Question

A reservoir is in the form of a cuboid. Its length is 20m. If 18KL of water is
removed from the reservoir, the water level goes down by 15cm. Find the width
of the reservoir. (1KL = 1 cu.m.)

Answer 1

Answer:

3.75 m

Step-by-step explanation:

Well, ΔV = 18 kilo litres = 18000 litres = 18 cubic meters.

Now, l = 12 metres, b = ? and Δh = 40 cm = 0.4 metre.

ΔV = l * b * (Δh)

18 = 12 * b * (0.4)

b = 3.75

Width of the tank = 3.75 metres.

Answer 2

The width of reservoir is 6m.

A reservoir is in the form of a cuboid. Its length is 20m. If 18 kL of water is removed from the reservoir, the water level goes down by 15cm.

We have to find the width of reservoir.

The reservoir is in the form of cuboid.

∴ the area of base of reservoir = area of rectangle

= length × width

= 20 m × width

now, after removing 18 kL of water, the water level goes down by 15cm.

so the volume of water = area of base of reservoir × change in water level

⇒18 kL = 20m × width × 15cm

[ ∵ 1 kL = 1 m³ , 1cm = 10¯² m ]

⇒18 m³ = 20 m × width × 15 × 10¯² m

⇒18 m³ = 3m² × width

⇒width = 6 m

Therefore the width of reservoir is 6m.