📝 Practice Worksheets
Surface Area of a Cube Cubes with Decimal Dimensions Rectangular Prism Nets Rectangular Prisms and Cubes Quiz
🛠️ Related Tools
🔑 Key Concepts
- A cube has 6 congruent square faces.
- Each face has the same area because every edge of a cube has the same length.
- The surface area of a cube can be found with \(SA=6s^2\).
- In the formula, \(s\) represents the side length of the cube.
- Surface area is measured in square units.
✏️ Worked Example
🧠 Math Vocabulary
- Cube: a three-dimensional figure with 6 congruent square faces.
- Surface Area: the total area of all outside faces of a three-dimensional figure.
- Face: one flat surface of a three-dimensional figure.
- Congruent Faces: faces that have the same size and shape.
- Net: a two-dimensional pattern that can fold into a three-dimensional figure.
- Side Length: the length of one edge of a square face of a cube.
- Square Units: units used to measure area, such as \(\text{cm}^2\), \(\text{ft}^2\), or \(\text{units}^2\).
💡 Main Idea
To find the surface area of a cube, find the area of one square face and multiply by 6. Since each face is congruent, the formula is \(SA=6s^2\).
📚 What You Should Already Know
Students should know how to find the area of a square using \(A=s^2\), multiply whole numbers and decimals, identify square faces, and understand how nets represent three-dimensional figures.
🚀 What Comes Next
Students can extend this idea to rectangular prisms, triangular prisms, cylinders, cones, and composite three-dimensional figures.
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