Question

The hole for a footing needs to be 6 ft deep. If it is currently 1 ft 9 in. deep, how much deeper does it need to be dug? Give the answer in inches.The hole needs to be dug ___ inches deeper.

Answer 1

`51\text{ i}n`

Step-by-step explanation

First, we need to convert the required depth of the hole and the current depth of the hole to inches.

To convert from feet to inches, multiply the depth by 12.

Hence, 6 ft to inches is:

`\begin{gathered} 6*12 \\ 72\text{ }in \end{gathered}`

and 1 ft 19 in is:

`\begin{gathered} (1*12)+9=12+9 \\ 21\text{ }in \end{gathered}`

Now, find the difference between the two depths:

`\begin{gathered} 72-21 \\ 51\text{ }in \end{gathered}`

Hence, the hole needs to be dug 51 inches deeper.