The surface area of a cube is 1734 cm2, its volume is :

The correct answer is Option (1) → 4913 cm³

A cube has 6 equal square faces, so its surface area is \(6a^{2}\), and its volume is \(a^{3}\), where \(a\) is the edge.

• Surface area: \(6a^{2}=1734\), so each face has area \(a^{2}=289\) and the edge is \(a=17\,\mathrm{cm}\)

• Volume of the cube, the edge multiplied by itself three times, \(=17^{3}=\) 4913 cm³