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Geometry and Trigonometry
Difficulty: Hard
A right rectangular prism has a length of , a width of , and a height of . What is the surface area, , of the right rectangular prism?
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Explanation
The correct answer is . The surface area of a prism is the sum of the areas of all its faces. A right rectangular prism consists of six rectangular faces, where opposite faces are congruent. It's given that this prism has a length of , a width of , and a height of . Thus, for this prism, there are two faces with area , two faces with area , and two faces with area . Therefore, the surface area, , of the right rectangular prism is , or .