By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in.

Question

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in. wide and the square cutaways have dimensions of x in. by x in., find a function giving the volume V(x) of the resulting box.

 

 V(x)= ____ (Expand your answer completely.)

What is the domain of this function? (Enter your answer using interval notation.)

_______

Answer 1

Use the diagram to determine volume.

V = length * width * height.