Development of surfaces

Surface development means unfolding a 3D shape flat onto paper to show all its faces. Think of it like opening a carton box—when you unfold it, you see the complete pattern before it's assembled. For pyramids and cones, you unfold the slant faces into a flat shape. With prisms and cylinders, you stretch out the curved or rectangular sides. Frustums (cut-off pyramids) and truncated cones are trickier because they have two different-sized ends that you must show accurately.

A perfect example is how roofing materials are cut in Nigeria. When building a pyramid-shaped roof or cone-shaped water tank, engineers must develop these surfaces first to calculate exact material quantities and cutting patterns. Without proper development, there's wastage and mistakes. Transition pieces connect pipes of different shapes—like moving from a square duct to a circular one—and this requires careful surface development too.