. Each block in a child's set of building blocks is 15 cm long, 10 cm wide, and 5 cm high. Suppose you put the blocks in a box that is 50 cm long, 35 cm wide, and 30 cm high. a) What is the volume of each block? Of the box? b) Suppose you only consider the volume. How many blocks would you expect to fit in the box? c) Suppose you arrange the blocks neatly in layers. How many different ways can you layer the blocks? How many blocks fit in the box each way? d) Compare your answers to parts b and c. Explain any differences. e) Which is the best way to pack the blocks? Why