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To find the total surface area of a prism you add the lateral area and the areas of the two congruent bases. The formula is:

Surface area = L.A. + 2B, where B is the area of the base.

S.A. = L.A. + 2B

Since the L.A. = 2(lh + hw) added to the area of the two bases, 2B = 2lw, another formula for the surface area can be S.A. =2(lh + hw + lw).

By substituting the given values, l = 6 in, h = 2 in, and w = 8 in, in the surface area formula we have:

S.A. = 2(lh + hw + lw)

S.A. = 2[(6)(2) + (2)(8) + (6)(8)] = 2(12 + 16 + 48) = 2(76)

S.A. = 152

Thus, the surface area of the prism is 152 square inches.

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Q: What is the surface area of a rectangular prism that is 6 inches long 8 inches wide and 2 inches high?
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