Math  /  Algebra

QuestionThe volume of the cereal box must be 192in33192 \mathrm{in}^{3}{ }^{3}.
Height: (x+10)(x+10) in.
Length: xx in.
Polynomial equation: x3+6x240x=192x^{3}+6 x^{2}-40 x=192
In the context of this problem, which solutions to the polynomial equation can you eliminate because they do not make sense? \checkmark x=8x=-8 \checkmark x=4x=-4 xx x=6x=6 COMPleti What are the dimensions of the cereal box? The length is \square in., the width is \square \square in. Dons
Solutions: x=8,x=4x=-8, x=-4, and x=6x=6

Studdy Solution
Use the valid solution x=6 x = 6 to calculate the dimensions of the cereal box:
- Length: x=6 x = 6 inches - Width: x4=64=2 x - 4 = 6 - 4 = 2 inches - Height: x+10=6+10=16 x + 10 = 6 + 10 = 16 inches
The dimensions of the cereal box are:
The length is 6 6 in., the width is 2 2 in., and the height is 16 16 in.

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