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Delicious77 [7]
3 years ago
6

A Cube has a volume of 125mm squared 3, Calculate the surface area of the cube

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer:#150 square inches

Step-by step Explanation:

A cube has 6 square faces.

and it's volume = lbh where l ,b and h represent the length , breadth and height of the cube , respectively.

Since in a cube , the dimensions are equal, l = b = h, the volume can be written.

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

v

o

l

u

m

e

=

l

3

a

a

∣

∣

−−−−−−−−−−−−−−−  

Now the volume = 125  

⇒

l

3

=

125

⇒

l

=

3

√

125

=

5

Surface area is the sum of the area of all 6 faces.

area of 1 face  

=

5

×

5

=

25

square inches

⇒

surface area

=

25

×

6

=

150

square inches

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Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

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95% confidence level

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What is the required sample size for the new study?

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

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Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
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