A box with an open to is constructed from a rectangular piece of cardboard with dimensions 10 cm by 15 cm cutting out squares of side x cm from each corner and then folding up the side. Express the volume V of the box in terms of X.

V=( ) simplify your answer

# now differentiate V and value of x which gives the maximum value for volume. Also show why is this is the maximam value.

Question

A box with an open to is constructed from a rectangular piece of cardboard with dimensions 10 cm by 15 cm cutting out squares of side x cm from each corner and then folding up the side. Express the volume V of the box in terms of X. 

V=(         ) simplify your answer 

# now differentiate V and value of x which gives the maximum value for volume. Also show why is this is the maximam  value.

accessdenied · Answer

Have you tried drawing a picture?  It may be very helpful to approach this problem to have a picture to see what's going on.

accessdenied · Answer

Probably don't need to draw something colored or detailed like this, here's just my example to try and show what's going on.