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Frage 95

A cuboid measures 8 centimetres by 3 centimetres by 3 centimetres, and a cube has edges of 4 centimetres. Which solid holds more, and for what reason?

  1. The cube, because its edges are all equal and equal edges pack together most tightly.
  2. The cuboid, because 8 times 3 times 3 is 72 while 4 times 4 times 4 is 64.Richtige Antwort
  3. They hold exactly the same, because both are built from 12 edges and 6 faces.
  4. The cube, because its edge of 4 centimetres beats the shortest edge of the cuboid, which is only 3 centimetres.

Erklärung

Comparing how much two solids hold means comparing the products of their three measurements, and 8 times 3 times 3 reaches 72 against the cube's 64. Judging by a single edge is what makes the cube look the roomier of the two, yet the cuboid's extra length more than makes up for its two shorter sides.

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