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3 years ago

Please help me with this question.

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

6 0

Answer:

V = 972m^3

Step-by-step explanation:

small = lwh = 9(2)(6)

large = lwh = 16(9)(6)

V = 9(2)(6) + 16(9)(6)

V = 108 + 864

V = 972m^3

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Step-by-step explanation:

Since we have given that

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So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

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By solving these two equations, we get that

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So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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