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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
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  3. Unit 7
Unit 7~50 min3 lessons · 10 videosGADOE framework↗

Geometry in Action — Surface Area & Volume

Apply geometry to packaging, water tanks, and design — a culminating unit that revisits the year's measurement ideas.

Start with lessons →Jump to videosTake the quiz

Study guide

Unit 7: Geometry in Action — Surface 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.

Triangle area: ½ × base × height. Split any polygon into triangles and rectangles you know.

Pick a base, then find the height that goes straight down from it.

Try it

A hexagon splits into 6 triangles, each area 12 cm². Total area?

Goals

Learning objectives

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

  • ✓Compute area of triangles, polygons, and composite figures
  • ✓Calculate surface area using nets
  • ✓Compute volume of rectangular prisms (whole and fractional dimensions)
  • ✓Solve multi-step measurement word problems
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

Area of Triangles

Use ½ × base × height to find triangle area.

Watch on YouTube
Math Antics

Area of Polygons

Find area of shapes with more than four sides.

Watch on YouTube
Math with Mr. J

Area of Composite Figures

Break a complex shape into simpler pieces.

Watch on YouTube
Khan Academy

Area of Composite Shapes

Add areas of rectangles and triangles together.

Watch on YouTube
Khan Academy

Surface Area

Total area of all faces on a 3-D object.

Watch on YouTube
Math with Mr. J

Surface Area Using Nets

Unfold a prism and add up each flat face.

Watch on YouTube
Khan Academy

Volume of Rectangular Prisms

Length × width × height for box-shaped objects.

Watch on YouTube
Math with Mr. J

Volume

Practice finding how much space a solid fills.

Watch on YouTube
Khan Academy

Volume Word Problems

Real-world problems about tanks, boxes, and containers.

Watch on YouTube
MashUp Math

Area & Perimeter Word Problems

Decide whether a problem asks for area or perimeter.

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 — Applied geometry

End-of-year mixed practice.

Open in DriveDownload
More practice

External resources

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

Khan Academy

Geometry practice

Open resource
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Step 4 · Check

Unit 7 quiz

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

Unit 7: Geometry in Action — Surface Area & Volume

Question 1 of 3

Easy

A box has dimensions 2 ft × 3 ft × 5 ft. What is its volume?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Unit 6Statistics & Data Analysis
★You finishedAll seven units