In order to find the value of the x that will maximize the volume of the box we must take the derivative of the equation we found in step 2. Volume of a box formula. A rectangular tank is a generalized form of a cube where the sides can have varied lengths.
Hence here volume of rectangular block is 280 cm.
Volume Dimensions Length Width Height. Express the volume V of the box as a function of x. In order to find the value of the x that will maximize the volume of the box we must take the derivative of the equation we found in step 2. The volume formula for a rectangular box is height x width x length as seen in the figure below.