Volume: Intuitive introduction volume of a cuboid
STUDENTS:
A cube is a 3D square. [br]A cuboid is a 3D rectangle.[br][br]We can make a cuboid out of cubes.[br][br]Interact with the applet below for a few minutes. Then answer the questions that follow. [br][br]
In the applet above, create a cuboid that has 1 layer measuring 3 units long by 4 units wide. How many cubes make up the cuboid? [br]Once you have submitted your answer, draw a picture of the cuboid in your book.
Now make this cuboid 2 layers high? Now how many cubes make up the cuboid?[br]Once you have submitted your answer, draw a picture of the cuboid in your book.
Create a cuboid that has one layer measuring 5 units long by 3 units wide. How many cubes make up this cuboid?[br]Once you have submitted your answer, draw a picture of the cuboid in your book.
Now make this cuboid 2 layers high. How many cubes make up the cuboid?[br]Once you have submitted your answer, draw a picture of the cuboid in your book.
Now make the cuboid 3 layers high. How many cubes make up the cuboid?
What if the cuboid were 10 layers high. (you won't be able to make this on the activity). How many cubes do you think you would need?
How can we EASILY determine the number of cubes that fit inside ANY cuboid? Describe.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.[br]Once you have written the answer, draw a picture in your book.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.[br]Once you have written the answer, draw a picture in your book.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.[br]Once you have written the answer, draw a picture in your book.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.
What is the volume of the cuboid above?[br]If you need to, use the applet to make the shape to help you.[br]Once you have written the answer, draw a picture in your book.
What is the volume of the cuboid above?[br]Once you have written the answer, draw a picture in your book.
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
What is the volume of the cuboid above?
If the volume of a cuboid is 24cm[sup]3[/sup], and the width is 2cm and the length is 3cm, what is the height?
How many different cuboids can you make with a volume of 24cm[sup]3[/sup]?[br]Draw the answer in your book.