a box with a square base has length plus girth of 108 in. What is the length of the box if its volume is 2200 in^3?

Respuesta :

The missing length of the box with square base is 20.370 inches.

What is the missing length of the box?

This box can be represented by a right prism, whose volume (V), in cubic inches, is the product of the area of the base (A), in square inches, and the height of the box (h), in inches. The area of the base is equal to the square of the side length (l):

V = l² · h      (1)

If we know that V = 2 200 in³ and l = 108 in, then the height of the box is:

h = V / l²

h = (2 200 in³) / (108 in)

h = 20.370 in

The missing length of the box with square base is 20.370 inches.

Remark

The statement presents typing mistakes, correct form is shown below:

A box with a square base has a side length of 108 in. What is the length of the box if its volume is 2 200 in³?

To learn more on prisms: https://brainly.com/question/12649592

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