Volume of a Pyramid

Let’s start by learning what is a pyramid before learning the volume of a pyramid. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is also a polynomial.

Pyramid’s Volume

To find the volume of a pyramid, we need to know the total space it occupies. It’s volume is measured in following units:

  • in3
  • ft3
  • cm3
  • m3 etc

Note: Always make sure to keep all the measurement units same while calculating the volume.

The volume of the pyramid is always denoted by V, where V stands for Volume and is equal to one-third the area A of the base multiplied by height H.

V = ⅓ b × h

Volume of a pyramid questions

Question 1: What is the volume of a pyramid whose base is square in shape? The sides of the base is 10 cm each and the altitude is 18cm.

Solution: To find the volume of a pyramid, We will use the formula – V = ⅓ b h

As the base of the pyramid is a square, the area of the base is a2 = 10 x 10 = 100 cm2

= ⅓ x 100 cm 2 x 18 cm

= 100 x 6

= 600 cm3

Question 2: What is the volume of a pyramid whose base is square in shape? The sides of the base is 12 cm each and the altitude is 21cm.

Solution: To find the volume of a pyramid, We will use the formula – V = ⅓ b h

As the base of the pyramid is a square, the area of the base is a2 = 12 x 12 = 144 cm2

= ⅓ x 144 cm 2 x 21 cm

= 144 x 7

= 1008 cm3

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Practise This Question

Which of the following shows  12 and 112 on the number line?