A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to dA be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is ? dx dA 256 A = 4x - dx x2 dA = 4 + dx 512 B x3 dA 256 2x dx x2 dA 256 = 4x + x2 dx

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to
dA
be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is
?
dx
dA
256
A
= 4x -
dx
dA
= 4 +
dx
512
B
x3
dA
256
= 2x
dx
x2
dA
= 4x +
dx
256
D
x2
Transcribed Image Text:A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to dA be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is ? dx dA 256 A = 4x - dx dA = 4 + dx 512 B x3 dA 256 = 2x dx x2 dA = 4x + dx 256 D x2
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