Math6-8
Shipping Crate Challenge: Solving for Height
By Leila P.
A partner station activity for 8th graders in which pairs rearrange the volume formula for a rectangular prism to solve for an unknown height. It builds skills in literal equations, inverse operations, and applying algebra to real-world design problems, and it works well as one station in a rotation.
Customize for your classroom
Teacher Guide & Tips
- Use this as a single station in a rotation, allowing about 10-15 minutes per station so partners can read the scenario, rearrange the formula, and check their work.
- Discussion question: Why does dividing by the base area undo the multiplication in the volume formula, and how would the answer change if the customer had specified a different base?
- Scaffold for struggling readers: Pre-teach the terms literal equation and inverse operations, and have partners write each step of the rearrangement on a separate line before computing numbers.
- Extension for advanced students: Ask pairs to design a second crate with a fixed volume but a different base area, then compare the resulting heights and explain which design uses less material.
- Estimated time: About 10-15 minutes of partner work, plus a brief share-out at the end of the rotation.
Math6-8
Shipping Crate Challenge: Solving for Height
By Leila P.
A partner station activity for 8th graders in which pairs rearrange the volume formula for a rectangular prism to solve for an unknown height. It builds skills in literal equations, inverse operations, and applying algebra to real-world design problems, and it works well as one station in a rotation.
Customize for your classroom
Teacher Guide & Tips
- Use this as a single station in a rotation, allowing about 10-15 minutes per station so partners can read the scenario, rearrange the formula, and check their work.
- Discussion question: Why does dividing by the base area undo the multiplication in the volume formula, and how would the answer change if the customer had specified a different base?
- Scaffold for struggling readers: Pre-teach the terms literal equation and inverse operations, and have partners write each step of the rearrangement on a separate line before computing numbers.
- Extension for advanced students: Ask pairs to design a second crate with a fixed volume but a different base area, then compare the resulting heights and explain which design uses less material.
- Estimated time: About 10-15 minutes of partner work, plus a brief share-out at the end of the rotation.