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To find the diagonal in a cuboid, we use Pythagoras' Theorem in 3 dimensions. If we call the diagonal D, and the 3 dimensions of the cuboid (length, width, height) a, b and c:

D=sqrt(a2+b2+c2)

Example: The cuboid has dimensions of 4, 6 and 8. Find the Diagonal.

D=sqrt(42+62+82)

D=sqrt(16+36+64)

D=sqrt(116)

D=10.8 (3sf)

Diagonal = 10.8 (3sf)

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Q: How do you find the length of a diagonal in a cuboid?
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