What is the surface area of a rectangular prism with length 9, width 4, and height 6?

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Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions that feature hints and explanations. Equip yourself for success!

Multiple Choice

What is the surface area of a rectangular prism with length 9, width 4, and height 6?

Explanation:
Surface area of a rectangular prism is the sum of the areas of all its faces. There are three distinct face sizes: length by width, length by height, and width by height, each appearing twice. So use 2(lw + lh + wh). For length 9, width 4, height 6: lw = 36, lh = 54, wh = 24. Add them: 36 + 54 + 24 = 114. Multiply by 2 to include the opposite faces: 228. Therefore, the surface area is 228.

Surface area of a rectangular prism is the sum of the areas of all its faces. There are three distinct face sizes: length by width, length by height, and width by height, each appearing twice. So use 2(lw + lh + wh). For length 9, width 4, height 6: lw = 36, lh = 54, wh = 24. Add them: 36 + 54 + 24 = 114. Multiply by 2 to include the opposite faces: 228. Therefore, the surface area is 228.

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