Compute the surface area of a rectangular prism with length 2, width 3, and height 4.

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Multiple Choice

Compute the surface area of a rectangular prism with length 2, width 3, and height 4.

Explanation:
Surface area of a rectangular prism is found by adding the areas of all six faces, which each come in pairs of equal size. Use the formula 2(lw + lh + wh). With length 2, width 3, and height 4: lw = 2·3 = 6, lh = 2·4 = 8, wh = 3·4 = 12. Add them: 6 + 8 + 12 = 26. Double for the pairs of opposite faces: 26 × 2 = 52. So the surface area is 52. If you only summed the three distinct face areas once or made a miscount with the doubling, you’d get a different number.

Surface area of a rectangular prism is found by adding the areas of all six faces, which each come in pairs of equal size. Use the formula 2(lw + lh + wh).

With length 2, width 3, and height 4: lw = 2·3 = 6, lh = 2·4 = 8, wh = 3·4 = 12. Add them: 6 + 8 + 12 = 26. Double for the pairs of opposite faces: 26 × 2 = 52.

So the surface area is 52. If you only summed the three distinct face areas once or made a miscount with the doubling, you’d get a different number.

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