Total surface area of a cube is 5400 sq. cm. Find the surface area of all vertical faces of the cube.

Given: Total surface area of cube = 5400 cm²

And we know total surface area of cube is given by,

TSA = 6 (side)²

⇒ 5400 = 6 (side)² [∵, it given that TSA = 5400 cm²]

⇒ (side)² = 5400/6

⇒ (side)² = 900

⇒ side = √900

⇒ side = 30

Now we know side = 30 cm.

Let side = s.

So, to find surface area of all vertical faces of the cube, we need to add front side area, back side area, left side area and right side area of the cube.

∴, Surface area (SA) = (Area of front face) + (Area of back face) + (Area of left face) + (Area of right face)

⇒ SA = s² + s² + s² + s² = 4s²

⇒ SA = 4 (30)²

⇒ SA = 3600

Thus, surface area of all vertical faces of the cube is 3600 cm².