Perimeter & Area

Problem

Find cube edge from net perimeter

A cube's net is drawn in a plus (cross) shape from 6 equal squares. The whole net's outside border measures 210 cm. Since every side of every square is one edge of the cube, I need to find how long one edge of the cube is.
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GeometryMeasurement & data
Your answer
How to solve
Strategy Draw a Diagram — Drawing (or reading) the net lets me trace its outline and count how many square sides make up the border. Once I know the border is 14 edge-lengths long, the problem breaks into one easy subproblem: split 210 cm equally among 14 parts.
1STEP 1

Count the edges on the outline

Tracing the outline, the border is 14 square sides; the inner fold lines are not part of it.

perimeter = 14 × (one edge)
2STEP 2

Share the perimeter equally

All 14 border pieces are the same length, so one edge length is 210 cm split into 14 equal parts.

210 ÷ 14 = 15
Answer
15 cm
Check by multiplying back: 14 edges × 15 cm = 210 cm, which matches the given perimeter. The unit is centimeters (a length), which is correct for an edge.
Takeaway

Count the edges around the outline, then share the perimeter equally among them to find one edge.

  • Count the edges on the outline
  • Share the perimeter equally
Where next?
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