Math, asked by tanushri52, 4 months ago


A cube has a lateral surface area of 576 m². Find the length of the sides of the cube.


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Answers

Answered by manaswaikar96
2

Answer:

864 cm 2

Step-by-step explanation:

Let each side of the cube be a cm. 

Then, the lateral surface area of the cube = 4a2 

∴  4a2 = 576 ⇒ a2 = 576/4 cm2 = 144 cm2  ⇒ a = 12 cm

Volume of the cube = a3 = (12 cm)3 = 1728 cm3 

Total surface area of the cube = 6a2 = 6 x 122 = 864 cm2

Answered by reetatata1984
1

Answer:

12

Step-by-step explanation:

576 = 4( side)^2

576/4 = side^2

144 = side^2

√144 = side

12 = side

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