What is the number of square inches of the sidewall area of a seepage pit that measures 6 feet across and 14 feet deep?

To determine the sidewall area of a seepage pit, we first need to understand the dimensions of the pit. The seepage pit in question measures 6 feet across in diameter and is 14 feet deep. The sidewall area refers to the area of the cylindrical side of the pit.

We start our calculation by converting relevant measurements from feet to inches, as the final answer needs to be in square inches. Since there are 12 inches in a foot, we convert the dimensions:

• Diameter: 6 feet = 6 feet × 12 inches/foot = 72 inches

• Radius: 72 inches / 2 = 36 inches

• Depth: 14 feet = 14 feet × 12 inches/foot = 168 inches

Next, we can use the formula for the lateral surface area of a cylinder, which is given by:

[

\text{Lateral Surface Area} = 2 \pi r h

]

where ( r ) is the radius and ( h ) is the height (or depth) of the cylinder.

Substituting in the values we have:

• ( r = 36 ) inches

• ( h = 168 ) inches

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