Question 50

The approximate sidewall area of the seepage pit is 230 square feet.

To calculate the sidewall area of a seepage pit, we consider the dimensions of the pit. The sidewall area is determined by the formula for the lateral surface area of a cylinder, which is the circumference multiplied by the depth. In this case, the circumference (perimeter) of the pit is approximately 15.7 feet (using the diameter) times the depth of 14 feet, yielding an area close to 230 square feet.

A) 210 square feet

While this value is close, it underestimates the sidewall area. The calculation of the circumference and the subsequent multiplication by the depth results in a higher area than 210 square feet.

B) 220 square feet

This option is also lower than the correct calculation. The formula used to find the sidewall area leads to a result that exceeds 220 square feet, indicating that this choice does not accurately reflect the pit's dimensions.

C) 230 square feet

This is the correct calculation of the sidewall area. By applying the formula for lateral surface area, the computation confirms that the sidewall area for a seepage pit of the given dimensions is approximately 230 square feet.

D) 240 square feet

This value overestimates the sidewall area. The calculations for the circumference and depth show that the area cannot reach 240 square feet, making this option incorrect based on the provided dimensions.

Conclusion

The correct answer of 230 square feet is derived from the accurate application of the formula for calculating sidewall area, which reflects the dimensions provided. All other options fail to align with the correct calculation, either underestimating or overestimating the area based on the specified measurements of the seepage pit.