Question 133

A cuboidal tank has 25000 litres of water. If the depth of the cuboid is $$\frac{1}{5}$$ of its length and breadth is $$\frac{1}{8}$$ of its length, then the length of the tank is:

Solution

volume(capacity) of tank=25000litres=$$25m^3$$

let length of tank be l metre.

according to que,

width of tank,b=l/8 m

depth of tank,h=l/5 m

volume=lbh,

$$lbh=25m^3$$

$$l\times\dfrac{l}{8}\times\dfrac{l}{5}=25$$

$$l^3\dfrac{1}{40}=25$$

$$l^3=25\times40$$

$$l^3=1000$$

$$l=10$$m

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