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Section: G.5.6

Use volume formulas to solve problems

• Solve real-world and mathematical situations involving volume and surface area.
• Solve volume problems involving the calculation of density.

In this unit students give more sophisticated, although still informal, arguments for the circumference, area, and volume formulas that they learned in earlier grades. These arguments rely on dissections, informal limits, and Cavalieri’s Principle. After giving arguments for the volume formulas, students use these formulas in solving a variety of modeling problems, including problems that involve density.

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Tasks

1 Doctor's Appointment

2 Volume Estimation

3 Indiana Jones and the Golden Statue

4 Archimedes and the King's crown