Q3 of 32 Page 115

Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.

Given: side of the cube (s) = 4.5 cm

We know that, cube has equal sides. This means, length = breadth = height.


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(4.5)2


⇒ SA = 81


Also, Total surface area of cube is given by


TSA = 6 (side)2


⇒ TSA = 6 (s)2


⇒ TSA = 6 (4.5)2


⇒ TSA = 121.50


Thus, surface area of all vertical faces of the cube is 81 cm2 and total surface area of the cube is 121.50 cm2.


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