An open rectangular box with a square base has a volume V = x²h where x is the length of a side of the base and h is its height. The surface area of this box is given by A = If its volume is 2 m³, what is the surface area expressed as a function of the length of a side of the base? %3D = 4hx + x².

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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An open rectangular box with a square base has a volume
V = x²h where x is the length of a side of the base and h is its
height. The surface area of this box is given by A = 4hx + x².
If its volume is 2 m³, what is the surface area expressed as a
%3D
%3D
function of the length of a side of the base?
4V
A A(x) = ° +x²
С А)
+ x²
%D
V
0 A(x) = 8x +x² – 4x3
B A(h) = 4VVh +
h
-
Transcribed Image Text:An open rectangular box with a square base has a volume V = x²h where x is the length of a side of the base and h is its height. The surface area of this box is given by A = 4hx + x². If its volume is 2 m³, what is the surface area expressed as a %3D %3D function of the length of a side of the base? 4V A A(x) = ° +x² С А) + x² %D V 0 A(x) = 8x +x² – 4x3 B A(h) = 4VVh + h -
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