## Question

###### A box with square base has an open top and a volume of 200 cm3_ The base dimension, X, is a variable measured in cm, The height is also variable, but constrained by the total volume, as shown in the figure below:200The surface area of the box (base and four sides) is a function of X: 200 A(x) x2 + 4x1. Graph the function A(x): Assume xHow many critical points does have?What value of x gives the smallest possible surface area? Be accurate to three decimal places_What is the minimum surface area?

A box with square base has an open top and a volume of 200 cm3_ The base dimension, X, is a variable measured in cm, The height is also variable, but constrained by the total volume, as shown in the figure below: 200 The surface area of the box (base and four sides) is a function of X: 200 A(x) x2 + 4x 1. Graph the function A(x): Assume x How many critical points does have? What value of x gives the smallest possible surface area? Be accurate to three decimal places_ What is the minimum surface area? Be accurate to three decimal places Amin Dimensionally incorrect: Please check the type or dimension of your unit: Enter a number with units

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