Example 3: Find the cube root of 15625. Sol: The factors of 15625 are = 5 * 5 * 5 * 5 * 5 * 5. =25 * 25 * 25 Þ the cube root of 15625 is 25.

Hence, the cube root of 13824 is 24.

Find Cube Root of 13824

1. Identify the last three digits and make groups of three digits from right side. That is 13824 can be written as 13 , 824.
2. Take the last group which is 824. The last digit of 824 is 4.
3. Take the next group which is 13. From point 3, we see that 13 lies between 8 and 27 which are cubes of 2 and 3 respectively.

Prime factorisation of 13824 = 2×2×2×2×2×2×2×2×2×3×3×3.

48

The value of the cube root of 1728 is 12. It is the real solution of the equation x3 = 1728….Cube root of 1728 in radical form: ∛1728.

In geometry, cubic units can be defined as the units used to measure volume. The volume of a unit cube whose length, width and height are 1 unit each is 1 cubic unit. Here, the rectangular prism is made up of smaller unit cubes.

Multiply Length 48″ x Width 40″ x Height 28″ (22″ plus 6″ of pallet) = 53,760 cubic inches. Divide 53,760 by 1,728 = 31.1cubic feet. Divide 110 pounds (80 lbs for the carton and approximately 30 lbs for the pallet) by 31.1 cubic feet = 3.54 pounds per cubic feet (PCF), i.e., density.

Each of these objects is an example of a perfect cube. A cube is a three-dimensional shape that has squares for all six of its sides. This can be done by finding the object’s volume. Cube is a solid three-dimensional shape, which has 6 square faces or sides.