Q. 34.5( 19 Votes )

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

Answer :

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 = s^{2} + s^{2} + s^{2} + s^{2} = 4s^{2}

⇒ 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 cm^{2} and total surface area of the cube is 121.50 cm^{2}.

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