Cube Formula

Cube Formula Definition

Picture yourself holding a die that is precisely designed, with every side being a perfect square and every edge demonstrating geometric accuracy. This seemingly straightforward object serves as a doorway to the exquisite realm of cubic mathematics rather than just being a gaming component. Through increasing the side length of a cube to the power of three, we can gain a more profound comprehension of geometric qualities and spatial dimensions.

This formula, \( V = s^3 \), where \( s \) is the side length, illustrates how the total volume of a three-dimensional space can be found from a single measurement. 

Cube of any digit, forms by multiplying the digit by itself three times. The cube of 7 is calculated by raising 7 to the power of 3. Mathematically, this is expressed as 73. To compute it:

7×7×7=343

So, the cube of 7 is 343.

Sure, here are solved examples for calculating the volume of cubes:

Solved Examples Using Cube Formula

 

Example 1: Basic Calculation

Problem: Find the volume of a cube with an edge length of 4 cm.

Solution: To find the volume of a cube, use the formula V=s3V = s^3V=s3, where sss is the length of an edge.

V= 43 = 4×4×4 = 64 cm3

Example 2: Larger Edge Length

Problem: Determine the volume of a cube with an edge length of 10 meters.

Solution:  Using the formula X = s3

X = 203 = 20 × 20 × 20 = 8000 m3