Question

8. 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.
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? Which is the best way to pack the blocks? Why?
Can you give a full explination. I don't understant this

Answer 1

The box is 2*15 by 5*10 by 7*5
so, one way would be layers
each 2 blocks long and 5 blocks wide, and 7 layers high

Try factoring the dimensions in other ways, making sure that each block size is one of the factors.

If you must have corresponding dimensions (not rotating the blocks to fit in other ways), then this is the only way to do it, since there are no other multiples that all fit in the same orientation.

Answer 2

how did you get 2,5,7??