Free Printable WorksheetScienceGrade 8Science CurriculumPS.8.29

8.29 Calculate Density, Mass and Volume Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Science worksheet provides structured practice on 8.29 Calculate Density, Mass and Volume. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Calculate Density, Mass and Volume - Which option best solve multi‑step problems and justify unit choices when determining density, mass, or volume from two known quantities? (NGSS MS‑PS1‑2; CCSS Math 8.EE; TEKS §112.28 Grade 8; FL NGSSS; VA SOL; MA STE)

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

Grade 8

Subject

Science

Domain

Science 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 8.29 Calculate Density, Mass and Volume skill assessments:

Problem 1Difficulty: Mastery

An aluminum plate has density 2700 kg/m³ and dimensions 200 mm × 30 mm × 15 mm.

Which option correctly finds the mass using kg/m³ and dimensions in millimeters?

AUse mm directly: V = 200×30×15 = 90000 m³; m = 2700×90000 = 243 kg.

BConvert mm to m: 200 mm=0.2 m, 30 mm=0.03 m, 15 mm=0.015 m. Volume = 0.2×0.03×0.015 = 0.00009 m³. Mass = d×V = 2700×0.00009 = 0.243 kg.

CConvert only one dimension: 200 mm→0.2 m, V = 0.2×30×15; m = 2700×V.

DConvert mm to cm instead of m: 200 mm→20.0 cm, etc.; use kg/m³ anyway without converting to m³.

Solution & Explanation:Because density is kg/m³, convert all lengths to meters before finding volume. Then mass = density×volume. Here V = 0.00009 m³, so m = 2700×0.00009 = 0.243 kg.

Problem 2Difficulty: Mastery

A metal bar has density 7850 kg/m³ and dimensions 120 mm × 50 mm × 10 mm. "

Which option correctly finds the mass using kg/m³ and dimensions in millimeters?,A. Use mm directly: V = 120×50×10 = 60000 m³; m = 7850×60000 = 471 kg. | B. Convert mm to m: 120 mm=0.12 m

Solution & Explanation:V = 0.12×50×10; m = 7850×V. | D. Convert mm to cm instead of m: 120 mm→12.0 cm

Problem 3Difficulty: Mastery

A cup has mass 82 g when empty. When filled with 50 mL of a liquid, its mass is 197 g.

Which option correctly finds the liquid’s density and explains the needed subtraction?

AUse filled mass only: d = 197 ÷ 50 = 3.94 g/mL.

BAdd masses: 197+82 = 279 g; d = 5.58 g/mL.

CSubtract to get liquid mass: 197−82 = 115 g. Then d = m ÷ V = 115 g ÷ 50 mL = 2.3 g/mL.

DSubtract volume instead: d = 50 ÷ 115 = 0.435 mL/g.

Solution & Explanation:You need the mass of the liquid only, so subtract the empty container mass: 197−82 = 115 g. Density = mass/volume = 115/50 = 2.3 g/mL.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Science students. It aligns with educational standard PS.8.29 (Use density, mass, and volume relationships to solve science problems.).