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

Estimated Time

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

Download this geogebra file from this link.

Download this geogebra file from this link.

Process (How to do the activity)

1. Project the geogebra file that would enable the students to visualise an opened cube.
2. Ask the following questions.

• 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.