A shipping box, in the shape of a cube, has a volume of 2,300 cubic inches. Calculate the length of the side of the shipping box to the nearest tenth

Respuesta :

In order to solve this problem, you were supposed to find the cube root of 2300. The length of the cube is about 13 inches. Here is how i solved the problem. I hope this helps :)

Answer:

The side length is approximately 13.2 inches

Step-by-step explanation:

Given

[tex]Volume = 2300in^3[/tex]

Shape: Cube

Required

Determine the side length

Represent each side with x.

So, we have:

[tex]Volume = x^3[/tex]

Substitute 2300 for Volume

[tex]2300 = x^3[/tex]

Take cube roots of both sides

[tex]\sqrt[3]{2300} = x[/tex]

[tex]x = \sqrt[3]{2300}[/tex]

[tex]x = 13.2\ in[/tex] -- approximated