a box of fruit juice has the shape of a square base cuboid.It should hold 1000ml of fruit juice.Let x be the length of the square rib of the base and h cm the height of the box. a) Express h in relation to x b) find an expression for the total surface area of the cuboid depending on x. c) Find the value of x, for which the total surface area of the box takes the smallest value.
a box of fruit juice has the shape of a square base cuboid.It should hold 1000ml of fruit juice.Let x be the length of the square rib of the base and h cm the height of the box. a) Express h in relation to x b) find an expression for the total surface area of the cuboid depending on x. c) Find the value of x, for which the total surface area of the box takes the smallest value.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a box of fruit juice has the shape of a square base cuboid.It should hold 1000ml of fruit juice.Let x be the length of the square rib of the base and h cm the height of the box.
a) Express h in relation to x
b) find an expression for the total surface area of the cuboid depending on x.
c) Find the value of x, for which the total surface area of the box takes the smallest value.
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