Q. 355.0( 1 Vote )
The length of the diagonal of a cube is 6 √ 3 cm. Its total surface area is
A. 144 cm2
B. 216 cm2
C. 180 cm2
D. 108 cm2
Given: Length of the diagonal of a cube is 6 √ 3 cm.
We know that the Length of a diagonal of a cube is given by: a√ 3 (here ‘a’ is edge length of cube)
∴ a√ 3 = 6√ 3
⇒ a = 6cm
∴ Edge length of the cube is 6cm.
Surface area of a cube is given by: 6a2 (here ‘a’ is the edge length)
Let ‘S’ be the surface area of the given Cube.
∴ S = 6a2
⇒ S = 6 × (6)2
⇒ S = 216 cm2
∴ Surface area of the given cube is 216 cm2
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