A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism. Let x = the height of the prism x - 9 =

Question

Siena Zamora

Mathematics

3 February, 21:34

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism. Let x = the height of the prism x - 9 =

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Answers (2)

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Deon Galloway · Answer 1

Its the width

...

Ally · Answer 2

LW≤27

W=H-9

L=6+W

LW≤27

(6+W) (W) ≤27

W^2+6W≤27

minus 27

W^2+6W-27≤0

factor

(W-3) (W+9) ≤0

W-3≤0

W≤3

W+9≤0

W≤-9

wrong, must be positive for a dimention

W≤3

27/3=9

L≤9

W=H-9

3=H-9

H≤12

L≤9

W≤3

H≤12

legnth