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Free Grade 8 Pythagorean Theorem & 3D Measurement Worksheets
1,169+ Texas TEKS-aligned practice questions on pythagorean theorem & 3d measurement. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for pythagorean theorem & 3d measurement worksheets for Grade 8? This page has 1,169+ TEKS-aligned practice questions on this exact topic. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.
Below: a sample of 8 questions with answers and explanations so you can see what's on the worksheet before you print. Each question has the correct choice marked and a one-line "why" so kids who get it wrong understand the fix.
Find the length of the hypotenuse of a right triangle with legs 7 and 24.
- 24
- 27
- 25 ✓
- 26
Why: c² = a² + b² = 7² + 24² = 49 + 576 = 625. So c = 25.
Find the distance between the points (1, -1) and (13, 15).
- 21
- 19
- 22
- 20 ✓
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(144 + 256) = √400 = 20.
Find the distance between the points (1, -1) and (-8, -41).
- 42
- 43
- 40
- 41 ✓
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(81 + 1600) = √1681 = 41.
Find the distance between the points (2, 3) and (-18, -18).
- 29 ✓
- 31
- 28
- 30
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(400 + 441) = √841 = 29.
Find the distance between the points (-3, -3) and (6, 9).
- 16
- 15 ✓
- 17
- 14
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(81 + 144) = √225 = 15.
Find the distance between the points (3, -1) and (12, 11).
- 16
- 17
- 15 ✓
- 14
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(81 + 144) = √225 = 15.
Find the distance between the points (-1, -3) and (-13, -19).
- 21
- 19
- 22
- 20 ✓
Why: d = √((x₂−x₁)² + (y₂−y₁)²) = √(144 + 256) = √400 = 20.
Find the volume of a cylinder with radius 9 and height 5. Use π = 3.14.
- 1271.7 ✓
- 1272.7
- 1271.6
- 1271.8
Why: V = πr²h = 3.14 × 9² × 5 = 3.14 × 81 × 5 = 1271.7.
Common questions
Are these worksheets really free?
Yes. Free to print, free to practice online. No email, no sign-up, no paywall. We make money from optional paid features (toy redemption with real cents), not from the worksheets.
What TEKS standards does this cover?
This unit aligns to multiple Grade 8 math TEKS standards.
How many total questions are available?
1,169+ questions in our Grade 8 Pythagorean Theorem & 3D Measurement bank. Print as many 20-question worksheets as you like — each one pulls a fresh set so your kid doesn't see the same questions twice.
Where do these questions come from?
Generated by our AI pipeline, then quality-gated by two independent models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to a specific TEKS standard and modeled on real STAAR item shapes.