Volume of figures made of unit cubes

key points :

📦 Volume of Figures Made of Unit Cubes 🟦🟩🟨

1️⃣ What is Volume? 🌊

• Volume is the amount of space a 3D figure occupies.
• Measured in cubic units (like 1 cm³, 1 m³).
• Unit cube = cube with side = 1 unit 🟦.

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2️⃣ Unit Cubes and Figures 🟨🟩

3D shapes can be made by joining unit cubes.

Count all cubes to find volume.

Example:

• A shape with 4 cubes in a row, 3 cubes in height, 2 cubes in depth.

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3️⃣ Formula for Rectangular Figures 📐

If the figure is a rectangular prism:

Volume = Length × Width × Height

Example: 📏

• Length = 3 cubes, Width = 2 cubes, Height = 4 cubes
• Volume = 3 × 2 × 4 = 24 unit cubes 🟦

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4️⃣ Irregular Figures 🧩

Some figures are not simple prisms.

Divide them into smaller rectangular parts.

Find volume of each part and add them.

Example:

• L-shaped figure = Volume of top part + Volume of bottom part

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5️⃣ Counting Cubes Method 🔢

• For irregular shapes, count cubes layer by layer.
• ✅ Start from bottom layer to top layer
• ✅ Add number of cubes in all layers to get total volume

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6️⃣ Important Tips 💡

• Unit cubes must fit perfectly without gaps.
• Volume is always in cubic units.
• Always double-check by counting or multiplying.

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7️⃣ Quick Tricks ✨

• Layer method works for any shape
• Multiply length × width × height if shape is rectangular
• For composite shapes, split & add

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🎨 Fun Example:

A figure has 2 layers:

• Bottom layer = 6 cubes
• Top layer = 4 cubes
• Volume = 6 + 4 = 10 cubes 🟦🟦

Learn with an example

Let’s practice!🖊️