A toddler has 2 sets of blocks. The blocks within each
set are equal-sized cubes. The blocks within one set
are smaller than the blocks within the other set. The
edge length of each smaller block is 21 the edge length
of each larger block. How many of the smaller blocks
must be stacked together to create an arrangement with
the same volume as 1 larger block?
The scale factor is 1:2. Therefore, the ratio of the volumes will be 13:23 or 1:8.
We can make up values for the edges of the cubes. For example, the smaller block can have an edge of length 1. The larger block can have an edge of length 2.
V=s3
The volume of the large cube will be 23=8. The small cube has a volume of 13=1. We would need 8 small cubes to fit in the larger one.