Question

A cuboidal water tank is 6m long, 5m wide and 4.5m deep. How many litres of water can it hold?

Answer 1

Hint: Find the volume of the cuboidal water tank using the volume of a cuboid formula. 1 cubic meter of the water tank can accommodate 1000 litres of water.

Complete step-by-step answer:

A cuboid is a three-dimensional shape which consists of six faces, eight vertices and twelve edges. In everyday life, objects like a wooden box, a matchbox, a tea packet, a chalk box, a dice, a book, etc are encountered. All these objects have a similar shape. In fact, all these objects are made of six rectangular planes. The shape of these objects is either a cuboid or cube. A cube is a type of cuboids but with equal dimensions.

Volume of a cuboid is $l\times b\times h$ where l is the length of the cuboid, b is the breadth of the cuboid and h is the height of the cuboid.
Here we are given that l=6m, b=5m and h=4.5m.
Volume= $l\times b\times h$
 $$\begin{gathered} =6\times 5\times 4.5 \\ =135m^3 \end{gathered}$$
Therefore, the volume of the cuboidal water tank is 135 cubic meters.
1 cubic meter can accommodate 1000 litres of water.
135 cubic meters can accommodate $135\times 1000$ litres of water.
=135000 litres of water.
The cuboidal water tank which is 6m long, 5m wide and 4.5m deep can accommodate 135000 litres of water.
Note: A cuboid is a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But all the faces of a cuboid may not be equal in dimensions.