Question
A rectangular shaped pit of length 18 ft and breadth 16
ft is made in a rectangular field of length 64 ft and breadth 52 ft. The earth dug out of the pit is uniformly spread on the remaining area of the field. If the increase in level of the remaining area is 1.25 ft then what will be the depth of the pit?Solution
Area of the rectangular field = 64 × 52 = 3328 sq. ft Area of the rectangular pit = 18 × 16 = 288 sq. ft ∴ The area of remaining field = 3328 – 288 = 3040 sq. ft Hence, Volume of the pit = Area of remaining field × Increased level l × b × h = 3040 × 1.25 18 × 16 × h = 3800 ∴ h = 3800/288 = 13.19 ft Hence, the depth of the pit is 13.19 ft
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