abigelfeleke16
abigelfeleke16 abigelfeleke16
  • 28-06-2020
  • Mathematics
contestada

if the diagonal of a cube is √12 cm, then what is the area of the lateral surface?​

Respuesta :

marybrownie36
marybrownie36 marybrownie36
  • 28-06-2020

Answer:

LSA of the cube = 16 sq units

Step-by-step explanation:

Formula for the diagonal of a cube is a√3

where a is the side of a cube

a√3 = √12

√(3a²) = √12

Squaring on both sides,

3a² = 12

a² = 4

a = 2 units

Lateral Surface area of a cube = 4a²

LSA of the cube

= 4(2)²

= 4(4)

= 16 sq units

LSA of the cube = 16 sq units

Hope this answer helps you ...

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