Answer:
Step-by-step explanation:
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
