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how do you find the surface area of a cube

To find the surface area of a cube, multiply 6 by the square of the side length: Surface area=6a2\text{Surface area}=6a^{2}Surface area=6a2, where aaa is the length of one edge.

Quick Scoop

  • A cube has 6 equal square faces.
  • The area of 1 face is a2a^{2}a2 (because it’s a square with side aaa).
  • Total surface area = area of all 6 faces = 6a26a^{2}6a2.

Step‑by‑step example

  1. Suppose each side of the cube is 4 cm.
  2. Square the side: 42=164^{2}=1642=16.
  3. Multiply by 6: 6×16=966\times 16=966×16=96.
  4. So the surface area is 96 cm².

Tiny memory trick

  • Think: “6 faces, each face is a square” → 6 × (side²) → 6a26a^{2}6a2.

HTML table version

html

<table>
  <tr>
    <th>Item</th>
    <th>Explanation</th>
  </tr>
  <tr>
    <td>Shape</td>
    <td>Cube (6 equal square faces)</td>
  </tr>
  <tr>
    <td>Side length</td>
    <td>a (length of one edge)</td>
  </tr>
  <tr>
    <td>Area of one face</td>
    <td>a²</td>
  </tr>
  <tr>
    <td>Number of faces</td>
    <td>6</td>
  </tr>
  <tr>
    <td>Surface area formula</td>
    <td>6a²</td>
  </tr>
  <tr>
    <td>Example (a = 4 cm)</td>
    <td>Surface area = 6 × 4² = 96 cm²</td>
  </tr>
</table>

In forum discussions and homework help threads, you’ll almost always see people jump straight to “SA = 6a²” and then plug in the side length, just like the example above.

TL;DR: Use 6a26a^{2}6a2, square the side, then multiply by 6.