2 years ago

Find the measure of x.

Mathematics

1 answer:

Andreyy892 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

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Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

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$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

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