Question

If total surface area of a cube is s sq. unit and the length of the diagonal is d unit, then the relation between s and d is (a) s = 6 d2 (b) 3s = 7d (c) s3 = d2 (d) d2 $=\frac{s}{2}$

January 1, 2024

Answer

d²

Explanation

Total surface area of a cube = s sq. unit

Diagonal of a cube = d unit

Let one side of cube x unit.

$\therefore$ Total surface area (s) = 6x² sq unit

Diagonal (d)=\sqrt{3 x} unit

∴ s = 2d²

∴ $\frac{s}{2}$ = d²

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