TSA of cube is 216 cm² find diagonal
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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
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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