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shepuryov [24]
3 years ago
5

Calculate the surface area-to-volume ratio of a cube whose sides are 3 cm long​

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

2/cm

Step-by-step explanation:

The surface area formula for a cube of side s is A = 6s^2.  The volume formula is V = s^3.

Therefore, the surface area-to-volume ratio is

6s^2      6

------- = -------

 s^3       s

                                                             6          2

and if s = 3 cm, this ratio becomes --------- = ------

                                                            3 cm     cm

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Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
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Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
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x = 54/4
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As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
6 0
3 years ago
Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How
Scorpion4ik [409]

let's check how much is it after 2 years firstly.


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Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}


\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}

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3 years ago
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