Volume · Challenge problem

A wooden block is $6$ cm deep from front to back. Seen from the front, it looks like a letter L: a bottom part $10$ cm wide and $2$ cm tall, with a part $4$ cm wide and $3$ cm tall sitting on top of its left end. So the block is $5$ cm tall at the left and $2$ cm tall at the right. What is the volume of the block, in cubic centimeters?