Problem preview

G-MG.1 Warmup M3-039-A02-V03

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

Choose a composite solid under a stated fidelity criterion

Problem

Approximate the external envelope of a sharpened pencil with a long uniform round body and pointed tip, ignoring flats, eraser, and graphite detail. Use the diagram to state the component solids, measurements, join boundary, and omissions.

Answer choices

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Preview only

Rectangular prism + cone; model the uniform round body as a box.

Cylinder + sphere; replace the pointed tip with a rounded end.

Cylinder + cone; use the common radius, body length, and tip height, add at the shared base, and omit flats and end details.

Cylinder only; use its radius and length, omitting the pointed tip.

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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 a composite solid under a stated fidelity criterion