3 years ago

How would I solve this and where would I put the dots?

Mathematics

1 answer:

Maslowich3 years ago

8 0

Step-by-step explanation:

You would solve it by turning it into a equation and solving it. You would place the dots on the graph and put them in the points where they are supposed to go.

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

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Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

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$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

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Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

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

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

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