Question

Find the capacity of a closed rectangular cistern whose length is 8 m, breadth 6 m and depth 2.5m. Also find the area of the iron sheet required to make the cistern.

Answer 1

Length of Cistern = 8 m

Breadth of Cistern = 6 m

Height of Cistern = 2.5 m

Therefore, the capacity of the cistern = Volume of the cistern

Volume of cistern = l × b × h = (8 × 6 × 2.5) $m^3$ =120 $m^3$

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)) $m^2$

= 2(48 + 15 + 20) $m^2$ = (2 × 83) $m^2$ = 166 $m^2$