Math, asked by prajtibha6, 6 months ago

TSA of cube is 216 cm² find diagonal​

Answers

Answered by stutitilaakpal90
2

Answer:

Total surface area = 216 cm²

Let the side of the cube = a  

Thus 6a² = 216

⇒ a² = 216/6

⇒ a² = 36

⇒ a = √36  

⇒ a = 6 cm

Volume = a³ cm³ = 6³ cm³ = 216 cm³

Step-by-step explanation:

Answered by kkb99
1

Step-by-step explanation:

we know that the total surface area of a cube is 6 times its length squared

let 'a' represent the side of the given cube

therefore, 6a²=216

a²=36

a=6

in a cube, the diagonal can be represented as √3a

therefore, the diagonal of the given cube is 6√3 times the side of the cube

I.e 6√3a

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