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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 5/
  5. Surface Area & Volume
Grade 6 · Unit 5Topic 3 of 3~15 min

Surface Area & Volume

Volume fills the inside; surface area covers the outside.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Volume

Volume is how much space fits inside a 3-D shape, measured in cubic units. For a rectangular prism (a box), volume = length × width × height.

Worked example

Find the volume of a prism with edges 3, 4, and 5 units.

  1. →V = length × width × height.
  2. →V = 3 × 4 × 5 = 60 cubic units.

Surface area

Surface area is the total area of all the faces. Unfold the box into a flat net so you can see and add up every face.

Tip

Area uses square units; volume uses cubic units. The exponent tells you the dimension.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Math Antics

Volume

How much space a 3-D object fills — measured in cubic units.

Watch on YouTube
Khan Academy

Surface Area Using Nets

Unfold a 3-D shape and add up the flat faces.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Worksheet

Worksheet — Area & volume

Mixed practice for area, surface area, and volume.

Open in DriveDownload
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Surface Area & Volume

Question 1 of 3

Easy

Find the volume of a rectangular prism with edges 3, 4, and 5 units.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Composite Figures→Finished the unit?Back to Unit 5