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The section covers how to determine the surface area of a cube, demonstrating it through hands-on activities and theoretical questions. It emphasizes the unique characteristic of a cube where all sides are of equal length, leading to a specific formula for the total surface area.
In this section, we explore the cube, a three-dimensional shape characterized by having six equal square faces. The teaching begins with a hands-on activity where students create a net of a cube using squared paper and assemble it to visualize the shape better. The discussion covers important properties of the cube, such as its dimensions—length, width, and height being equal—and the area of each face. The section concludes with a formula for calculating the total surface area, highlighting the significance of understanding the cube's geometry in real-world contexts.
Cube: A solid shape with six equal square faces.
Surface Area Formula: The total surface area can be represented as 6l² where l is the side length.
Nets: The net of a cube helps visualize how the surfaces come together.
In a cube that's neat and tight, six square faces bring delight!
Imagine a box filled with tiny cubes. Each tiny cube can paint six sides, just like how a big cube's surface area equals six times the area of one face.
To remember the surface area formula: 'Six Little Squares' for 6l²!
Example: A cube with a side length of 2 cm will have a surface area of 6*(2²) = 24 cm².
Example: Joining two cubes each with side length b results in a cuboid, requiring calculation of new surface areas.
Term: Cube
Definition: A three-dimensional shape with six equal square faces.
A three-dimensional shape with six equal square faces.
Term: Surface Area
Definition: The total area of all the surfaces of a three-dimensional object.
The total area of all the surfaces of a three-dimensional object.
Term: Net of a Cube
Definition: A two-dimensional representation of the cube that can be folded to form it.
A two-dimensional representation of the cube that can be folded to form it.