Area, Surface Area & Volume

Connect two-dimensional formulae to three-dimensional solids, resize shapes and see every calculation update.

Curriculum rangeYears 7–11

Square

Hover or tap a side (all 4 are equal)

P = 4a

A = a^2

Example: a = 5 → P = 20, A = 25

Learning notes

Area, Surface Area & Volume essentials

Keep these rules beside you while you explore and practise.

Perimeter is a length, area covers a surface, and volume fills a three-dimensional space.

P:\text{ units}\quad A:\text{ units}^2\quad V:\text{ units}^3

Every prism has a constant cross-section.

V=\text{cross-sectional area}\times\text{length}

Find the area of every outside face and add them. A net can help you avoid missing a face.

A=\dfrac{\theta}{360^\circ}\pi r^2\qquad L=\dfrac{\theta}{360^\circ}2\pi r

💡Always include units: cm for perimeter, cm² for area and cm³ for volume.