NJSLA Geometry Geometric Measurement and Dimension. Practice it free.

Explain volume formulas and use them to solve problems. 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 and Dimension skills

  1. G.GMD.A.1-3 Circumference, area, volume of cylinders, pyramids, cones, and spheres

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.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a cylinder with radius 33 and height 22. Use π=3\pi = 3.

V=πr2h=3×9×2=54V = \pi r^{2} h = 3 \times 9 \times 2 = 54.

Practice playeasy

A community pool is a rectangular prism 2424 feet long, 1818 feet wide, and 66 feet deep when filled to the planned level. How many cubic feet of water does the pool hold at that level?

V=wh=24×18×6=2,592V = \ell w h = 24 \times 18 \times 6 = 2{,}592 cubic feet.

Practice playeasy

Find the volume of a sphere with radius 22. Use π=3\pi = 3.

V=43πr3=43×3×8=32V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 8 = 32.

Practice playmedium

An ice machine makes spherical ice balls with a diameter of 66 centimeters. What is the volume of one ice ball, in cubic centimeters?

The radius is half the diameter: r=3r = 3 cm. Then V=43πr3=43π(3)3=36πV = \dfrac{4}{3}\pi r^{3} = \dfrac{4}{3}\pi (3)^{3} = 36\pi cubic centimeters.

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.

Keep practicing

Turn geometric measurement and dimension into game time.

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