A cuboid has volume 1989 cm^3 with length 17 cm and breadth 13 cm. Find the height of the cuboid (in centimetres).

Introduction / Context:
Volume of a cuboid equals the product of its three mutually perpendicular edges. Given two edges and the volume, the remaining edge is found by simple division. This reinforces dimensional reasoning and correct unit arithmetic.

Given Data / Assumptions:

• V = 1989 cm^3.
• l = 17 cm, b = 13 cm.
• V = l * b * h.

Concept / Approach:
Rearrange h = V / (l * b). Compute the product of the known sides first, then divide the volume to get an integer height.

Step-by-Step Solution:
l * b = 17 * 13 = 221h = 1989 / 221 = 9 cm

Verification / Alternative check:
Check: 17 * 13 * 9 = 221 * 9 = 1989 cm^3, which matches the given volume exactly.

Why Other Options Are Wrong:
4, 7, and 14 cm would produce volumes 884, 1547, and 3094 cm^3 respectively with l = 17 and b = 13, none equal to 1989.

Common Pitfalls:
Arithmetic slip on 17 * 13; dividing by only one dimension; or mismatching units.

Final Answer:
9 cm