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Polynomial Word Problems
A box in the shape of a rectangular prism has side lengths
x, x + 2, and x + 10. Write a function V(x) to express the
volume of the box in terms of x. Find all possible values of
x, given that the volume of the box is 96 cm3.
State the dimensions of the box.
Bill is preparing to make an ice sculpture. He has a block of ice
that is 3 ft wide, 4 ft high, and 5 ft long. Bill wants to reduce the
size of the block by removing the same amount of ice from
each side. He wants to reduce the volume of the ice block to
24 ft3.
a) Write a polynomial function to model this situation.
b) How much should he remove from each dimension?

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  • 1. Polynomial Word Problems A box in the shape of a rectangular prism has side lengths x, x + 2, and x + 10. Write a function V(x) to express the volume of the box in terms of x. Find all possible values of x, given that the volume of the box is 96 cm3. State the dimensions of the box.
  • 2. Bill is preparing to make an ice sculpture. He has a block of ice that is 3 ft wide, 4 ft high, and 5 ft long. Bill wants to reduce the size of the block by removing the same amount of ice from each side. He wants to reduce the volume of the ice block to 24 ft3. a) Write a polynomial function to model this situation. b) How much should he remove from each dimension?