Find the expression for the surface area of the box in terms

Assignment Help Mathematics

Reference no: EM13177762

a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added strength).

a) Express the length, width and height in terms of the variable x
b) Find the expression for the volume of the box in terms of x
c) Find the expression for the surface area of the box in terms of x
d) What are the restrictions of the variable? Explain.

Reference no: EM13177762

Questions Cloud

Define basic principles of organizational architecture : Evaluate the following statement: "I am a manager in a governmental agency. I have no control over compensation policy. All workers are paid the same salary (everyone is paid according to a set schedule and their remuneration cannot be adjusted by..

Can a linear equation and a linear inequality be solved : Can a linear equation and a linear inequality be solved in the same way? Explain why? What makes them different?

Find the mass of a wire formed by the intersection : Find the mass of a wire formed by the intersection of the sphere x^2 + y^2 + z^2 = 1 and the plane x + z=0 if the density of a wire is x^2?

Draw the indifference curve : Draw the indifference curve for U = 20. For what values of p1/p2 will the optimum be \(x_{1} = 0\) If neither x1 and x2 is equal to zero and the optimum is unique, what must be the value of x1/x2?

Find the expression for the surface area of the box in terms : a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added str..

How fast is oa changing : Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..

Determine special but convenient case of linear demand : The demand schedule (or demand function or curve) for a good shows the total quantities (Q) that buyers are willing and able to buy at various prices (P) in some period of time. For example, here is a demand function illustrating the very special ..

What point does the path approach : Let f(x,y) = 1 - x2 - 2y2 and let S be the surface z = f(x,y). Parametrize the path of steepest ascent up S starting from the point (2, 1, -5). What point does the path approach?

User Account

All Pages