---
title: "G.GSR.9: 3D Geometric Formulas (Georgia Mathematics standard)"
code: G.GSR.9
cite_as: Georgia Standards of Excellence, Mathematics, G.GSR.9
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.GSR.9
md_url: https://georgiahomeroom.org/standards/code/G.GSR.9.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.GSR.9.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# G.GSR.9: 3D Geometric Formulas

Develop informal arguments for geometric formulas using dissection arguments, limit arguments, and Cavalieri’s principle; solve realistic problems involving volume; explore and visualize relationships between two-dimensional and three-dimensional objects to model and explain real-life phenomena.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **G.GSR.9.1**: Use volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems including right and oblique solids.
- **G.GSR.9.2**: Use geometric shapes, their measures, and their properties to describe objects and approximate volumes.
- **G.GSR.9.3**: Apply concepts of density based on area and volume in modeling situations.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.