Examples on Volume of Square Pyramid

Example 1: Find the volume of a square pyramid if the area of the base is 60 m² and the height of the square pyramid is 10 m.

Solution:

Given,

• Area of Base (A) = 60 m²
• Height (h) = 10 m

Using the Formula,

V = 1/3 × A × h

⇒ V = 1/3 × 60 × 10

⇒ V = 200 m³

Thus, the volume of the given square pyramid is, 200 m³

Example 2: Find the area of the base of the square pyramid if its volume is 300 cu. m and height is 15 m.

Solution:

Given,

• Volume of Square Pyramid (V) = 300 m³
• Height (h) = 15 m

Using the Gormula,

V = 1/3 × A × h

⇒ VA = (3V)/h

⇒ VA = 3 (300)/15

⇒ VA = 60 m²

Thus, the area of square base of the pyramid is 60 m²

Example 3: Find the height of the square pyramid if its volume is 450 m³ and the area of the square base is, 45 m².

Solution:

Given,

• Volume of Square Pyramid (V) = 450 m³
• Area of Square base of Square Pyramid (V) = 45 m³

Using the Formula,

V = 1/3 × A × h

⇒ h = (3V)/A

⇒ h = 3 (450)/45

⇒ h = 30 m

Thus, the height of square pyramid is 30 m.

Example 4: Find the volume of the square pyramid if the height of the square pyramid is 8 m and the side of the square base is 6 m.

Solution:

Given,

• Side of Square base = a = 6 m
• Height of Square pyramid = h = 8 m

Using the Formula,

V = 1/3 × a² × h

⇒ V = 1/3 × (6)² × (8)

⇒ V = 96 m³

Thus, the volume of square pyramid is 96 m³.

Volume is nothing but the space occupied by the object in 3-D and the volume of a square pyramid is the space occupied by the five faces of the square pyramid. A square pyramid is a three-dimensional geometric formed with a square base and four triangular side faces connected such that they all meet at the apex of the square pyramid.

Volume of the square pyramid is the volume of space enclosed inside all its five faces. Now let’s learn about the square pyramid, its volume, examples, and others in this article.