Given in the question,
a.) A rectangular hole in the ground.
b.) Each block has a volume of 1 unit ^ 3.
c.) The blocks are arranged in 12 layers of 84.
To be able to determine the volume of the rectangular hole, let's first determine how many blocks were filled in the hole.
It mentioned that the blocks are arranged in 12 layers of 84. Therefore, the number of blocks that filled in the hole is 12 x 84 = 1,008 blocks.
Each block has a volume of 1 unit ^ 3. Therefore, to get the total volume of the hole, we multiply the total number of blocks by the volume each block has.
We get,
Therefore, the volume of the rectangular hole is 1,008 unit³.