Question

Martin wants to know the volume of a rectangular hole in the ground. He fills it with blocks that each have a volume of 1 unit ^ 3. The blocks are arranged in 12 layers of 84. What is the volume of the hole ? Show your work

Answer 1

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,

`\text{ Volume of Hole = Total number of blocks x Volume of each block}`
`\text{ = (1,008 Blocks)(1 unit}^3\text{ per Block)}`
`\text{Volume of Hole = 1,008 unit}^3`

Therefore, the volume of the rectangular hole is 1,008 unit³.