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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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