Question

The volume of cuboid is $1200c{m^3}$. The length is $15cm$ and breadth is $10cm$. Find it’s height.

Answer 1

Hint: According to the question given in the question we have to find the height of the cuboid when the volume of cuboid is $1200c{m^3}$, length is $15cm$ and breadth is $10cm$. So, first of all we have to let the height of the given cuboid as h cm now to find the height h we have to use the formula to find the volume of cuboid which is given below:
Volume of cuboid $ = l \times b \times h$…………………..(1)
Where, l is the length of the cuboid and b is the breadth of the cuboid. Hence, on substituting all the values in the formula above we can determine the height h of the cuboid by solving some easy calculations.
We can also understand it with the help of the diagram given below:

Complete step-by-step answer:
Given,
Volume of cuboid = $1200c{m^3}$
Length of cuboid $15cm$
Breadth of cuboid $10cm$
Step 1: First of all we have to let the height of cuboid h cm as mentioned in the solution hint and now, to find the value of h we have to use the formula (1) as mentioned in the solution hint.
Hence,
Volume of cuboid $ = 15 \times 10 \times h$
Step 2: On substituting the volume of cuboid in the expression as obtained in step 1
Hence,
$ \Rightarrow 15 \times 10 \times h = 1200$
Applying cross-multiplication in the expression as just obtained above,
$
   \Rightarrow h = \dfrac{{1200}}{{15 \times 10}} \\
   \Rightarrow h = 8cm
 $

Hence, with the help of formula (1) we have obtained the height of the given cuboid $h = 8cm$.

Note: The faces of the cuboid can be any quadrilateral and a cuboid is 3D in shape which have six faces which form a convex polyhedron.
A cuboid that uses all the square faces is the same as a cube.