Space Diagonals - Concept

Concept (1)

The Pythagorean theorem is useful when we need to find the length of a space diagonal in a rectangular prism. The space diagonal is the diagonal passing through the space between vertices, instead of the bases or lateral faces. In other words, it is the diagonal that joins two opposing vertices in the prism, or the two vertices that don't share a face with each other.

Sample Problems (2)

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Space Diagonals - Problem 1

Problem 1

How to find the length of the longest object that will fit inside a box.
Space Diagonals - Problem 2

Problem 2

How to find the space diagonal of a rectangular prism using the Pythagorean Theorem.