Question

Length, breadth and height of a cuboidal tank are in the ratio of 6:2:1. The lateral surface area of the tank is 400 sq.m. Find
i) Volume of the tank.

ii) If water flows into the tank at a rate of 10 cubic meter per minute, calculate the no. of hours for the tank to get completely filled. [4 MARKS]

Answer 1

Concept: 1 Mark
Formula: 1 Mark
Application: 2 Marks

$2h(l+b)=400...........\left(1\right)$

Let height h be ‘x’.

$h=x,b=2x,l=6x...........\left(2\right)$

Substitute (2) in (1)

$2\times x\times (6x+2x)=400$

$\Rightarrow x=5$

$\Rightarrow h=5,l=30,b=10$



i) Volume of the tank

$=lbh$

$=30\times 10\times 5$

$=1500m^3$

ii) Total time required

$=\frac{1500}{10}=150min=2.5hrs$