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CCSS · Measurement & Data

5.MD.C.5Relate volume to multiplication and addition; find volume of right rectangular prisms.

Cluster: Geometric measurement: understand concepts of volume

What this standard asks students to do

5.MD.C.5 is a 5th grade Common Core standard in the Measurement & Data strand. It asks students to: relate volume to multiplication and addition; find volume of right rectangular prisms. Teachers typically address it during the geometric measurement: understand concepts of volume cluster, alongside the related standards listed below. FoxFish generates printable worksheets, auto-graded quizzes, and flashcard sets aligned to this standard in seconds.

Sample questions aligned to 5.MD.C.5

  1. Example 1

    A box is 4 × 5 × 3. Find its volume.

  2. Example 2

    Volume of a 6 × 6 × 2 prism?

  3. Example 3

    Find the volume of a 10 × 3 × 4 fish tank.

Want a full worksheet? Generate 20 problems aligned to 5.MD.C.5.

Common student mistakes

Build distractors and reteach prompts around the errors students actually make on this standard.

  • 1Rushing to an answer without showing the work with pictures or manipulatives — 5th-grade students who skip this stage often can't debug their own errors.
  • 2Mis-identifying what the prompt is actually asking. On 5.MD.C.5, teachers see students latch onto surface keywords and pick the wrong operation.
  • 3Applying a memorized procedure to a case where it doesn't fit — the classic measurement & data trap when problems change form (e.g., A box is 4 × 5 × 3. Find its volume.).
Teacher tip · Have students explain their math reasoning to a partner before writing it down — the talk exposes misconceptions faster than the paper does.

Teacher FAQ

What does 5.MD.C.5 actually ask 5th-grade students to do?

Students are expected to relate volume to multiplication and addition. In the geometric measurement: understand concepts of volume cluster this shows up when they solve problems and explain their reasoning. Full standard text: "Relate volume to multiplication and addition; find volume of right rectangular prisms."

How long should we spend on 5.MD.C.5 in a typical unit?

Plan 5–7 lessons of direct instruction plus ongoing spiral review; students in grades 3–5 usually need multiple exposures across a unit. FoxFish's generator lets you spin up fresh practice each day to keep the reps varied.

What does mastery of 5.MD.C.5 look like on a quick check?

A student who's mastered 5.MD.C.5 can relate volume to multiplication and addition on unfamiliar prompts, not just the exact examples they practiced. Try one item like: "Find the volume of a 10 × 3 × 4 fish tank." — if they explain their reasoning without prompting, they're solid.

Teacher guides for 5.MD.C.5

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