Question 65

An open tank 15 m long, 12 m wide and 5 m deep is to be constructed with the help of a stainless-steel sheet which is 1.5 m in width. What length (in m) of the sheet will be required?

Solution

An open tank 15 m long, 12 m wide and 5 m deep.

Let's assume the length, breadth, and height of open tank is L, B and H respectively.

The total surface area of open tank = $$2\left(LB+BH+LH\right)-LB$$

= $$2\left(15\times12+12\times5+15\times5\right)-15\times12$$

= $$2\left(180+60+75\right)-180$$

= $$2\times315-180$$

= 630-180

= 450 $$m^2$$
width of stainless-steel sheet = 1.5 m

Length (in m) of the sheet will be required = $$\frac{450}{1.5}$$

= 300


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