NY State Math Geometry Geometric Measurement & Dimensions. Practice it free.

Per the NYSED Geometry Educator Guide blueprint, Geometric Measurement & Dimensions (G-GMD) is 2%–8% of credit, covering volume formulas and relationships between two- and three-dimensional objects. This Geometry reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

GeometryG-GMD2 mapped skills
What the test measures

Geometric Measurement & Dimensions skills

  1. Explain volume formulas and use them to solve problems

  2. Visualize relationships between two-dimensional and three-dimensional objects

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Practice by skill

Topics mapped to this domain

Surface area and volume

Grade 1015 questions

Volume word problems (ACT)

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a cone with radius 22 and height 99. Use π=3\pi = 3.

V=13πr2h=13×3×4×9=36V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 4 \times 9 = 36.

Practice playmedium

A traffic cone is shaped like a right circular cone with a base diameter of 1010 inches and a height of 1212 inches. What is the volume of the cone, in cubic inches?

The radius is 55 inches. V=13πr2h=13π(5)2(12)=100πV = \dfrac{1}{3}\pi r^{2} h = \dfrac{1}{3}\pi (5)^{2}(12) = 100\pi cubic inches.

Practice playeasy

Find the volume of a cylinder with radius 22 and height 44. Use π=3\pi = 3.

V=πr2h=3×4×4=48V = \pi r^2 h = 3 \times 4 \times 4 = 48.

Practice playmedium

A cylindrical rain barrel has an inside radius of 33 feet. After a storm, the water level rises 44 inches. What is the volume of the added water, in cubic feet?

Convert 44 inches to 13\dfrac{1}{3} foot. V=πr2h=π(3)2(13)=3πV = \pi r^{2} h = \pi (3)^{2}\left(\dfrac{1}{3}\right) = 3\pi cubic feet.

Practice playeasy

Find the surface area of a sphere with radius 11. Use π=3\pi = 3.

SA=4πr2=4×3×1=12SA = 4 \pi r^{2} = 4 \times 3 \times 1 = 12.

Practice playhard

A concrete drainage pipe is a hollow right circular cylinder. The outer radius is r1=6r_1 = 6 meters, the inner radius is r2=4r_2 = 4 meters, and the pipe is 55 meters long. What is the volume of concrete in the pipe wall, in cubic meters?

Wall volume is outer minus inner: V=πh(r12−r22)=π(5)(62−42)=π(5)(20)=100πV = \pi h(r_1^{2} - r_2^{2}) = \pi (5)(6^{2} - 4^{2}) = \pi (5)(20) = 100\pi cubic meters.

Practice playeasy

Find the volume of a cylinder with radius 11 and height 1010. Use π=3\pi = 3.

V=πr2h=3×1×10=30V = \pi r^2 h = 3 \times 1 \times 10 = 30.

Practice playeasy

A storage shed is shaped like a rectangular prism that is 1212 feet long, 88 feet wide, and 55 feet tall. What is the volume of the shed's interior, in cubic feet?

For a rectangular prism, V=ℓwh=12×8×5=480V = \ell w h = 12 \times 8 \times 5 = 480 cubic feet.

Keep practicing

Turn geometric measurement & dimensions into game time.

The NY State Math placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
7.G.B.6HSG.GMD.A.3
Source and test overview
All NY State Math prepOfficial test source
Reporting categories

More Geometry domains

CongruencePer the NYSED Geometry Educator Guide blueprint, Congruence (G-CO) is 27%–34% of credit, covering transformations in the plane, congruence in terms of rigid motions, geometric theorems, and constructions.8 QsPractice →Similarity, Right Triangles, & TrigonometryPer the NYSED Geometry Educator Guide blueprint, Similarity, Right Triangles, & Trigonometry (G-SRT) is 29%–37% of credit, covering similarity transformations, theorems involving similarity, right-triangle trigonometry, and trigonometry of general triangles.8 QsPractice →CirclesPer the NYSED Geometry Educator Guide blueprint, Circles (G-C) is 2%–8% of credit, covering theorems about circles and arc lengths and areas of sectors.8 QsPractice →Expressing Geometric Properties with EquationsPer the NYSED Geometry Educator Guide blueprint, Expressing Geometric Properties with Equations (G-GPE) is 12%–18% of credit, covering conic-section equations and coordinate proofs.8 QsPractice →Modeling with GeometryPer the NYSED Geometry Educator Guide blueprint, Modeling with Geometry (G-MG) is 8%–15% of credit, applying geometric concepts in modeling situations.8 QsPractice →