To find the length of the diagonal of a rectangular prism with dimensions \( l = 12 , \text{cm} \), \( w = 4 , \text{cm} \), and \( h = 3 , \text{cm} \), we can use the formula for the diagonal \( d \) of a rectangular prism:
\[ d = \sqrt{l^2 + w^2 + h^2} \]
Substituting the values:
\[ d = \sqrt{(12)^2 + (4)^2 + (3)^2} \] \[ = \sqrt{144 + 16 + 9} \] \[ = \sqrt{169} \] \[ = 13 , \text{cm} \]
Thus, the length of the diagonal of the prism is \( 13 , \text{cm} \).
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