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Total surface area = 2*(H*L + L*W + W*H)

308 = 2*(6*4 + 4*W + W*6)

that is 154 = 24 + 4W + 6W

or 130 = 10 W so that W = 13 inches.

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Q: What is the height of a 6 inches wide 4 inches long prism if the surface area is 308 square inches?
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