2.

The Parkside Packing Company needs a rectangular shipping box. The box must have a length

of 11 inches and a width of 8 inches. Find, to the nearest tenth of an inch, the minimum height

of the box such that the volume is at least 800 cubic inches.

(3 points)

Respuesta :

Answer:

9.1 Inches

Step-by-step explanation:

Length of the proposed box=11 Inches

Width of the proposed box=8 Inches

Required Volume, [tex]V \geq 800 $ cubic inches.[/tex]

Volume of a Rectangular Prism =Length X Width X Height

Therefore:

[tex]800\\11*8*Height\geq 800\\88*Height \geq 800\\$Divide both sides by 88\\Height \geq 800 \div 88\\Height \geq 9.\overline{09}$ inches[/tex]

Therefore, the minimum height to the nearest tenth of an inch is 9.1 Inches.

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