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

At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?

Answers

Answer:

$83.60

Step-by-step explanation:

to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.

12.54 ÷ 6 = 2.09

then we multiply that by 40

2.09 x 40 = 83.60

Two more than the quotient of a number and 4 equals 7.

Answers

Answer:

20

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

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Which fractions are equivalent to 1012?

Answers

[tex]50/60[/tex]

That should be your answer

Answer:

Hello, There! I'm here to help!

Question

Which fractions are equivalent to 10/12?

Answer

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

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Answers

Answer:

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Answer:

Step-by-step explanation:

The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.

What was the average temperature measured by the 3 thermometers?

Answers

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Answers

Answer:

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Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

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Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.

Step-by-step explanation:

Hope This Helps!

What is the value of x in the diagram below? If necessary, round your answer
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х
B
L
D
с
30
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B. 6.5
C. 14
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Answers

Answer:

D. 16

Step-by-step explanation:

You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?

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Answer:

208 ounces in 13 pounds

Step-by-step explanation:

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Answers

Answer:

59+2=61

Step-by-step explanation:

Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?

Answers

Answer:

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Step-by-step explanation:

You can rewrite the sentence as

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Answer:

I think it's b.

Step-by-step explanation:

b. ,. ....

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Answers

Answer:

Step-by-step explanation:

Work out the Mean,

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Then work out the mean of those squared differences

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Improper fraction:
-------------------------

Mixed number: -------------------------
(whole number + fraction number

Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

-4

Step-by-step explanation:

The form of a liner equation is y=mx+b.  b is 0 in this example.  So we are left with y=-4x

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y     x

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...


...​

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1. Money
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What is the first whole number greater than 11?

Answers

Answer:

4

Step-by-step explanation:

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-Chetan K

Answer:

√11 = 3.3166

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Answers

Answer:

Step-by-step explanation:

lets say 6 times 6 =36

3 is a half of six so if you

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r = -9

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I need help with this question. Thank you!

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Answer:

gradient is the same as slope The gradient or slope of line A = 3/1 or 3

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if the line goes up from the left to the right, The slope is positive.

if the line goes down from the left to the right, The slope is negative

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Answer: A, A, C

Step-by-step explanation:

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Answers

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Answers

Answer:

A: -41/9

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Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

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b = -41/9

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for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
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Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
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Choose..
Noah's original tabletop design
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Answer:

two triangles, the top of one figure with the bottom of the other figure, 8 and 4

Step-by-step explanation:

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Answers

Answer:

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Answer:

39 years old

It could be;

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Jason walked to a friends house at a constant rate. It took him 6 minutes to walk 4 blocks. If his friend lives 14 blocks away how long will it take him to get to her house

Answers

6/4=1.5=14*1.5=21

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a class has 28 students. The ratio of girls to boys is 4:3. How many girls

Answers

Answer:

let

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or, 3x+4x=28

or, 7x=28

x=28/7=4

hence no of girls = 4x=4*4= 16

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