Math, asked by ronaksahu68891, 5 hours ago

If the total surface of a cube is 1014 cm², find the leteral surface area and main diogonal of the cube

Answers

Answered by piyushsankhala75
1

Answer: Lateral surface area of the cube is 676 cm .

Diagonal of the cube is 22.516 cm

Step-by-step explanation:

Total surface are of cube = 1014 cm²

Also,

total surface area of cube  = 6a²

so,

→ 6a² = 1014 cm²

→ a² = 1014 / 6

→ a² = 169

→ a = √169

→ a = 13 cm         [ ∴ a is the side of the cube ]

Now ,

Lateral surface area of of cube = 4a²

                                                      = 4 ( 13 )²

                                                      = 676 cm²

And,

Diagonal of the cube = √3 ( side )

                                    = √3 ( 13 )

                                    = 22.516 cm

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