Randall has a box that measures 12 inches × 9 inches × 8 inches. If Randy wants to cover the box with aluminum foil, how much foil will it take to cover the entire outside of the box?

Respuesta :

Answer:

[tex]A=552\ inches^2[/tex]

Step-by-step explanation:

The dimensions of a box measures 12 inches × 9 inches × 8 inches.

We need to find the area of the aluminium required to cover the entire outside of the box.

We know that the surface area of the cuboidal box is given by :

[tex]A=2(lb+bh+bl)\\\\=2(12\times 9+9\times 8+8\times 12)\\\\=2\times 276\\\\=552\ inches^2[/tex]

So, the required area of the foil is equal to [tex]552\ inches^2[/tex].

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