How to find the surface area of a prism - ISEE Upper Level Mathematics Achievement

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Question

Find the surface area of a non-cubic prism with the following measurements:

Answer

The surface area of a non-cubic prism can be determined using the equation:

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Question

Box

The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the surface area of the box.

Answer

A square has four sides of equal length, as seen in the diagram below.

Box

All six sides are rectangles, so their areas are equal to the products of their dimensions:

Top, bottom, front, back (four surfaces):

Left, right (two surfaces):

The total surface area:

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