Which expression equals the surface area of a rectangular prism?

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Multiple Choice

Which expression equals the surface area of a rectangular prism?

Explanation:
Surface area is the total area of all six faces of a rectangular prism. With dimensions L, W, and H, the pairs of opposite faces have areas LW, LH, and WH, and each pair appears twice. So the total is 2LW + 2LH + 2WH, which factors to 2(LW + LH + WH). This matches the expression that has a 2 multiplying the sum of LW, LH, and WH, making it the correct one. The other forms either omit the factor of 2, drop a term, or add an extra or incorrect factor, so they don’t represent the surface area.

Surface area is the total area of all six faces of a rectangular prism. With dimensions L, W, and H, the pairs of opposite faces have areas LW, LH, and WH, and each pair appears twice. So the total is 2LW + 2LH + 2WH, which factors to 2(LW + LH + WH). This matches the expression that has a 2 multiplying the sum of LW, LH, and WH, making it the correct one. The other forms either omit the factor of 2, drop a term, or add an extra or incorrect factor, so they don’t represent the surface area.

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