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3D Trigonometry Worksheets

Free printable 3d trigonometry worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from space diagonal of a rectangular box at the easy level through to slant edge / slant height of a square-based pyramid at the advanced level.

CCSS.HSG.SRT

Difficulty Levels

Beginner

Concepts
Space diagonal of a rectangular box
Number Range
Clean triples (integer diagonal)
Steps
3 steps
Example
l=3, w=4, h=12 β†’ d=13

Easy

Concepts
Space diagonal with decimal answer
Number Range
Sides 2–10, round to 2 dp
Steps
3 steps
Example
l=4, w=5, h=6 β†’ dβ‰ˆ8.77

Medium

Concepts
Angle between space diagonal and base
Number Range
Clean box triples
Steps
4 steps
Example
Box 3Γ—4Γ—12: ΞΈ=tan⁻¹(12/5)β‰ˆ67.4Β°

Hard

Concepts
Slant edge / slant height of a square-based pyramid
Number Range
Base 4–12, height 3–12
Steps
4 steps
Example
base=6, h=4 β†’ slant edge β‰ˆ 5.83

Try a Sample Problem

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Practice online β†’ Interactive 3d trigonometry problems with instant feedback.