Solved Examples on Cube root of 27

Example 1: What is the length of side of a cube box it its volume is 27 cube unit?

Solution:

Volume of a cube = (side)³

Length of side of cube = (volume)^1/3

⇒ Length of side = (27)^1/3

⇒ Length of side = (3)^{3 × 1/3}

⇒ Length of side = 3 unit

The length of the side of the cube is 3 unit.

Example 2: If Ayush got total of 27 rupees in three days from his father. The amount of money his father gave him are equal. What is the amount of money his father gave him everyday?

Solution:

He got total of 27 rupees.

His father gave him equal amount daily in three days

So, the amount he will get in one day = 27/3 = 3.

The answer is 3 rupees.

Example 3: What is the radius of hemisphere if its volume is 18π cm³ ?

Solution:

Volume of hemisphere = 2/3πr³ , where r is radius

⇒ 2/3πr³ = 18π cm³

⇒ r³ = (18π × 3)/ 2π

⇒ r = 3cm

The radius of hemisphere is 3cm.

Cube Root of 27 denoted as ∛27 or (27)^1/3, is equal to 3 which means that if you multiply 3 by itself three times (3 × 3 × 3), you will get 27. Cube roots are the inverse operation of cubing a number, and they are often used in various mathematical and scientific calculations.

In this article, we will answer the question i.e. “What is the Cube Root of 27?” and other than this we will also learn various methods for the same.