The total surface area of a cube is 1734 cm2. What is the volume of this cube?
Let a be the side of cube.
Total surface area of a cube = 6a2
Volume of a cube = a3
Given,
Total surface area of a cube = 1734cm2
⇒ 1734 = 6a2
⇒ a2 = 1734/6
⇒ a2 = 289
⇒ a = √289 = 17
Volume of a cube = a3
Volume of a cube = 173
Volume of a cube = 4913
∴ volume of a cube is 4913cm3.