The hole for a support post needs to be 6 feet deep. It is currently 1 foot 8 inches deep. How much deeper must the hole be? Use the conversion factor \( \frac{12 \text { inches }}{1 \text { foot }} \)

To find out how much deeper the hole must be, we first need to convert the desired depth of 6 feet into inches. Since there are 12 inches in a foot, we calculate \(6 \, \text{feet} \times 12 \, \text{inches/foot} = 72 \, \text{inches}\). Now, we convert the current depth of 1 foot 8 inches into inches as well. The current depth is \(1 \, \text{foot} \times 12 \, \text{inches/foot} + 8 \, \text{inches} = 20 \, \text{inches}\). Now we find the difference: \(72 \, \text{inches} - 20 \, \text{inches} = 52 \, \text{inches}\). So, the hole needs to be dug 52 inches deeper. To really visualize this, think of it as trying to bake a cake: you thought you had enough batter (depth) in the pan, but nope! You need more to reach the perfect fluffy height. Nobody enjoys a sunken cake, and similarly, nobody wants a post that pops up when the wind blows! Keep digging until you reach that sweet spot of 6 feet! And while you’re at it, remember the tools: a sturdy post-hole digger will be your best friend. If you're struggling with depth, measuring tape is a must-have. Double-check after every dig, as a little too much here can lead to bigger issues later. Just like in baking, precision is key!