VOLUME OF PYRAMID

Pyramid is basically a prism where all the side walls will be triangles and there will be no top portion.

To understand, how to find volume of a pyramid, let us consider the pyramid given below.

Formula to find volume of the above pyramid

= (1/3) x Base area x Height

Find the volume of the pyramid :

Example 1 :

Solution :

Formula to find volume of pyramid is

=  (1/3) x Base area x Height

Here, the base is a square with side length 8 cm. 

So, area of the base is 

=  8 x 8

=  64 cm²

Height of the pyramid is 9 cm.

Then, volume of the pyramid is 

=  (1/3) x 64 x 9

=  192 cm³

Example 2 :

Solution :

Formula to find volume of pyramid is

=  (1/3) x Base area x Height

Here, the base is a rectangle with side length 10 inches and width 8 inches.  

So, area of the base is

=  10 x 8

=  80 in²

Height of the pyramid is 6 inches.

Then, volume of the pyramid is

=  (1/3) x 80 x 6

=  160 in³

Example 3 :

Solution :

Formula to find volume of pyramid is

=  (1/3) x Base area x Height

Here, the base is an equilateral triangle with side length of 8 cm.

So, area of the base is

=  (√3 / 4) x 8²

=  16√3 cm²

Height of the pyramid is 10 cm.

Then, volume of the pyramid  is

=  (1/3) x (16√3) x 10

=  160√3 / 3 cm³

Example 4 :

Solution :

Formula to find volume of pyramid is

=  (1/3) x Base area x Height

Here, the base is a triangle with height 7 inches and base 8 inches.

So, area of the base is 

=  (1/2) x 8 x 7

=  28 in²

Height of the pyramid is 9 inches.

Then, volume of the pyramid is 

=  (1/3) x 28 x 9

=  84 in³

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