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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 7/
  4. Unit 4/
  5. Volume & Surface Area
Grade 7 · Unit 4Topic 4 of 4~20 min

Volume & Surface Area

Find how much space a solid fills and the total area of its faces.

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 vs. surface area

Volume measures the space inside a 3-D figure (cubic units). Surface area is the total area of all the faces (square units).

Prisms

  1. 1Volume of any prism = area of the base × height.
  2. 2Surface area = the sum of the areas of every face (use a net to keep track).
Worked example

Find the volume of a box 4 cm × 3 cm × 2 cm.

  1. →Base area = 4 × 3 = 12 cm².
  2. →Volume = base × height = 12 × 2 = 24 cm³.
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, 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.

Khan Academy

Volume & surface area

Open resource
Math Worksheets 4 Kids

Volume worksheets

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

Quick check

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

Volume & Surface Area

Question 1 of 2

Easy

A rectangular prism is 5 × 2 × 3. What is its volume?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 3 of 4Circumference & Area of Circles→Finished the unit?Back to Unit 4