Final answer:
To find the greatest number of blocks that can fit inside the box, determine the maximum number of blocks that can fit in each dimension. Then, choose the smallest option that divides the height dimension.
Step-by-step explanation:
To find the greatest number of blocks that can fit inside the box, we need to determine the maximum number of blocks that can fit in each dimension. The box dimensions are 8 by 12 by 10, and the block dimensions are 1 by 2 by [insert options].
The maximum number of blocks that can fit in the length dimension is 8 divided by 1, which is 8.
The maximum number of blocks that can fit in the width dimension is 12 divided by 2, which is 6.
The maximum number of blocks that can fit in the height dimension is 10 divided by [insert options], which depends on the given options. Therefore, the greatest number of blocks that can completely fit inside the box with dimensions of 1 by 2 is the smallest option that divides 10.