Question
A rectangular shaped pit of length 10 ft and breadth 8
ft is made in a rectangular field of length 32 ft and breadth 20 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 = 32 × 20 = 640 sq. ft Area of the rectangular pit = 8 × 10 = 80 sq. ft ∴ The area of remaining field = 640 – 80 = 560 sq. ft Hence, Volume of the pit = Area of remaining field × Increased level l × b × h = 560 × 1.25 10 × 8 × h = 700 ∴ h = 700/80 = 8.75 ft Hence, the depth of the pit is 8.75 ft
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