Surface area from a net

The question
5135 cm²

Surface area of a 5 × 5 × 13 box

How it works.

5 × 5 × 13 cm
front and back:2 × 5 × 13 =130
front and back:2 × 5 × 13 =130
the two sides:2 × 5 × 13 =130
front and back:2 × 5 × 13 =130
the two sides:2 × 5 × 13 =130
top and bottom:2 × 5 × 5 =50
front and back:2 × 5 × 13 =130
the two sides:2 × 5 × 13 =130
top and bottom:2 × 5 × 5 =50
total:310
  1. 01

    A net lays all six faces out flat. They come in three matching pairs.

  2. 02

    Front and back are 5 by 13, so that pair is 2 × 5 × 13 = 130.

  3. 03

    The two sides are 5 by 13, so that pair is 2 × 5 × 13 = 130.

  4. 04

    Top and bottom are 5 by 5, so that pair is 2 × 5 × 5 = 50.

  5. 05

    Add the three pairs: 130 + 130 + 50 = 310 square cm.