Question

If volume of a cuboid is 154 cubic cm and the area of its base is 44 sq cm, then its height is​

Answer 1

Given :

Volume of cuboid is $154$ $cm^{3}$ . Area of it's base is $44$ $cm^{2}$

To find :

The height of the cuboid.

Step-by-step explanation:

• Let the volume of cuboid be $V$ , length, breadth and height be $l,b$ and $h$ respectively.
• The volume of cuboid goes by

       $V=lbh$

• We know that the base of cuboid is in the shape of rectangle.
• The area of it's base goes by

      $Area=lb$

• It is given that the base is $44$ $cm^{2}$
• Then the volume goes by,

       $V=(Area)h$

• Substituting the values in the given equation,

       $154=44h$

• Bringing 44 to the other side,

       $h=\frac{154}{44}$

• Then, the value of h will be

       $h=3.5$

Final answer :

The height of the cuboid is $3.5$ $cm$.