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A box with an open top has a square base and four sides of equal height. The volume of the box is 96 ft³. The height is 2 ft greater than both the length and the width. If the surface area is 112 ft²​, what are the dimensions of the​ box?

Respuesta :

Answer:

Dimension of box = 4 ft x 4 ft x 6 ft

Step-by-step explanation:

Let a be the base side of square, and h be the height.

The height is 2 ft greater than both the length and the width.

                h = a + 2

The volume of the box is 96 ft³.

         Volume = Base area x Height = a² x h = a² x (a+2)  

           a² x (a+2)  = 96

           We will get a = 4 ft

Dimension of box = 4 x 4 x (4+2) = 4 ft x 4 ft x 6 ft

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