Views and Nets of 3D Objects

Flatten a 3D shape, and every face becomes visible at once.

▶ Practice this concept

🧱 See It

A view is what a 3D object looks like from one specific direction — the top view, the front view, or a side view. You only ever see the faces pointing toward you.

A net is the exact same object unfolded completely flat — like slicing along the edges of a cardboard box and pressing it flat. Every single face becomes visible at once, in one flat picture.

✏️ Draw It

Here's a real 3D box:

length height width

The same box, real and solid — front, top, and side faces all visible at once, but the back three faces are still hidden.

Now unfold that same box completely flat. Every one of its 6 faces is a rectangle, and every face is now visible:

Top Left Front Right Back Bottom

Same box, unfolded flat — all 6 faces visible at once, each one labeled.

🔢 Write It

A net's total area — every face added together — IS the object's surface area. That's not a coincidence or a shortcut; it's the direct definition of surface area.

A rectangular prism always has exactly 6 faces, 12 edges, and 8 vertices (corners).

💡 Worked Examples

Example 1 — A cube's net: 6 identical square faces, each 3 cm × 3 cm

  1. One face's area: 3 × 3 = 9 cm²
  2. There are 6 identical faces in the net
  3. Total surface area: 6 × 9 = 54 cm²
  4. Answer: surface area = 54 cm²

Example 2 — Matching face pairs in a rectangular prism's net:

  1. Top and Bottom — congruent (identical) pair
  2. Left and Right — congruent pair
  3. Front and Back — congruent pair
  4. Answer: 3 matching pairs, 6 faces total

🧠 Quick Reference

A net is a 3D shape unfolded flat — every face becomes visible and flat at once. Adding up every face's area in the net gives you the object's surface area directly. A rectangular prism always has exactly 6 faces — miscounting (forgetting the top or bottom) is the most common mistake.
👪 For Parents & Tutors

BC Curriculum (Level 3 / Grade 8, Geometry & Measurement): "Construct, interpret, and visualize 3D objects using views and nets."

Watch for: forgetting a face when unfolding or drawing a net. A rectangular prism has SIX faces, and it's very easy to draw only the four "obviously visible" ones (front, back, left, right) and forget the top and bottom entirely, since they don't show up in a typical front-on view. Recommend physically counting faces — touching each one on a real box — before considering a net complete.

Comes up again: this directly sets up Surface Area of Prisms, where the net's face count becomes the calculation itself — every face in the net gets its area found and added in.