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a rectangular prism has a square base with a side length of 10 inches. The volume of the prism is 1,600 cubic inches. Find the surface area of the prism

Respuesta :

Answer:

840 in^2

Step-by-step explanation:

If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).

The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2:  It is 16 in.  Then the combined areas of the four sides of the prism is 4(160 in^2).

The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.

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