CBRT

Calculates the cube root of a number.

Syntax:

CBRT(number)

number is the value you want to find the cube root of.

Example:

If number contains 12:

CBRT(12)

returns 2.289428485

Number:

Result:

2.289428485

Application:

The CBRT function is used to find the cube root of a number. In a real-world scenario, this is particularly useful when dealing with volumes of cubes and needing to find the length of one of its sides.

Scenario: A company, "Cubic Containers Inc.," manufactures large, cube-shaped storage tanks. They need to create a new line of tanks with specific volumes and need to determine the exact length of each side to ensure they fit through standard warehouse doors and on shipping pallets.

The volume of a cube is calculated as: V=s3

Where:

V = Volume
s = Side length

To find the side length (s) from a given volume (V), the company needs to use the cube root function:

$s = 3 V$ or $s = CBRT (V)$

The company has received orders for tanks with the following volumes and needs to calculate the corresponding side lengths:

	Order Number	Volume (cubic meters)	Calculation	Side Length (meters)
	A	B	C	D
1	#101	8	s=CBRT(8)	2
2	#102	27	s=CBRT(27)	3
3	#103	64	s=CBRT(64)	4
4	#104	125	s=CBRT(125)	5
5	#105	216	s=CBRT(216)	6
6	#106	343	s=CBRT(343)	7
7	#107	512	s=CBRT(512)	8

Explanation of the Table:

Order #101: The customer needs a tank with a volume of 8 cubic meters. To find the side length, "Cubic Containers Inc." uses the CBRT function on 8, which gives them a result of 2 meters. This means the tank's dimensions will be 2m x 2m x 2m.
Order #104: Another customer requests a larger tank with a volume of 125 cubic meters. The company calculates the cube root of 125, which is 5. The side length of this tank will be 5 meters.

By using the CBRT function, the company can quickly and accurately determine the exact dimensions of each cube-shaped tank based on the required volume, which is a critical step in their manufacturing and logistics process. This avoids trial-and-error and ensures that all tanks are produced to the correct specifications.