Volume Of A Cuboids

 

A cuboid is a 3 dimensional shape. In order to calculate the volume, we need to know the three measurements. The volume is found using the formula:

Volume = Length × Width ×  Height

V = l × w × h

Example 1:

 

The volume is

10 m × 5 m × 4 m = 200 m3

 

It also works out the same like this:

4 m × 5 m × 10 m = 200 m3

Note: the result is in m3 (cubic metres) because we have multiplied metres together three times.

In geometry, a cuboid is a solid shaped figure formed by six faces. There are two definitions for a cuboid. In the more general definition of a cuboid, the only supplementary condition is that each of these six faces is a quadrilateral. Otherwise, the word “cuboid” is sometimes used for referring a shape of this type in which each of the faces is a rectangle, and in which each pair of adjacent faces meets in a right angle. 

A cuboid with length l units, width w units and height h units has a volume of V cubic units given by: V = l × w × h

Example 2:

 A toy box that has the shape of a rectangular prism, has a height of 15 cm, a length of 40 cm and a width of 32 cm. Find the volume of the toy box?
Solution: 
V = l × w × h 
V= 15 X 40 X 32 = 19200 cm3