Volume of a cuboid using unit cubes

Objectives

Content objectives - what content areas

Skill objectives - what specific skills

Classroom objectives - to demo peer learning, to make a classroom resource, etc -

All these kinds of objectives need not be there for every activity. And no need to list them as different headings. This is only for our reference when we are developing activities.

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

1. A cuboid and its properties should have been done.
2. A rectangle and formula to find its area.
3. A unit cube is a cube with side 1 unit.

Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer

This geogebra file has been taken from : www.geogebratube.org

Process (How to do the activity)

• Process:

1. The teacher can discuss about a cuboid and its attributes - the length , width and height parameters.
2. Discuss about the concept of volume.
3. Discuss about a cube of side 1 unit.
4. Find the volume of 1 unit cube using volume formula ( lxbxh).
5. Also to reiterate the volume of 1 unit cube, the teacher can (if need be) drop it in a measuring jar having water. The water displaced would be 1 cubic cm indicating the volume of 1 unit cube is 1 cubic cm.
6. By finding out the capacity of a cuboid to hold number of such 1 unit cubes, the volume can be determined.
7. Next she can proceed further by reiterating that the number of 1 unit cubes would be l x b x h which would again be the volume of the cuboid.

• Developmental Questions:

1. What is the shape of the outer figure ?
2. What shape is each small inner solid ?
3. What is the measure of each small cube ?
4. What is the formula to find the volume of a cube ?
5. How many 1 unit cubes can be fitted in 1 row ?
6. How many such rows are there in the cuboid ?
7. What is the total number of unit cubes in the cuboid ?
8. What does this number depict ?
9. How can one determine the volume of a cuboid ?

• Evaluation:

1. Were the students able to comprehend the use of 1 unit cubes in finding the volume of cuboid ?

• Question Corner:

1. Can volume of other solids be found using similar anology ?