The company's design team has created a box with a width 2 inches shorter than its length and a height 9 inches taller than twice its length. The volume of each box must be 45 cubic inches. What are the dimensions of the box?

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The company's design team has created a box with a width 2 inches shorter than its length and a height 9 inches taller than twice its length. The volume of each box must be 45 cubic inches. What are the dimensions of the box?

The shape of a box is the same as the shape of a rectangular prism

The volume of a box = Length × Width × Height

The width is 2 inches shorter than its length

W = L - 2

The height 9 inches taller than twice its length.

H = 2L + 9

Hence,

45 in³ = L × (L - 2)× (2L + 9)

45 in³ = (L² - 2L) × (2L + 9)

45 in³ = 2L³ + 9L² - 4L² - 18L

45 in³ = 2L³ + 5L² - 18L

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