how do you find the surface area of a cube

how do you find the surface area of a cube

3 hours ago 4
Nature

To find the surface area of a cube, you use the fact that a cube has six identical square faces. The surface area is the total area of all these faces combined. Steps:

  1. Measure the length of one edge of the cube (let's call it sss).
  2. Calculate the area of one square face: s×s=s2s\times s=s^2s×s=s2.
  3. Multiply the area of one face by 6 (since there are 6 faces on a cube).

Formula:

Surface Area=6×s2\text{Surface Area}=6\times s^2Surface Area=6×s2

For example, if the edge length is 11 mm, the surface area is:

6×112=6×121=726 mm26\times 11^2=6\times 121=726\text{ mm}^26×112=6×121=726 mm2

This formula works for any cube as long as you know the length of one side

. If you only know the volume VVV of the cube, you can first find the side length by taking the cube root:

s=V3s=\sqrt[3]{V}s=3V​

Then use the surface area formula above with this sss

. Summary:

  • Find one edge length sss.
  • Square it to get one face area.
  • Multiply by 6 for total surface area.

This gives you the total surface area of the cube in square units.

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