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Amanda is shipping a package, which is in the shape of a cube. To determine the cost of shipping, she must determine the side length of the package. She knows that the volume of the package is V cubic inches. so which function to use

Respuesta :

mixter17

Hello!

The answer is: [tex]L=\sqrt[3]{V}[/tex] , it's a cubic function.

Why?

If  the package has a shape of a cube, we can determine its volume with the following function:

[tex]V=L^{3}[/tex]

Where:

[tex]V=Volume\\L=sideLength[/tex]

So, the function will be:

[tex]V=L^{3}\\\\\sqrt[3]{V}=\sqrt[3]{ L^{3}}\\\\\L=\sqrt[3]{V}[/tex]

Have a nice day!

alinakincsem

Answer:

Cubic function

Step-by-step explanation:

We know that Amanda is shipping a package which is in a cubic shape and she must know the length of the package in order to determine its shipping cost.

We are to figure out the function which should be used to find the length, given that the volume of the package is V cubic inches.

We know that the volume of a cube is given by:

[tex]V=l^3[/tex]

where V is the volume and l is the length of the cube.

[tex]l=V^{\frac{1}{3} }[/tex]

[tex]l=\sqrt[3]{V}[/tex]

Therefore, a cubic function should be used.

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