All Modules
Grade 5 Math Lab: The Bridge to Algebra FREE
Loading simulation...
Volume of Rectangular Prisms
Learning Objectives
- Understand volume as 3D space filling
- Calculate volume using unit cubes
- Apply the volume formula V = l × w × h
- Solve real-world volume problems
Key Concepts
Volume
The amount of space inside a 3D shape, measured in cubic units
Cubic Unit
A cube measuring 1 unit on each edge (like 1 cm³ or 1 in³)
Base × Height
Volume = Area of base × height (layers of unit cubes)
Theory
Volume tells us how much space a 3D object takes up. For rectangular prisms, we can count unit cubes!
**Building Understanding:**
1. **Layer by Layer:** A 3×4 base holds 12 cubes per layer
2. **Stack Layers:** 5 layers high = 12 × 5 = 60 cubic units
3. **Formula:** V = length × width × height
**The Prism Factory Concept:**
- Design a base shape on a grid
- Stack it to any height
- Count total cubes = Volume
**Volume Formula:**
V = l × w × h
Or think of it as:
V = (Base Area) × Height
V = B × h
**Units Matter!**
- Length in cm → Volume in cm³
- Length in ft → Volume in ft³
Examples
Find the volume of a box 4cm × 3cm × 5cm
Solution: V = 4 × 3 × 5 = 60 cm³
A room is 12ft × 10ft × 8ft. Find its volume.
Solution: V = 12 × 10 × 8 = 960 ft³
How many 1-inch cubes fit in a 6×4×3 inch box?
Solution: 6 × 4 × 3 = 72 cubes
📝
Knowledge Check
Test your understanding of Prism Factory!