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A plot of land in the form of a rectangle has dimensions 240m x 180m. A draint 10m wide is dug all around it on the outside and the earth dug out is evenly spread over the plot increasing its surface level by 25cm. The depth of the drailent of

Correct answer: A. 1.227m

  • A. 1.227m
  • B. 1.225m
  • C. 1.233m
  • D. 1.229m

Explanation

The outside drain increases each plot dimension by 20 m, so its outer area is 260 m × 200 m = 52,000 m2. Drain area = 52,000 m2 − (240 m × 180 m) = 8,800 m2, while the spread earth has volume 240 m × 180 m × 0.25 m = 10,800 m3. Thus depth = 10,800 m3 ÷ 8,800 m2 = 1.227 m approximately. The likely wrong choice is 1.225 m, caused by premature rounding.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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