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Ksenya-84 [330]
2 years ago
15

You are constructing a cardboard box with the dimensions 4 m by 6 m. You then cut equal-size squares ( x by x squares) from each

corner so that you may fold the edges to get a box. How long should x be to get a box with the maximum volume?? Round your answer to three decimal places. (enter numbers only)
Mathematics
1 answer:
Vlad1618 [11]2 years ago
7 0

Answer:

0.785 m

Step-by-step explanation:

(4-2x)(6-2x)x = Volume

Volume = 4x³ - 20x² + 24x

Max volume: dV/dx = 0

dV/dx = 12x² - 40x + 24 = 0

3x² - 8x + 6 = 0

x = 2.54858377, 0.784749563

Max when d²V/dx² < 0

d²V/dx² = 6x - 8

At x = 0.784749563

6x - 8 = -3.29 < 0

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Answer:

Step-by-step explanation:

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2 years ago
Help me plz ASAP<br> A.2<br> B.1/2<br> C.2/3<br> D.3/2
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A

Step-by-step explanation:

First and foremost, we can rule out B and C because they are less than one and would make the hexagon smaller instead of bigger. Now, when we measure the units, we see that it goes up by 2 squares on the graph. So, by process of elimination and measurement, we get the answer of A.

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$4.99

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statuscvo [17]

Answer:

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3 years ago
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Answer:

0.5578

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