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G-MG.1 Warmup M3-039-A03-V01

Use geometric shapes, measurements, and properties to describe real-world objects.

Choose the measurements needed for the volume or surface area of a sphere, cylinder, cone, prism, or pyramid

Problem

Use the cylinder diagram and standard volume formula to state the measurements needed to calculate the can's volume.

Prompt cylinder: candidate A is a half-base segment, B is the full base width, and C is the vertical span; the required pair is withheld. Open full size
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What this problem is really about

Let the formula determine which measurements matter before reading labels from the diagram. Cylinder volume is circular base area times perpendicular height, so the base measurement must supply a radius, not a full width, and the second measurement must span between the bases. Matching each pictured segment to those roles prevents collecting an unnecessary diameter.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-MG.1
Category
Geometry
Domain
Modeling with Geometry
Objective
Use geometric shapes, measurements, and properties to describe real-world objects.
Problem type
Choose the measurements needed for the volume or surface area of a sphere, cylinder, cone, prism, or pyramid