Official papers

Official Specimen Paper 1 · Q12

Paper 1Geometry

The cross-section of a triangular prism is an equilateral triangle with side 2x cm2x\,\text{cm}. The length of the prism is d cmd\,\text{cm}.

Let the total surface area of the prism be T cm2T\,\text{cm}^2. Given that the volume of the prism is T cm3T\,\text{cm}^3, which one of the following is an expression for dd in terms of xx?

Ax2x−3\dfrac{x}{2x-3}
B3x3x−23\dfrac{3x}{3x-2\sqrt3}
C2xx−43\dfrac{2x}{x-4\sqrt3}
D2xx−23\dfrac{2x}{x-2\sqrt3}
E2xx−3\dfrac{2x}{x-\sqrt3}

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