Discussion

Explanation:

Let the side of the square base AB = BC = CD = DA = ‘a’.

Height OB = 13.

​​​​​​​

Volume of a square base pyramid = a2 × h/3 = 200 cm3

⇒ a2 = 600/13

Diagonal AC = a√2

⇒ AB = a/√2

In right ∆OAB, AO2 = AB2 + OB2

⇒ AO2 = (a/√2)2 + 132

⇒ AO2 = a2/2 + 169

⇒ AO2 = 300/13 + 169 = 2497/13

⇒ AO ≈ 13.86

Thus, the length of the slant slope (when rounded to the nearest integer) = 14 cm

Hence, option (c).

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