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3 years ago

Can someone answer this and explain for me please?

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

7 0

Answer:

217.699112

Step-by-step explanation:

To find the area let's separate the cube and cylinder into different categories and add them together later.

Cylinder:

SO first we must find the area of the circle and to do so we multiply 2 by 2 and get 4, then multiple by pi, 4 x pi and we get 12.5663706, now we multiply this by 3, 3 x 12.5663706 = 37.6991118. Now that we have the area of the cylinder we can get started on the cube.

Cube:

First we find the area of the base, 9 x 4 = 36. Now we multiply that by 5,

36 x 5 = 180. Now all we do is add them together.

Sum:

180 + 37.6991118 = 217.699112

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd powe

hammer [34]

Answer:

$69.21

Step-by-step explanation:

Since the box has a square base the length and breadth of the box will be equal. Let it be $x$

Let h be the height of the box

V = Volume of the box = $620\ \text{cm}^3$

$x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}$

Now surface area of the box with an open top is given

$s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}$

Differentiating with respect to x we get

$\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}$

Equating with zero

$0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74$

Double derivative of the function

$\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0$

So, x at 10.74 is the minimum value of the function.

$h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37$

So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.

The total area of the sides is $4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2$

The area of the base is $x^2=10.74^2=115.35\ \text{cm}^2$

Cost of the base is $0.40 per square cm

Cost of the side is $0.10 per square cm

Minimum cost would be

$230.7\times 0.1+0.4\times 115.34=\$69.21$

The minimum cost of the box is 69.21 dollars.

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