---
title: "6.GSR.5: Area, Surface Area & Volume (Georgia Mathematics standard)"
code: 6.GSR.5
cite_as: Georgia Standards of Excellence, Mathematics, 6.GSR.5
subject: math
grades:
  - grade-6
language: en
canonical_url: https://georgiahomeroom.org/standards/code/6.GSR.5
md_url: https://georgiahomeroom.org/standards/code/6.GSR.5.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/6.GSR.5.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/grade-6.md
index: https://georgiahomeroom.org/standards/index.md
---

# 6.GSR.5: Area, Surface Area & Volume

Solve relevant problems involving area, surface area, and volume.

- Subject: Mathematics
- Appears in: Grade 6, https://georgiahomeroom.org/standards/math/grade-6.md

## Expectations

- **6.GSR.5.1**: Explore area as a measurable attribute of triangles, quadrilaterals, and other polygons conceptually by composing or decomposing into rectangles, triangles, and other shapes. Find the area of these geometric figures to solve problems.
- **6.GSR.5.2**: Given the net of three-dimensional figures with rectangular and triangular faces, determine the surface area of these figures.
- **6.GSR.5.3**: Calculate the volume of right rectangular prisms with fractional edge lengths by applying the formula, V = (area of base) x (height).

## Georgia Milestones coverage

- Mathematics Grade 6 (EOG). Geometric & Spatial Reasoning. Solve relevant problems involving area, surface area, and volume. (about 12% of the test; 7 points)

## What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

- **Beginning**: Given a visual model, find the area of a triangle.
- **Developing**: Given a visual model, find the area of a polygon by composing or decomposing it into rectangles and/or triangles. Given the net of a rectangular prism, determine the surface area of the figure. Given a visual model, calculate the volume of a right rectangular prism with fractional edge lengths.
- **Proficient**: Solve authentic problems involving the areas of polygons composed of rectangles and triangles. Given the net of a three-dimensional figure with rectangular and/or triangular faces, determine the surface area of the figure. Solve authentic problems involving the volumes of right rectangular prisms with fractional edge lengths.
- **Distinguished**: Solve authentic complex or multi-step problems involving the areas of triangles and rectangles and the surface areas and volumes of three-dimensional figures with triangular or rectangular faces.

## The same standard across grades

- **Grade 6, 6.GSR.5 (this standard)**: Solve relevant problems involving area, surface area, and volume.
- Grade 7, 7.GSR.5: Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms. https://georgiahomeroom.org/standards/code/7.GSR.5.md

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