# Surface area and volume of a cube

Cube is introduced and analysed to calculate the surface area.

### Objectives

Understand surface area of a cube

Understand volume of a cube

15 minutes.

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

1. Cube and its properties should have been done.
2. Formula to find the area of a square.

### Materials/ Resources needed

Laptop, geogebra file, projector and a pointer.

Geogebra file: Cube , Surface area of a cube

### Process (How to do the activity)

1. Project the geogebra file that would enable the students to visualise an opened cube.
• Developmental Questions:
1. What is the formula to find the area of a square ?
2. What does the term 'area' mean ?
3. What is the meaning of total surface area ?
4. How many squares are there totally in a cube ?
5. Therefore what is the total surface area of a cube.?
6. What does the term 'lateral' mean ?
7. What is lateral surface area ?
8. How many squares are there in a lateral surface of a cube ?
9. Hence what is the formula to find the lateral surface area of a cube ?
10. What does the term 'volume'mean ?
11. What is the formula for volume in general?
12. What is the formula for volume of cube ?
• Evaluation
1. Were the students able to comprehend the difference between area and volume ?
2. Were they able to understand the distinction between the lateral surface area and total surface area ?
• Question Corner:
1. What is the formula to find the area for a cuboid cantainer with no lid and with lid ?
2. Give some examples of objects which are cuboidal in shape.