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A shipping box has to have specific dimensions to hold an item. The volume must be 1000 cubic inches. The width must be 1/4 of the length and the height must be 2 times the width. Give the dimensions of the box below. Give your answers as whole numbers or decimals rounded to 1 decimal place.

Respuesta :

N0seeee

Let's assume the length of the box is x inches.

Given that the width is 1/4 of the length, we have:

Width = x/4

Also given that the height is 2 times the width, we have:

Height = 2(x/4) = x/2

Now, the volume of the box is 1000 cubic inches:

Volume = Length x Width x Height

1000 = x * (x/4) * (x/2)

1000 = x^3 / 8

8000 = x^3

x = 20

So, the length of the box is 20 inches, the width is 5 inches (20/4), and the height is 10 inches (20/2).

Therefore, the dimensions of the shipping box are:

Length = 20 inches

Width = 5 inches

Height = 10 inches

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