A cube: blocks inside and squares outside
Volume counts unit cubes in three directions. Surface area adds six identical square faces.
| Relation | Meaning |
|---|---|
| V = a³ | Volume multiplies three equal dimensions. |
| S = 6a² | The surface contains six squares. |
| a = 3: V = 27 cm³; S = 54 cm² | One edge length gives two different quantities. |
One worked example
- V = a³Volume multiplies three equal dimensions.
- S = 6a²The surface contains six squares.
- a = 3: V = 27 cm³; S = 54 cm²One edge length gives two different quantities.
Watch out: Volume uses cubic units; surface area uses square units. All cube edges are equal.
Goal, prerequisites and card origin
What you will learn: Distinguish a cube's volume and surface area.
What you need first: Square area and multiplication.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
Volume counts unit cubes in three directions. Surface area adds six identical square faces.