You are an engineer for a company that produces shipping boxes. The boxes that are made on one machine are all in the shape of a cube. As the demand for different size boxes changes you need to be able to change the setting on the machine so you can vary the side length of the cube shaped box. Draw a picture of a cube and label the cube's side length, s.
a. Write an expression to determine the surface area of a cube-shaped box, SA, in terms of its side length, s (in inches).
b. Define a formula to determine the volume of a cube-shaped box, V, in terms of its side length, s, (in inches).
c. Define a formula to determine the total length, L, of the box's edges in terms of the box's side length, s, (in inches) (You need to know how much tape is needed to secure all edges with tape.)
d. Define a formula to determine the side length of a cube-shaped box, s, in terms of the boxes volume, V.