Free Printable WorksheetMathGeometryMath CurriculumG-MG.A.2-3

GEO.164 Density, mass, and volume in geometric modeling Worksheet

Download our free printable Geometry Math worksheet on GEO.164 Density, mass, and volume in geometric modeling. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Density, mass, and volume in geometric modeling Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.164 Density, mass, and volume in geometric modeling. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.164 Density, mass, and volume in geometric modeling - Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.2-3. Skill statement in this prompt cell: Select the correct density relationship and compute mass, volume, or density given the other two quantities. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.164 Density, mass, and volume in geometric modeling skill assessments:

Problem 1Difficulty: Mastery
A designer needs 375 g of foam with density 0.75 g/cm3. Which plan correctly finds the required volume?
AUse V = m/d, so V = 375/0.75 = 500 cm3.
BUse V = md, so V = 375 x 0.75 = 281.25 cm3.
CUse d = V/m, so V = 0.75/375 = 0.002 cm3.
DUse m = V/d, so V = 375 + 0.75 = 375.75 cm3.
Solution & Explanation:To find volume from mass and density, use V = m/d. The required volume is 375 / 0.75 = 500 cm3.
Problem 2Difficulty: Mastery
An oblique prism has base area 45 cm2 and height 7 cm. Its mass is 945 g. What is its density?
A2 g/cm3
B3 g/cm3
C7 g/cm3
D21 g/cm3
Solution & Explanation:The volume of any prism is base area times height, so V = 45 x 7 = 315 cm3. Density is 945 / 315 = 3 g/cm3.
Problem 3Difficulty: Mastery
A cone and a cylinder have the same radius, height, and density. How does the cone's mass compare with the cylinder's mass?
AThe cone has one-third of the cylinder's mass.
BThe cone has the same mass as the cylinder.
CThe cone has three times the cylinder's mass.
DThe cone's mass cannot be compared because density is the same.
Solution & Explanation:The cone volume is one-third of the cylinder volume when radius and height are the same. With the same density, mass is also one-third.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.164 Density, mass, and volume in geometric modeling worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this GEO.164 Density, mass, and volume in geometric modeling worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice GEO.164 Density, mass, and volume in geometric modeling online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.164 Density, mass, and volume in geometric modeling interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-MG.A.2-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-MG.A.2-3. Skill statement in this prompt cell: Select the correct density relationship and compute mass, volume, or density given the other two quantities. Associated standards listed with this skill in the curriculum source: CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3; CCSS SMP.2; NY HS MP; MA SMP; TEKS Process. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Geometry Math Resources

Continue learning with complementary skill worksheets and online practice