Final answer:
The height of the pyramid is 18cm
Step-by-step explanation:
The volume of a pyramid can be calculated using the formula V = 1/3 * base area * height.
Since the base of the pyramid is a rectangle with a width of 6cm and a length of 8cm, the base area is 6cm * 8cm = 48cm².
Substituting the given volume (288cm³) and the base area into the formula, we get 288cm³ = 1/3 * 48cm² * height.
Solving for height, we divide both sides of the equation by 1/3 * 48cm²: height = 288cm³ / (1/3 * 48cm²) = 18cm.