Question

A box without a top is to be made from a rectangular piece of cardboard measuring 1.5 yd by 3.2 yd, by cutting out square corners with asido length of x and then folding up and securing the sides.What expression represents the volume, V. of the box in terms of x?

Answer 1

`\begin{gathered} l=3.2-2x \\ w=1.5-2x \\ h=x \\ V=l\cdot w\cdot h=(3.2-2x)(1.5-2x)(x) \\ V=4x^3-9.4x^2+4.8x \end{gathered}`
`\mleft(3.2-2x\mright)\mleft(1.5-2x\mright)\mleft(x\mright)`