Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5 m. Also, find the area of the iron sheet requires making the cistern.
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Solution:
Length of Cistern = 8 m
Breadth of Cistern = 6 m
Height of Cistern = 2.5 m
Therefore, Capacity of the Cistern = Volume of the Cistern
Volume of cistern = l × b × h
= (8 × 6 × 2.5)
= 120 m³
Area of the iron sheet required = Total surface area of the cistern
∴Total surface area
= 2(lb + bh + hl)
= 2[(8 × 6) + (6 × 2.5) + (2.5 × 8)]
= 2(48 + 15 + 20)
= (2 × 83)
= 166 m²
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