Determine computationally the value of $k$ for which the pyramid $\mathrm { EFGHS } _ { k }$ completes the solid ABCDEFGH to form a large pyramid $\mathrm { ABCDS } _ { k }$. (for verification: $k = 19$ )
Determine computationally the value of $k$ for which the pyramid $\mathrm { EFGHS } _ { k }$ completes the solid ABCDEFGH to form a large pyramid $\mathrm { ABCDS } _ { k }$.\\
(for verification: $k = 19$ )