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The perimeter of the base of a rectangular prism directly influences the lateral area, as the lateral area is calculated by multiplying the perimeter of the base by the height of the prism. Specifically, the lateral area ( A_L ) is given by ( A_L = P \times h ), where ( P ) is the perimeter of the base and ( h ) is the height. Therefore, a larger perimeter results in a larger lateral area, assuming the height remains constant. Conversely, for a fixed lateral area, changes in the perimeter would necessitate adjustments in the height.

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9mo ago

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