# Surface area of a cuboid

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Cuboid as a shape and its properties are examined.

### Objectives

- Properties of a cuboid.
- Derivation of the formula for total surface area, lateral surface area and volume of a cuboid.
- Understand the concept of open cuboid, closed cuboid.

### Estimated Time

40 minutes.

### Prerequisites/Instructions, prior preparations, if any

Students should know concept of area and should be able to calculate area for plane figures

### Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Cubiod surface area

Download this geogebra file from this link.

### Process (How to do the activity)

- Project geogebra file and let children explore a cuboid from all angles by moving the sliders.
- Ask the following questions.

- Developmental Questions:

- What is a solid figure ?
- Name the dimensions of the cuboid.
- Recognise the face of each surface of the cuboid.
- Are all faces congruent ?
- Which of the faces are congruent ?
- What is the formula to find area of a rectangle ?
- To what is the total surface area of a cuboid equal ?
- To what is the lateral surface area of a cuboid equal to ?

- Evaluation:

- What is the formula to find the total surface area of a cuboid ?
- What is the formula to find the lateral surface area of a cuboid ?

- Question Corner:

- What is the area of an open cuboid ?