Crate Build: Area, Volume, and Surface Area

Pack & Ship Co. — A Grade 6 Geometry Culminating Lab

Turn the end of your geometry unit into a job your students actually want to finish. In Pack & Ship Co., students step into the role of a builder at a custom-crate workshop, filling a real order from a client named Dana Ruiz. Over five connected, story-driven worksheets, they build a wooden shipping crate from the first cut to the final bill, applying every geometry skill from the Grade 6 unit along the way.

This is not a worksheet packet. It is one continuous job with a carry-forward spine: the crate size students find in the first activity decides the cuts, the cuts decide whether the cargo fits, and the fit and the wrapping decide the final cost. One careless measurement early shows up later as overspending the client's budget, which comes straight out of the builder's pay. The math is never busywork. It always decides something students care about.

Standards covered (full Grade 6 geometry strand):

• 6.G.A.3 — Plotting polygons on the coordinate plane and finding side lengths from coordinates (cutting the crate panels)
• 6.G.A.1 — Area of composite figures by decomposing into rectangles and triangles (cutting the steel reinforcements)
• 6.G.A.2 — Volume with fractional edge lengths, shown by packing with unit cubes (proving the cargo fits)
• 6.G.A.4 — Surface area using nets of rectangles and triangles (wrapping the crate)
• 6.RP and 6.NS — Unit rates and decimal operations (totaling the bill against the client's budget)

Why teachers choose this lab:

• A true capstone. Built to review and connect an entire unit of geometry, not to teach skills in isolation. Students finish having used coordinate geometry, composite area, volume, surface area, and rates in service of one real goal.
• Engagement built in. The storyline, the client, the budget, and the carry-forward consequence keep students invested in getting the math right.
• Auto-graded with live tracking. Answers validate instantly. From your console you can see who has started, who has finished, and who is stuck, in real time.
• Ready to run in about one class period. Each worksheet opens with a short intro that frames the next step, so the storyline carries students forward with no extra prep. Easily split across two shorter sessions.
• Low-stakes and exploratory. Wrong answers pause progress but never erase student work, so students can retry, experiment, and self-correct.

Best for: Grade 6 math classrooms looking for an end-of-unit geometry review, a real-world application project, or a problem-based learning activity that connects area, volume, surface area, and the coordinate plane into a single meaningful task.

Assign Pack & Ship Co. and give your students the experience of using geometry the way real builders do: to measure, decide, and ship a finished job.