Leave lesson

Geometry & measures · Perimeter, area & volume

Chapter 1 · 3

The idea

Plans and elevations (views of 3D solids)

Draw a 3D solid as three flat views: the plan from above, the front elevation and the side elevation. Draw each one square-on and true to size, use the lengths the views share (and the volume) to draw a missing view, see why a sloping face looks shorter than it is, record a model of cubes as a plan with numbers, explain the mistake in a wrong view, and work out the greatest and least number of cubes that two views allow.

A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.

In this lesson — start anywhere

Geometry & measures · Perimeter, area & volume

Plans and elevations (views of 3D solids)

Draw a 3D solid as three flat views: the plan from above, the front elevation and the side elevation. Draw each one square-on and true to size, use the lengths the views share (and the volume) to draw a missing view, see why a sloping face looks shorter than it is, record a model of cubes as a plan with numbers, explain the mistake in a wrong view, and work out the greatest and least number of cubes that two views allow.

Why it works

One drawing hides things

Leo is designing a skate park. He builds a model from 99 centimetre cubes and sends his friend Ava this drawing of it.frontsideAva counts the cubes she can see and gets 88. The ninth cube is hidden behind the tall block. A single 3D drawing always hides something, so architects and builders draw a solid as three flat views, each one looked at straight on:
  • the plan, the view from directly above;
  • the front elevation, the view from the front;
  • the side elevation, the view from the side.

Keep reading — free

The rest of the explanation, plus 4 worked examples you step through move by move.

Start free

Takes a minute — no card.