A rectangular cardboard of length cm and width cm is converted into an open box by…

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

A rectangular cardboard of length

30

cm and width

20

cm is converted into an open box by cutting squares of side

x

cm from each corner and folding up the sides. (i) Obtain the polynomial expression for the volume

V(x)

of the box. (ii) State the interval of

x

for which

V(x)

is positive.