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Grade 5 · Mathematics · 25 minutes

Volume of a box

Sketch a 4-by-3 base made of unit cubes. A rectangular prism contains layers of unit cubes.

Mr. S Teaches · Starter mini-lesson · elem-5-volume-of-a-box

Learning objective

Explain and practice volume of a box using the activity and evidence, then show the reasoning behind an answer.

Gather your materials

  • Paper and pencil
  • Counters, blocks or paper pieces
  • A ruler, clock model or grid when named in the steps

Use the items named in the teaching steps; paper models or adult-prepared photographs can replace physical equipment.

Common Core skill focus

5.MD.C.5

Use multiplication and addition to reason about rectangular-prism volume.

Read the official standard ↗

Code and grade verified 2026-11-03. This mini-lesson addresses a selected skill, not the entire standard.

Teach it step by step

  1. Sketch a 4-by-3 base made of unit cubes.
  2. Count 12 cubes in one layer.
  3. Stack two identical layers.
  4. Connect the model to length × width × height.

Watch, notice, discuss

Video choices for this lesson

2 choices

Preview a video, then choose what fits your learners. “Show to class” opens a larger view; use the player’s play and full-screen controls when you’re ready.

Teacher preview needed. Check the language, level and length before showing. YouTube may show ads or related videos.

After watching

Build or sketch a rectangular prism in layers. Explain how the unit cubes relate to its volume.

An external player loads only after you choose Preview or Show to class. Playback connects to YouTube. Videos belong to their creators; availability and embedding can change.

Make the thinking visible

Example to work through together

4 × 3 × 2 = 24 cubic units. Each of the two layers contains 12 unit cubes.

Try the starter activity

Sketch a box 4 units long, 3 wide, and 2 high.

Student practice

Find the volume of a rectangular prism 5 units long, 2 wide and 3 high.

Quick check for understanding

What is its volume?

Sample answer and teacher guidance

Sample answer: 24 cubic units.

Listen or look for: 30 cubic units; 10 cubes per layer × 3 layers.

Invite the learner to explain, demonstrate, draw or dictate their reasoning. Revisit a teaching step when the explanation is unclear.

Make it work for your learner

A little more support

Build one layer physically before stacking the second.

An additional challenge

Design two different rectangular prisms with volume 24 cubic units.