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following figure shows cross-sections through three long conductors of the same length and material

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following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge length as shown. Conductor B will fit snugly with conductor A, and conductor C will fit snugly with conductor B. Relationship betweeen their end to end resistance is

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R=\frac{\rho l}{A}

Given length and material is same, so length and resistivity is same.

area\ of\ cross-section\ of\ A\ =(\sqrt{3}a)^2-(\sqrt{2}a)^2=a^2\\area\ of\ cross-section\ of\ B=(\sqrt{2}a)^2-(a)^2=a^2\\area\ of\ cross-section\ of\ C=a^2

so area are also same. 

R_A=R_B=R_C

 

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