A solid block of yellow cedar used for carving is in the shape of a rectangular prism. It has dimensions of 20 cm long, 12 cm wide, and 10 cm in height. The carver wants to reduce the volume of the block to 768 cm³ by removing the same amount off all three dimensions. Write a polynomial function to represent this situation. Calculate how much he should remove from each dimension algebraically or using a graphing calculator.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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A solid block of yellow cedar used for carving is in the shape of a rectangular prism. It has dimensions of
20 cm long, 12 cm wide, and 10 cm in height. The carver wants to reduce the volume of the block to
768 cm³ by removing the same amount off all three dimensions. Write a polynomial function to represent
this situation. Calculate how much he should remove from each dimension algebraically or using a graphing
calculator.
Transcribed Image Text:A solid block of yellow cedar used for carving is in the shape of a rectangular prism. It has dimensions of 20 cm long, 12 cm wide, and 10 cm in height. The carver wants to reduce the volume of the block to 768 cm³ by removing the same amount off all three dimensions. Write a polynomial function to represent this situation. Calculate how much he should remove from each dimension algebraically or using a graphing calculator.
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