A hexagonal hole of each side 2 metres is dug in the school ground to collect rain water. It is 3 metres deep. It now has water one metre deep. How much litres of water is in it?

Given: side of hexagonal hole “s” = 2m

Height of the hole “h” = 3m

Level of water in the hole “l” = 1m

To find : water in hole in litres “W” = ?

Procedure :

Here, water filled in the hole will be, Volume of hole occupied by water in litres.

So, volume of water = height of water in hole × area of the base of the hexagonal base

⇒ volume of water = 1 × × side²

= ×2²

= ×4

= × 2

= 10.3923m³

Now, volume of water in the hole = 10.3923m³

As we know, one cubic meter = 1000 litres.

So, volume of water in the hole in litres = 10.3923m³ × 10³L

∴ volume of water in the hole in litres = 10392.3L

∴ there is 10392.3 Litres of water in the hexagonal hole.