A box with square base has no top. Its volume is 64000 cm. What is the minimum possible surface area for the box? a) Express the surface area of the box in terms of x (square side of base of box) and h for the height: b) Write an equation for the volume of the box. c) Combine a) and b) to get a surface area function in terms of a single variable. What are the critical points of your surface area function? d) What is the minimum surface area? Be accurate to the nearest tenth. Type your answer below.
A box with square base has no top. Its volume is 64000 cm. What is the minimum possible surface area for the box? a) Express the surface area of the box in terms of x (square side of base of box) and h for the height: b) Write an equation for the volume of the box. c) Combine a) and b) to get a surface area function in terms of a single variable. What are the critical points of your surface area function? d) What is the minimum surface area? Be accurate to the nearest tenth. Type your answer below.
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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Equation for volume of the box and the critical points of surface area function?
minimum surface area ?
Transcribed Image Text:A box with square base has no top. Its volume is 64000 cm . What is the minimum possible surface area for the box?
a) Express the surface area of the box in terms of x (square side of base of box) and h for the height.
b) Write an equation for the volume of the box.
c) Combine a) and b) to get a surface area function in terms of a single variable. What are the critical points of your surface area
function?
d) What is the minimum surface area? Be accurate to the nearest tenth.
Type your answer below.
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