We were told from the question that a sphere and a cube has identical volume of
3375 cm³.
We are to determine if they have identical surface area.
Let's use the cube to determine it.
let the edge of the cube be a cm
Volume of cube = 3375 cm³
recall that the formulas for volume of a cube is:
Volume = a³
So,
a³ = 3375 cm³
let's take square of both sides
a = 3√3375
a = 15 cm
Surface Area of cube = 6a²
= 6(15)²
= 6 * 225
Surface area of cube = 1350 cm²
They won't have identical surface area.