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Crate Stacker

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๐Ÿ—๏ธ Warehouse Filled!

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๐Ÿงฑ 5th Grade ยท NC Math ยท 5.MD.3โ€“5

Volume
Builder

Build boxes, discover formulas, and fill the warehouse!

๐Ÿงฑ

Unit Cubes

Volume = how many unit cubes fill a box. Use the sliders โ€” watch the cubes build!

๐Ÿ“ฆ What is Volume?

Volume measures how much 3D space a shape takes up. We measure it in cubic units โ€” tiny cubes that fill the whole box with no gaps or overlaps.

Think of packing a shipping crate: how many identical boxes fit inside?

๐Ÿ”ง Build-a-Box โ€” drag sliders, click to highlight layers

Volume
18
cubic units
Click the box to highlight a layer

๐Ÿ—๏ธ Layers are the Key!

Each layer is a flat array of cubes โ€” length ร— width. Stack up all the layers and you've filled the whole box!

Try setting height to 1: that's your base layer. Now increase height โ€” you're just stacking identical layers!

๐Ÿงฑ Practice โ€” Count the Cubes

cubic units
Correct: 0 / 3 to unlock Section 2
๐Ÿ“

The Formula

V = l ร— w ร— h  |  Why does it work? Let's find out.

๐Ÿ” Discover the Pattern

The base layer always has length ร— width cubes. Every time you add a height, you're multiplying that base by another layer. So: V = length ร— width ร— height

You can also write it as V = B ร— h where B = the area of the base.

๐Ÿ”ง Formula Explorer โ€” adjust and watch the math update

Formula

๐Ÿ“ Practice โ€” Use the Formula

cubic units
Correct: 0 / 3 to unlock Section 3
๐Ÿ—๏ธ

Composite Figures

Two rectangular prisms joined together โ€” split, solve, add!

โœ‚๏ธ The Split Strategy

When a shape is made of two rectangular prisms, find the volume of each piece separately โ€” then add them together.

Look for where you can "cut" the shape into two simpler boxes.

๐Ÿ”ง Composite Explorer โ€” click to see how it splits

๐Ÿ—๏ธ Practice โ€” Composite Volume

cubic units
Correct: 0 / 3 to unlock Final Challenge
๐Ÿ†

Final Challenge

All volume types mixed. Get 5 in a row โ†’ launch Crate Stacker!

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Mixed Volume Challenge

cubic units
Total correct: 0