Surface area of a cuboid

Cuboid as a shape and its properties are examined.

Objectives

1. Properties of a cuboid.
2. Derivation of the formula for total surface area, lateral surface area and volume of a cuboid.
3. 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)

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

• Developmental Questions:

1. What is a solid figure ?
2. Name the dimensions of the cuboid.
3. Recognise the face of each surface of the cuboid.
4. Are all faces congruent ?
5. Which of the faces are congruent ?
6. What is the formula to find area of a rectangle ?
7. To what is the total surface area of a cuboid equal ?
8. To what is the lateral surface area of a cuboid equal to ?

• Evaluation:

1. What is the formula to find the total surface area of a cuboid ?
2. What is the formula to find the lateral surface area of a cuboid ?

• Question Corner:

1. What is the area of an open cuboid ?