the total area of all the faces of a rectangular solid is 22\text{cm}^222cm 2 , and the total length of all its edges is 24\text{cm}24cm. then the length in cm of any one of its interior diagonals is

Respuesta :

The length in cm of any one of its interior diagonals is √14 D.

  • Let the period, width, and peak of a square prism are L,B, and H respectively.
  • Also for the reason that the overall vicinity of all of the faces of a square prism is 22 and the overall period of all its edges is 24.
  • 2(LB+BH+HL)=22LB+BH+HL=11−−−−−−−−(1)And
  • L+B+H=24−−−−−(2)From the given records we're capable of shape most effective equations even as we've got 3 variables so we require one greater equation withinside the equal variables.
  • For inner diagonal, we require all 3 dimensions of the square prism.
  • So the given records is insufficient or incomplete to discover the cost of the inner diagonal is √14 D.

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