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An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. X Answers parts (a) through (e). 21 in. 21 in. ..... (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= 4x-84x +441x (Simplify your answer.) (b) What is the volume if a 3-inch square is cut out? The volume is (Simplity your answer.) (c) What is the volume if a 9-inch square is cut out?

An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. X Answers parts (a) through (e). 21 in. 21 in. ..... (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= 4x-84x +441x (Simplify your answer.) (b) What is the volume if a 3-inch square is cut out? The volume is (Simplity your answer.) (c) What is the volume if a 9-inch square is cut out?

Calculus: Early Transcendentals
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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For what value of x is V largest? X = (e) What is the largest volume? The largest volume is III
Transcribed Image Text:For what value of x is V largest? X = (e) What is the largest volume? The largest volume is III
An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answers parts (a) through (e). (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= 4x - 84x + 441x (Simplify your answer.) (b) What is the volume if a 3-inch square is cut out? The volume is (Simplity your answer) (c) What is the volume if a 9-1inch square is cut out? III
Transcribed Image Text:An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answers parts (a) through (e). (a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner. V= 4x - 84x + 441x (Simplify your answer.) (b) What is the volume if a 3-inch square is cut out? The volume is (Simplity your answer) (c) What is the volume if a 9-1inch square is cut out? III
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