Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?

Answers

Answer 1

Answer:

148 cm²

Step-by-step explanation:

The cubes have sides of 2 cm, 3 cm and 4 cm respectively.

Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.

Total surface area of each cube is:

Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².

Total of three cubes:

24 + 54 + 96 = 174 cm²

When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.

Possible decrease, provided full faces area covered:

2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²

The least possible surface area is:

174 - 26 = 148 cm²

Answer 2
☆Answer :

3Cubes :

Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cm

Soo :

Volume - 1 = 6 × 2² = 6 × 4 = 24cm²

Volume - 2 = 6 × 3² = 6 × 9 = 54cm²

Volume - 3 = 6 × 4² = 6 × 16 = 96cm²

Totals = 24 + 54 + 96 = 174cm²

[tex] \: [/tex]

surface area = 174 - 2(3² + 2²)

surface area = 174 - 2(9 + 4)

surface area = 174 - 2(13)

surface area = 174 - 26

serface area = 148cm²

[tex] \: [/tex]

-HayabusaBrainly


Related Questions

Answer fast, please!!!

Answers

The distributive property states that any expression with three numbers A , B , and C , given in form A (B + C) then it is resolved as A × (B + C) = AB + AC

According to distributive property

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)[/tex]

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3[/tex]

Hence , Option D is the correct answer.

divide 7 by 12 to change 7/12 to a repeating decimal. 7/12 = 7 divided by 12 = ?​

Answers

Answer:

0.58333333....

can i have brainliest plz

Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.

Find the width of the picture frame. Show all work.​

Answers

Answer:Because

Step-by-step explanation:

Ima teacher

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty

Answers

Answer:

40%

Step-by-step explanation:

Please help i will give 100 points

Answers

First:

X = 15

Step-by-step explanation:

So the two angles are congruent, or they are the same angle. So you write the equation as 5x + 9 = 84.

5x + 9 = 84

      -9     -9

5x = 75

(divide) 5 from both sides

x = 15

Second:

X = 27

Step-by-step explanation:

For this one I believe the answer is X = 27 because both equations should equal 180 degrees.

So you write the final equation:

(x + 72) + (3x) = 180

     -72                -72

(combine X's):

4x = 108

Divide both sides by 4

X = 27

Third:

X = 40

Step-by-step explanation:

For this one, the angles match again, so you write it s:

4x - 50 = 2x + 30

    +50           +50

4x = 2x +80

-2x  -2x

2x = 80

Divide both sides by 2

X = 40

End

I super hope this helped!

Maybe brainliest? No pressure!

Let me know if this works or you need more help!

Solve for X


Marking you the brainliest​ provided you got it right and with step by step explanation

Answers

Answer:  x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

[tex]\displaystyle \rm S=180(n-2)[/tex]

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

[tex]\rm S=180(5-2)=540 \\\\[/tex]

[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]

Its a Pentagon

[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]

[tex]\\ \sf\longmapsto 5x+200=540[/tex]

[tex]\\ \sf\longmapsto 5x=540-200[/tex]

[tex]\\ \sf\longmapsto 5x=340[/tex]

[tex]\\ \sf\longmapsto x=340/5[/tex]

[tex]\\ \sf\longmapsto x=68[/tex]

Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work

Answers

hope this helps
refer to the picture^^

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company

Answers

Answer: 400 miles

Solving Steps:
0.4x + 80 = 0.5x + 40
-0.1x + 80 = 40
-0.1x = -40
x = 400 miles

complete the following sentence by using Cooperative adjective​

Answers

Answer:

m

Step-by-step explanation:

a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.​

Answers

Answer:

I'm too lazy to use a calculator but I'll explain the steps to you

Step-by-step explanation:

so basically all you have to do is you know that

volume=length*with*height

we already have the length and height

so do 7.5*5 on your calculator for me

and then divide that answer by 225

and then you will get your answer

excuse me for being lazy but at least I gave you your answer it's 4 am here

2xy-yz=8 solve for z

Answers

The answer is: z = -8/y + 2x

The solution of the equation in terms of z will be; z = 2x - 8/y

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the equation as;

2xy-yz=8

Now we have to solve for z;

2xy-yz=8

-yz = 8 - 2xy

Then divide by y on both sides;

z = 2xy/y - 8 / y

z = 2x - 8/y

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Calculate the range of change and identify the y-intercept. who ever answer this gets ranked.

Answers

Xdv de vtadbtsaby dvdw

the sum of 3 fifteens and 4 twos​

Answers

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.

Write the Natural numbers after 10,999,11,009,11,001

Answers

Answer:

The next three natural numbers after 10999 are 11000,11001, and 11002.

Step-by-step explanation:

Write first natural number after 10999:

10999 + 1 = 11000

Write second natural number after 11000:

11000 + 1 = 11001

Write the third natural number after 11001:

11001 + 1 = 11002

Hence, the next three natural numbers after 10999 are 11000, 11001, and 11002.

YO I NEED HELP

A forest owned by the Jumbo Lumber Corporation contains 4,498 trees. If Jumbo Lumber cuts down 57 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
A.
n(t) = (4,498-57)t
B.
n(t) = 4,498 + 57t
C.
n(t) = 4,498t - 57
D.
n(t) = 4,498 - 57t

Answers

Answer:

D

Step-by-step explanation:

Edmentum:))

Show your work!!
Solve for missing angle

Answers

A triangle equal 180 degrees.
So, you do 80 + 35 + x = 180
115 + x = 180
180-115= 65
the answer is 65 degrees

How many cherries tomatoes does he need?

Answers

1 Large Salad uses 10 cherry tomatoes.

1 Small Salad uses 6 cherry tomatoes.

Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.

4 small salads: 4 x 6 = 24 cherry tomatoes.

Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.

I hope this has helped! :)

Answer:

He needs 84 cherry tomatoes.

Step-by-step explanation:

6 * 10 = 60 cherry tomatoes

6 * 4 = 24 cherry tomatoes

60 + 24 = 84 cherry tomatoes

Hope this helps!

2. In our country today, what do you think are the possible application of pattern and sequence in the field of engineering? How?​

Answers

Engineering has many applications in our country focused on the construction and development of new technological devices.

Engineering is a term that refers to the set of scientific principles necessary to design and build machines, structures, and others such as:

BridgesTunnelsRoadsVehiclesBuildingsSystemsProcesses.

Engineering is characterized by:

Innovation and invention.Development and improvement of techniques and instruments.

According to the above, engineering has many applications in the country such as:

Construction of new and more technological buildingsManufacture of tools and devices for different applications such as education, medicine, construction, among others.

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कौन-सा शब्द यौगिक है।

क. पुस्तकालय। ख. भाई की बहन। ग लंकेश​

Answers

Answer:

help please............

Iihhhhhb. Yes I did but it wasn’t bad enough for you guys too have too many people too and I’m tired too

Who can help me with this entire page?

Answers

Answer:

I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13

x - 2/2 = 3x + 8/4

A. 12
B. -24
C. 16

Answers

It’s doesn’t look like any of the anwsers are right..

x-2/2=3x+8/4

x-1=3x+2

-x. -x

-1=2x+2

-2. -2

-3=2x

÷2. ÷2

-3/2=x

1 1
11
yly
УУ УУ
Part A
? Question
Create an equation from the model that describes the relationship between the weights on each side of the scale
Enter the correct answer in the box.
0 0 0
OP
α β
sin cos tan sin cos tan!
0
2 Δ Ο
Σ
0
X
A

Answers

9514 1404 393

Answer:

  2y +3 = 4y +2

Step-by-step explanation:

The left side shows 2y +3.

The right side shows 4y +2.

The scale is shown in balance, so we must have ...

  2y +3 = 4y +2 . . . . equation from the model

__

The solution can be found by subtracting 2y+2 from both sides to leave ...

  1 = 2y

Then we can divide both sides by 2 to find what y stands for:

  1/2 = y . . . . solution to the equation

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6

Answers

Answer:

The answer would be 6 and 4.

Step-by-step explanation:

Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.

Just pleasssssssssss help me.

Answers

3/14   2/7 1/2

Step-by-step explanation:

divide all of them seprately to get your decimal amount

The answer is

3/14, 2/7, 1/2

1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2

Hope this helps :D

The probability that record drawn randomly from a standard deck of 52 cards is a four

Answers

Answer:

1/13

Step-by-step explanation:

no.of sample space n(S) = 52

no.of favourable cases n(E) = 4

probability of getting a four p(E) = n(E) / n(s)

or, 4/52

or 2/26

or 1/13

therefore,the probability of getting a four is 1/13.

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

Which equation shows the quadratie formula used correctly to solve 7x? = 9+X for x?

Answers

Exact form niya is ung pang c

last answer(4 )

x=7x^2-x-9

8×5 implies that 40 is a multiple of......................... And........................ ​

Answers

8 & 5

5.10.15.20.35.40

8.16.24.32.40

the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers​

Answers

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

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