Suppose a factory manufactures (lidless) cardboard boxes by cutting out squares from each corner of a rectangle cardboard. Each cardboard piece has dimensions 3' x 5' (three by five feet). In order to use the cardboard most effectively, the factory needs to know what size squares should be cut off from each corner. Use technology (TI-84 graphing calculator, desmos.com , etc.) to estimate the maximum volume of the box (and the size of these squares). Round your answers to one decimal place. Hint: See textbook Example 8, in Section 3.3 (p. 188). NOTE: the picture below is NOT the accurate dimensions. Use the dimensions above (dimensions of 3' x 5'). The picture is just 1. What is the size of the squares that should be cut off? feet by feet. 2. What is the maximum volume? ft3

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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Suppose a factory manufactures (lidless) cardboard boxes by cutting out squares from each corner of a
rectangle cardboard. Each cardboard piece has dimensions 3' x 5' (three by five feet).
In order to use the cardboard most effectively, the factory needs to know what size squares should be cut off
from each corner. Use technology (TI-84 graphing calculator, desmos.com , etc.) to estimate the maximum
volume of the box (and the size of these squares). Round your answers to one decimal place.
Hint: See textbook Example 8, in Section 3.3 (p. 188).
NOTE: the picture below is NOT the accurate dimensions. Use the dimensions above (dimensions of 3' x 5').
The picture is just
1. What is the size of the squares that should be cut off?
feet by
feet.
2. What is the maximum volume?
ft3
5
8
A lidless box formed by cutting out squares of same size from each corner
Transcribed Image Text:Suppose a factory manufactures (lidless) cardboard boxes by cutting out squares from each corner of a rectangle cardboard. Each cardboard piece has dimensions 3' x 5' (three by five feet). In order to use the cardboard most effectively, the factory needs to know what size squares should be cut off from each corner. Use technology (TI-84 graphing calculator, desmos.com , etc.) to estimate the maximum volume of the box (and the size of these squares). Round your answers to one decimal place. Hint: See textbook Example 8, in Section 3.3 (p. 188). NOTE: the picture below is NOT the accurate dimensions. Use the dimensions above (dimensions of 3' x 5'). The picture is just 1. What is the size of the squares that should be cut off? feet by feet. 2. What is the maximum volume? ft3 5 8 A lidless box formed by cutting out squares of same size from each corner
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