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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Grade 8 · Unit 7~44 min2 topics · 3 videos

Pythagorean Theorem & Volume

Apply what you know about exponents and roots to geometry. You'll use the Pythagorean theorem to find missing sides of right triangles and compute the volume of cylinders, cones, and spheres.

Start the first topic →See all topics

Unit menu

Unit 7: Pythagorean Theorem & Volume

Your progress

0 of 2 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice

Unit menu

Unit 7: Pythagorean Theorem & Volume

Your progress

0 of 2 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Work through these

Topics in this unit

Each topic is a short page: read the walkthrough, watch the video, try the practice, then take a quick quiz. Go in order or jump to what you need.

1
The Pythagorean Theorem

For a right triangle, a² + b² = c².

  • 2 videos
  • Practice
  • 2-question quiz
  • ~22 min
2
Volume of Cylinders, Cones & Spheres

Apply the three key volume formulas with π.

  • 1 video
  • Practice
  • 2-question quiz
  • ~22 min
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Use the Pythagorean theorem to find a missing side of a right triangle.
  • ✓Determine whether a triangle is a right triangle.
  • ✓Find the volume of cylinders, cones, and spheres.
  • ✓Solve real-world problems with these formulas.

Key vocabulary

Hypotenuse
The longest side of a right triangle, opposite the right angle.
Legs
The two shorter sides of a right triangle that form the right angle.
Cylinder
A solid with two circular bases; volume V = πr²h.
Sphere
A perfectly round solid; volume V = (4/3)πr³.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Grade 8 geometry practice

Open resource
Math Worksheets 4 Kids

Pythagorean theorem worksheets

Open resource
Math Worksheets 4 Kids

Volume worksheets

Open resource
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
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