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Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Surface area for Cube & Cylinder

Grade: 6-a Lesson: S3-L2

Explanation: Hello students, let us learn a new topic in geometry today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Surface area of Cube

The surface area of a cube is the total area covered by all six faces of the cube.
Each face of a cube is a square, and since a cube has six faces, the total surface area (SA) can be calculated using the formula:
SA = \$6s^2\$ where SA represents the surface area of the cube.

$1$

Explanation: In this image, the surface area of the cube with a side length of 4 units is 96 square units using
SA = \$6s^2\$.

Definition: Surface area of Cylinder

The surface area of a cylinder is the measure of the total exposed area of its curved surface and the two circular bases.
It is calculated by adding the lateral surface area (the area of the curved surface) and the base area (the combined area of the two circular bases).
The formula for the surface area (A) of a cylinder is given by:
Surface Area(A) = Lateral Surface Area + Base Area
A = \$2π"r"^2 + 2π"rh"\$

$2$

Explanation: In this image, the surface area of the cylinder is 80π square units with a cylinder with a radius of 4 units and a height of 6 units.