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  1. Home/
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  3. Unit 5
Unit 5~60 min3 lessons · 11 videosGADOE framework↗

Geometry — Area & Volume

Compute area, surface area, and volume — and apply them to real measurement problems.

Start with lessons →Jump to videosTake the quiz

Study guide

Unit 5: Geometry — Area & Volume

Your progress

0 of 6 done0%

On this page

  • Written lessons
  • Objectives & vocabulary
  • Video walkthroughs
  • Worksheets
  • Extra practice
  • Unit quiz
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Written lessons

Quick read-throughs in plain language — then hit the videos below.

Rectangle: length × width. Triangle: ½ × base × height. The height must be straight up, not slanted.

Parallelogram: base × height. Trapezoid: average the two parallel sides, then × height.

Try it

Triangle with base 10 cm and height 6 cm — what's the area?

Goals

Learning objectives

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

  • ✓Find area of triangles, parallelograms, trapezoids, and composite figures
  • ✓Build surface area from nets
  • ✓Find volume of rectangular prisms with whole-number and fractional edges
  • ✓Solve word problems with volume and surface area
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthroughs

Each video covers one topic from this unit — read the short blurb below to find the right one.

Math Antics

Introduction to Area

What area measures and how square units work.

Watch on YouTube
Khan Academy

Area of a Parallelogram

Use base × height to find parallelogram area.

Watch on YouTube
Khan Academy

Area of Composite Shapes

Split a weird shape into rectangles and triangles.

Watch on YouTube
Math with Mr. J

Area of a Composite Figure

Step-by-step practice with combined shapes.

Watch on YouTube
Other

Surface Area Using Nets

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

Watch on YouTube
Khan Academy

Surface Area Using Nets

Another walk-through of finding surface area from nets.

Watch on YouTube
Math Antics

Volume

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

Watch on YouTube
Khan Academy

Volume of a Rectangular Prism

Multiply length × width × height to find volume.

Watch on YouTube
Khan Academy

Volume & Surface Area Word Problems

Apply area, surface area, and volume to real situations.

Watch on YouTube
Mario's Math Tutoring

Surface Area & Volume Review

Quick review of the key formulas from this unit.

Watch on YouTube
Khan Academy

Volume Word Problem: Water Tank

Find how much water a tank holds using volume.

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

Practice worksheets

Adam's curated problem sets — preview here or open in Google Drive.

Worksheet — Area & volume

Mixed practice for the unit.

Open in DriveDownload
More practice

External resources

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

Khan Academy

Grade 6 geometry practice

Open resource
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Step 4 · Check

Unit 5 quiz

A few quick questions to make sure the big ideas stuck. Retake as many times as you want.

Unit 5: Geometry — Area & Volume

Question 1 of 3

Easy

What is the area of a triangle with base 10 cm and height 6 cm?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Unit 4Equations & Inequalities→Next up · Unit 6Statistics & Data Analysis