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Geometry · Chapter 12 · Lesson 12.9 · Printable PDF

Modeling with Solids: Density and Design Worksheet with Answer Key

7 problems on modeling with solids: density and mass, copper wire, a lump of iron, a scaled chess king, a planter box with minimal wood, an inflatable planetarium, a sprinkler circle, and a floating steel drum. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Modeling with solids: density and design worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find the mass of 200 m of copper wire modeled as a cylinder.
  2. Find the edge of a cube and the radius of a ball made from 5 kg of iron.
  3. Find the height and varnish needed for a giant chess king from the small one.
  4. Show the wood needed for a planter box with a fixed soil volume and find the best size.
  5. Find how many fabric rolls cover an inflatable dome.
  6. Find the watered area of a center-pivot sprinkler in hectares and the number of corn plants.
  7. Decide whether a sealed steel drum floats from its average density.

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The free lesson teaches it with worked examples and practice problems.

Modeling with solids: density and design: the lesson ›

More Chapter 12 worksheets: Area and volume