Question

1.A cuboidal water tank is 6 m long, 5 m wide and 4.5 m
deep. How many litres of water can it hold ?
(1 m ? = 1000)
( FULL Explanation)​

Answer 1

Step-by-step explanation:

l=6m, b=5m, h=4.5m

⇒Volume of tank =l×b×h

⇒V = 6×5×4.5 = 135m^3

⇒Amount of water hold by 1m^3 volume =1000l

Amount of water hold by 135m^3 volume

=135×1000

$= 135000 \: l$

Answer 2

Given -

• Length of tank = 6m

• Breadth of tank = 5m

• Height of tank = 4.5m

To find -

• How much water can it hold.

Formula used -

• Volume of cuboid

Solution -

Here, we are provided with all the dimensions of the cuboid, and we need to find the volume of water that can the tank hold, for that we will find the volume of tank, and then we will convert it into Litres.

Remember -

Volume of tank = Quantity of water

How -

Volume of cuboid = L × B × H

where -

L = Length

B = Breadth

H = Height

On substituting the values -

Volume = L × B × H

$\longrightarrow$ Volume = 6m × 5m × 4.4m

$\longrightarrow$ Volume = 135m³

Converting it into Litres -

1m³ = 1000

135m³ = 135 × 1000

$\longrightarrow$ 135000ltrs

$\therefore$ The tank can hold 135000ltrs of water.

Few more formule -

1. Curved/lateral surface area of cuboid = 2h(l + b)

2. Total surface area of cuboid = 2(lb + bh + hl)

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