3 years ago

Find expressions for the possible dimensions of the rectangular prism. V = 7y3 +29y2 + 4y

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

6 0

Answer:

m=83

Step-by-step explanation:

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3 years ago

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3 years ago

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting <em>y</em> whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of <em>x</em>:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

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3 years ago