Question

The dimensions of a rectangular water tank are \[2m75cm\] by\[1m80cm\] by \[1m40cm\]. How many litres of water does it hold when filled to the brim?

Answer 1

Hint: Here, we are going to use the formula for the volume of a cuboid. Here the rectangular water tank is shaped like a cuboid so we are using a volume of cuboid formula.

Complete step-by-step answer:
Given, the dimensions of the rectangular tank are\[2m75cm \times 1m80cm \times 1m40cm\]
Let us consider length of the water tank=\[2m75cm\]=\[275cm\]
breadth of the water tank=\[1m80cm\]=\[180cm\]
height of the water tank=\[1m40cm\]=\[140cm\]
then the volume is given by \[lbh = 275 \times 180 \times 140 = 6930000c{m^3}\]
now, \[1000c{m^3} = 1L\]
which implies the capacity of the water tank is \[\dfrac{{6930000}}{{1000}} = 6930L\]
therefore, the amount of water that the water tank holds when filled up to the brim is \[6930L\]

Note: The conversions from centimetres to litres should be done accurately. Volume of a cuboid is the total space occupied by the cuboid in a three-dimensional space.