VOLUME OF PYRAMID

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.

The formula to find volume of the above pyramid

=  (1/3) x Base area x Height

Volume of pyramid - Practice problems

Problem 1 :

Find the volume of the pyramid given below.

Solution :

Volume of the pyramid   =  (1/3) x Base area x Height

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

So, area of the base  =  8 x 8  =  64 sq. cm

Height of the pyramid  =  9 cm

Volume of the pyramid  =  (1/3) x 64 x 9

Volume of the prism  =  192 cubic cm

Problem 2 :

Find the volume of the pyramid given below.

Solution :

Volume of the pyramid   =  (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  =  10 x 8  =  80 sq. inches

Height of the pyramid  =  6 inches

Volume of the pyramid  =  (1/3) x 80 x 6

Volume of the prism  =  160 cubic inches

Problem 3 :

Find the volume of the pyramid given below.

Solution :

Volume of the pyramid   =  (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  =  (√3 / 4) x (8)²  =  16√3 sq. cm

Height of the pyramid  =  10 cm

Volume of the pyramid  =  (16√3) x 10

Volume of the prism  =  8√3 / 5 cubic cm

Problem 4 :

Find the volume of the pyramid given below.

Solution :

Volume of the pyramid   =  (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  =  (1/2) x 8 x 7  =  28 sq. inches

Height of the pyramid  =  9 inches

Volume of the pyramid  =  28 x 9

Volume of the prism  =  252 cubic inches

After having gone through the stuff given above, we hope that the students would have understood "Volume of a pyramid".

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