Final answer:
The height of the platform created by spreading the earth dug out from a 14m deep well over a 10m × 4m field is 0.35m, which does not match any of the provided options.
Step-by-step explanation:
The question is asking for the height of a platform created by spreading the earth dug out from a 14m deep well over a 10m × 4m field. To solve this, we need to use the formula for the volume of a rectangular prism (Volume = length × width × height) for both the well and the platform.
Firstly, calculate the volume of the earth dug out of the well. Assuming the well has a circular cross-section, we can say that the volume of the earth is roughly equivalent to the volume it would occupy when spread out as a rectangular block:
Volume of earth = Depth of well = 14m (since the cross-sectional area of the well is not given, we approximate it to 1m²)
The volume is then spread out to fill a volume with the base area of the field (10m × 4m). The height of the platform can be calculated as:
Height of platform = Volume of earth / Area of field = 14m / (10m × 4m) = 0.35m
Therefore, option (d) 2m is incorrect. The correct height of the platform is 0.35m, which is not listed among the options provided, assuming no compaction or expansion of the earth.