Question

Find the volume of the cuboid whose
1) Length = 10 cm , breadth = 8 cm , height = 3 cm
2) Length = 1.5 m , breadth = 25 cm , height = 15 cm
3) Length = 15 cm , breadth = 2.5 dm , height = 8 cm

Answer 1

Hint:
At we need to convert all the three dimensions to the same units and by applying the formula $\text{Volume of the cuboid} = \text{length} \times \text{breadth} \times \text{height}$ cubic units we can find the required volume.

Complete step by step solution:
Length = 10 cm , breadth = 8 cm , height = 3 cm
Here all the measurements are given in centimetres so we can proceed with the calculation of volume.
$\text{Volume of the cuboid} = \text{length} \times \text{breadth} \times \text{height}$
$
   \Rightarrow Volume = 10 \times 8 \times 3 \\
  {\text{ = }}10 \times 24 \\
  {\text{ = }}240c{m^3} \\
 $

Length = 1.5 m , breadth = 25 cm , height = 15 cm
Here the length is given in metres and the other two dimensions are given in centimetres
So lets convert the length into centimetres by multiplying by 100
$ \Rightarrow 1.5m = 1.5 \times 100 = 150cm$
$\text{Volume of the cuboid} = \text{length} \times \text{breadth} \times \text{height}$
$
   \Rightarrow Volume = 150 \times 25 \times 15 \\
  {\text{ = }}150 \times 375 \\
  {\text{ = 56250}}c{m^3} \\
$

Length = 15 cm , breadth = 2.5 dm , height = 8 cm
Here the breadth is given in decimetres and the other two dimensions are given in centimetres
So lets convert the breadth into centimetres by multiplying by 10
$ \Rightarrow 2.5dm = 2.5 \times 10 = 25cm$
$\text{Volume of the cuboid} = \text{length} \times \text{breadth} \times \text{height}$
$
   \Rightarrow Volume = 15 \times 25 \times 8 \\
  {\text{ = }}15 \times 200 \\
  {\text{ = 3000}}c{m^3} \\
 $

Note:
Volume is the amount of space occupied by an object or a material. Volume is said to be a derived unit, since the volume of an object can be known from other measurements. In order to find the volume of a rectangular box, for example, one only needs to know the length, width, and depth of the box.