Free Printable WorksheetMathGrade 8Math Curriculum8.G.C.9

8.136 Solving Multi Step Volume Problems with Composite Solids Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.136 Solving Multi Step Volume Problems with Composite Solids. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.136 Solving Multi-Step Volume Problems with Composite Solids - Which option correctly finds the volume of the composite solid by combining volumes of the parts? (CCSS 8.G.C.9; CCSS 7.G.B.6; CA 8.G.C.9; MA 8.G.C.9)

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

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 8.136 Solving Multi Step Volume Problems with Composite Solids skill assessments:

Problem 1Difficulty: Hard
A visitor-center model has a rectangular prism base 20 cm by 12 cm by 5 cm, a half-cylinder roof of radius 6 cm and length 20 cm, a cylindrical skylight of radius 2 cm and height 9 cm on top, and a cylindrical ventilation tube of radius 1 cm drilled through the full 20 cm length. Which setup correctly finds the volume? Use 3.14 for pi.
A(20 x 12 x 5) + (1/2 x 3.14 x 62 x 20) + (3.14 x 22 x 9) - (3.14 x 12 x 20)
B(20 x 12 x 5) + (3.14 x 62 x 20) + (3.14 x 22 x 9) - (3.14 x 12 x 20)
C(20 x 12 x 5) + (1/2 x 3.14 x 62 x 20) - (3.14 x 22 x 9) - (3.14 x 12 x 20)
D(20 x 12 x 5) - (1/2 x 3.14 x 62 x 20) + (3.14 x 22 x 9) - (3.14 x 12 x 20)
Solution & Explanation:Break the solid into the stated parts and add or subtract the correct formulas.
Problem 2Difficulty: Hard
A builder is choosing among four centerpieces. Which choice has the greatest volume? Use 3.14 for pi.
AA prism 14 cm by 10 cm by 5 cm with a cone on top of radius 4 cm and height 9 cm
BA prism 14 cm by 10 cm by 5 cm with a cylinder on top of radius 3 cm and height 8 cm
CA capsule with radius 4 cm and cylinder height 12 cm
DA cylinder of radius 4 cm and height 9 cm with a hemisphere on top
Solution & Explanation:Compute the volume of each composite solid and compare the totals.
Problem 3Difficulty: Hard
A model has a rectangular prism base 24 cm by 14 cm by 7 cm, a half-cylinder roof with radius 7 cm and length 24 cm, and a cylindrical chimney with radius 2 cm and height 10 cm. What is the total volume, in cm3? Use 3.14 for pi and round to the nearest hundredth if needed.
Solution & Explanation:Add the prism volume 2352, the roof volume 1846.32, and the chimney volume 125.6. Total = 4323.92 cm3.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.G.C.9 (Primary standard selected for prompt fields: CCSS 8.G.C.9. Skill statement: Which option correctly finds the volume of the composite solid by combining volumes of the parts? Associated standards listed with this skill: CCSS 8.G.C.9; CCSS 7.G.B.6; CA 8.G.C.9; MA 8.G.C.9. Use this embedded wording as the best available supporting standard description for this workflow.).

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