Introduction
One of the most routine of daytoday physical units, but one that causes innumerable conceptual misunderstandings, "volume" is visualised here handson by making cubes only out of paper.
Tools
Parts


Draw a vertical line at 14cm from one end of the sheet.

At 28cm from the top of the vertical line draw a perpendicular towards the 14cm.

Now fold along the vertical line.



Cut the creased vertical line with the help of a ruler.

Now fold along the perpendicular line drawn at the bottom initially and cut it off using a ruler.

Now you're left with a 14cm x 28cm rectangle.



Fold the rectangle laterally and cut across the creased line.

This gives you two 14cm x 14cm square sheets.

Repeat Step 1 to 3 for two more A4 sheets ( coloured preferably ) . This way you'll have the required six 14cm x14cm square sheets.



Fold the square to make two equal halves.

Fold the two halves towards the middle to make it look like a cupboard.

Fold laterally to divide it into two equal parts.



Fold the upper half towards the center to make the first triangle.

Fold the lower half towards the center in the opposite direction to make the second triangle.

This makes a parallelogram.



You will find a small triangle on your left open.

Fold it inside

Tuck the remaining portion on your right inside the left



Repeat the procedures of step 6 for the lower triangle.

You'll have a parallelogram with four pockets.



Turn around

Fold the triangles as flaps with a square in the middle.



Now you have two triangular flaps and a square with four pockets.

Repeat steps 1 to 5 for the remaining sheets.



Take one module and place it as shown.

Insert the second module's flap into the first module's pocket as shown.

Insert the third module in the opposite pocket.



Tuck the 4th module into the second as shown.

Turn around.

Erect the 4th module to 90 degrees



Do all the possible tucking.

Turn around such that the cube has it's top uncovered.



It should be inserted such that the cube now has it's top covered.



Turn around again to have the cube's top uncovered.

Insert the 6th module as shown.



How many more cubes of volume 125ml will be required to make a 1L cube?

What is the length, breadth and height of the cube?

Can you measure the above without using a ruler?

What should be the dimension of square to make one 1L cube?
