a set of building block includes various shapes and colors. If 10% of the blocks are cubes, then 40% of the cube blocks are red the what % of the blocks are red cubes?
0.1 * 0.4 = 0.04 = 4%
To find out the percentage of blocks that are red cubes, we need to calculate the intersection of two percentages: the percentage of blocks that are cubes and the percentage of cube blocks that are red.
First, let's assume that we have 100 building blocks in total.
Given that 10% of the blocks are cubes, we can calculate the number of cube blocks by taking 10% of the total number of blocks:
Number of cube blocks = (10/100) * 100 = 10 blocks
Next, we know that 40% of the cube blocks are red. Therefore, the number of red cube blocks can be calculated by taking 40% of the number of cube blocks:
Number of red cube blocks = (40/100) * 10 = 4 blocks
Finally, to find the percentage of the blocks that are red cubes, we divide the number of red cube blocks by the total number of blocks and multiply by 100:
Percentage of red cubes = (Number of red cube blocks / Total number of blocks) * 100 = (4/100) * 100 = 4%
So, the percentage of the blocks that are red cubes is 4%.