Solids: cheat sheet

Angles and shapes · The words and methods from the lessons, with an example of each.

A net is a solid unfolded flat. Fold it, or roll a cube over it, to check that every face is covered once. Six squares is not enough.

\text{cube: 6 squares on 6 different faces}

Along x, along y, then up z. The order is always x, y, z; points on the floor have z = 0.

(x, y, z)

A triangular prism has two triangles and three rectangles. The net's area is the surface area.

A = 2 \times \text{triangle} + \text{length} \times (a + b + c)

A view shows what you can see from one side; hidden cubes do not show. The top view with heights shows every cube.

\text{front} = \text{tallest pile in each column}