to a “photo” like the people in the comments said. If you give me the equation of the line the question is taking about I could solve it for you.
The equation of the line is y = (-1/2)x - 1

An automobile dealer can sell 12 cars per day at a price of $17,000. He estimates that for each $300 price reduction he can
sell two more cars per day. If each car costs him $14,000, and fixed costs are $1000, what price should he charge to
maximize his profit? [Hint: Let x = the number of $300 price reductions.]
How many cars will he sell at this price?

Answers

Answer:

$ 1100

Step-by-step explanation:

Let p(x) be the price he charges for a car after x price reductions.

Since car costs him $10,000, and fixed costs are $1000

p(x) = 13000-10000-1000-300x = 2000 - 300x

Let  q(x) = 12 + 2x the quantity of cars sold after x price reductions.

and the profit he can make are given by:

Profit = R(x) = (12+2x)(13,000 - 10,000 - 1,000 - 300x) dollars.

As you can see, maximizing profit , we have to check where P'(x) = 0

And P''(x)<0.

So we get x = 3.

Replacing the value we get we get 2000 - 300 X 3 = 2000 - 900

                                                                 = $ 1100

]

Find the x and y for numbers 2 and. 3 thank you

Answers

Answer:

(0, 4 ) and (2, - 4 )

Step-by-step explanation:

(2)

3x + 4y = 16 → (1)

- 3x + 2y = 8 → (2)

Adding (1) and (2) term by term will eliminate the x- term

0 + 6y = 24

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(4) = 16

3x + 16 = 16 ( subtract 16 from both sides )

3x = 0 , then

x = 0

solution is (0, 4 )

(3)

2x - 4y = 20 → (1)

5x + 4y = - 6 → (2)

Adding (1) and (2) term by term will eliminate the y- term

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

5(2) + 4y = - 6

10 + 4y = - 6 ( subtract 10 from both sides )

4y = - 16 ( divide both sides by 4 )

y = - 4

solution is (2, - 4 )

What are some tips for the SAT math section?

Answers

Answer:

You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.

What’s the slop of the line in simplest form.

Answers

Answer:

y=1/2x +4

rise over run 1/2

y intercept is 4

what is the discounted price of a $15.50 with a 20% discount

Answers

Answer:

$12.40

Step-by-step explanation:

100% -20% discount = 80%

15.50 x 0.80 = 12.40

15.5-(20/100 x15.5)=$12.40

The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?

Answers

Answer:

0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.

This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]

What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?

This is 1 subtracted by the pvalue of Z when X = 5.30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]

[tex]Z = -0.96[/tex]

[tex]Z = -0.96[/tex] has a pvalue of 0.1685

1 - 0.1685 = 0.8315

0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon

Find the equation of the line
Use exact numbers

Thank you in advance!

Answers

Answer:

the answer is 3/6 cause you go up 3 and over 6

Enrique collects miniature cars. He has one large case that holds 20 cars and 3 same-size, smaller cases to hold his cars.

Let n be the number of cars in each smaller case. Write an algebraic expression to represent how many total cars Enrique can fit in his cases.

Answers

Answer:

C = 3n + 20

Step-by-step explanation:

There is one large case with 20 cars and 3 small cases with n cars in each.

Possible number of cars C is:

C = 3n + 20

please help me i really need help please

Answers

Use pythagorean theorem:
a^2 +b^2 = c^2
a= x
b= 4
c= 16
x^2+16=256
-16 -16

x^2=240
find square root of 240 which is 15.49ft to the hundredth or 15.5ft

h=15.49 ft

7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}

Tysm

Answers

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

5. Alfredo made a container shaped like a triangular prism, as shown in the diagram
11 in.
What is the volume of the container in cubic inches?
Record your answer in the boxes. Be sure to use the correct place value.

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

which of the following doesn't describe a point?​

Answers

Answer:

It has infinite length, but no width and no thickness (It describes a Line )

Hope it helps...

Have a great day :P

If it has an infinite length but no width Does not describe a point
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