NJSLA Algebra I Geometric Measurement and Dimension Practice

What the test measures

Geometric Measurement and Dimension skills

G-GMD.A.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone
G-GMD.A.2 Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures
G-GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

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 cylinder with radius $1$ and height $10$ . Use $\pi = 3$ .

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

Practice playmedium

An ice machine makes spherical ice balls with a diameter of $6$ centimeters. What is the volume of one ice ball, in cubic centimeters?

The radius is half the diameter: $r = 3$ cm. Then $V = \dfrac{4}{3}\pi r^{3} = \dfrac{4}{3}\pi (3)^{3} = 36\pi$ cubic centimeters.

Practice playeasy

Find the volume of a sphere with radius $3$ . Use $\pi = 3$ .

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 27 = 108$ .

Practice playmedium

A traffic cone is shaped like a right circular cone with a base diameter of $10$ inches and a height of $12$ inches. What is the volume of the cone, in cubic inches?

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

Practice playeasy

Find the volume of a cone with radius $3$ and height $5$ . Use $\pi = 3$ .

$V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45$ .

Practice playmedium

A cylindrical rain barrel has an inside radius of $3$ feet. After a storm, the water level rises $4$ inches. What is the volume of the added water, in cubic feet?

Convert $4$ inches to $\dfrac{1}{3}$ foot. $V = \pi r^{2} h = \pi (3)^{2}\left(\dfrac{1}{3}\right) = 3\pi$ cubic feet.

Practice playeasy

Find the volume of a cylinder with radius $3$ and height $2$ . Use $\pi = 3$ .

$V = \pi r^{2} h = 3 \times 9 \times 2 = 54$ .

Practice playhard

A concrete drainage pipe is a hollow right circular cylinder. The outer radius is $r_1 = 6$ meters, the inner radius is $r_2 = 4$ meters, and the pipe is $5$ meters long. What is the volume of concrete in the pipe wall, in cubic meters?