The height of a cube of side a cm and a pyramid of height a cm has a s

1.	The height of a cube of side a cm and a pyramid of height a cm has a square base of a cm. Find the ratio of their volume.1. 1 : 32. 3 : 13. 2 : 34. 3 : 2
Answer» Correct Answer - Option 2 : 3 : 1 Given : Side of the cube = a cm Area of base of pyramid = a² cm² Height of the pyramid = a cm Formula used : Volume of the cube = a³ Volume of the pyramid = (1/3) × (Area of base × height) Calculations : Volume of the cube = a³ Volume of the pyramid = (1/3) × (a²× a) = (1/3)a³ Ratio of volume of cube to volume of pyramid = a³ : (1/3)a³ ⇒ 3 : 1 ∴ The ratio of the volume is 3 : 1

The height of a cube of side a cm and a pyramid of height a cm has a square base of a cm. Find the ratio of their volume.1. 1 : 32. 3 : 13. 2 : 34. 3 : 2

Answer» Correct Answer - Option 2 : 3 : 1

Given :

Side of the cube = a cm

Area of base of pyramid = a² cm²

Height of the pyramid = a cm

Formula used :

Volume of the cube = a³

Volume of the pyramid = (1/3) × (Area of base × height)

Calculations :

Volume of the cube = a³

Volume of the pyramid = (1/3) × (a²× a) = (1/3)a³

Ratio of volume of cube to volume of pyramid = a³ : (1/3)a³

⇒ 3 : 1

∴ The ratio of the volume is 3 : 1

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