Geometry Puzzle – Challenge 70
A great Math puzzle to help students develop critical thinking and logic skills in a fun way. Let's challenge your brain!
A cubical block of wood weighs 5 kilograms. How much will another cube of the same wood weigh if its sides are three times as long?
The Absolute Best Book to challenge your Smart Student!
The correct answer is E.
Weight is proportional to volume.
Volume of a cube = (one side)\(^3\)
Let x be the side of the first cube. So:
Volume \(= x^3\)
The sides of the second cube are three times as long. So:
Volume \(= (3x)^3 = 27x^3\)
The ratio of the volumes of the old and new cubes will be 1: 27. So, if the first weighs 5 kilograms, the second weighs 27 × 5 kilograms =135 kilogram.
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