Free Printable WorksheetMathGrade 5Math Curriculum5.MD.C.7

5.119 Solve Multi Step Word Problems Involving Volume Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.119 Solve Multi Step Word Problems Involving Volume. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct answer for a multi-step volume problem, including correct units. Select the diagram or computation that correctly applies the formula with labeled units. Corresponding standards: CCSS 5.MD.C.7.

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 5

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 5.119 Solve Multi Step Word Problems Involving Volume skill assessments:

Problem 1Difficulty: Mastery
Which computation gives the total volume and correct units for a playground storage design with one 20-foot by 10-foot by 5-foot box, three 6-foot by 5-foot by 4-foot bins, and a 10-foot by 4-foot by 3-foot divider removed?
A20 × 10 × 5 + 3 x (6 × 5 × 4) − 10 × 4 × 3 = 1240 cubic feet
B20 + 10 + 5 + 3 + 6 + 5 + 4 − 10 − 4 − 3 = 31 cubic feet
C20 × 10 × 5 + 6 × 5 × 4 = 1120 cubic feet
D20 × 10 × 5 + 3 x (6 × 5) − 10 × 4 = 1050 square feet
Solution & Explanation:The main box is 20 × 10 × 5 = 1000 cubic feet. Three bins add 3 × 120 = 360. The divider removes 10 × 4 × 3 = 120. Total volume is 1000 + 360 − 120 = 1240 cubic feet.
Problem 2Difficulty: Mastery
A maker space stores blocks in a bin that is 25 inches by 12 inches by 8 inches. The bin contains 16 large cubes that are each 4 inches on every edge and 20 small prisms that are each 3 inches by 2 inches by 5 inches. How many cubic inches of empty space remain?
Solution & Explanation:The bin holds 25 × 12 × 8 = 2400 cubic inches. The large cubes use 16 × 64 = 1024, and the small prisms use 20 × 30 = 600. Empty space is 2400 − 1024 − 600 = 776.
Problem 3Difficulty: Mastery
The planned diagram shows an L-shaped locker wall with a tall section 18 feet by 4 feet by 6 feet, a short section 10 feet by 4 feet by 3 feet, and a top bin 8 feet by 4 feet by 2 feet. A vent space 2 feet by 2 feet by 3 feet is removed. What is the total volume?
A616 cubic feet
B604 cubic feet
C552 cubic feet
D604 square feet
Solution & Explanation:The tall section is 18 × 4 × 6 = 432, the short section is 10 × 4 × 3 = 120, and the top bin is 8 × 4 × 2 = 64. Their total is 616. The vent removes 2 × 2 × 3 = 12, so the volume is 604 cubic feet.

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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 5 Math students. It aligns with educational standard 5.MD.C.7 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.MD.C.7. Skill statement in this prompt cell: Select the correct answer for a multi-step volume problem, including correct units. Select the diagram or computation that correctly applies the formula with labeled units. Associated standards listed with this skill in this prompt cell: CCSS 5.MD.C.7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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