Class 6 NCERT bridge course Answers Activity W2.3 Volume – Making Boxes of Different Volumes

 Volume: Making boxes of different volume from same size paper: 

Activity W2.3 

 Take two rectangular papers of the same size and different colours (say blue and yellow). 

First take any paper, say blue colour, crease it along the larger side from the middle such that both parts become equal (Fig. 1).

Crease the same paper from the middle such that both parts become equal and this divides the paper in four equal parts (Fig. 2). 

 Now join the open sides of the paper with power tape and form a box (Fig. 3)

Do the same with another paper, say yellow colour, by creasing it along the shorter side and form another box (Fig. 4 and Fig.5). 

 Now put the blue box on the table vertically so that one open side faces the table and the other side upwards and fill it completely with rice/grains. 

Empty all the rice in a container and fill the yellow box with this rice. 

Does it fill the blue box completely or not?

Activity W2.3: Volume – Making Boxes of Different Volumes

Objective:
To explore how folding the same size paper in different ways creates boxes of different volumes.

 Materials Needed:

• 2 rectangular sheets of the same size (different colors, e.g., blue and yellow)

• Power tape or glue

• Grains or rice

• Container to transfer grains

 Procedure:

1. Blue paper:
   Fold the paper in half along the longer side.
   Then fold it again along the shorter side, dividing it into four equal parts.

2. Tape the open edges to form a tall box.

3. Yellow paper:
   Fold it first along the shorter side, then in half again.
   Tape the open edges to form a shorter, wider box.

4. Fill the blue box with rice.
   Pour the rice into the yellow box.

 Question:

Does the yellow box hold the same amount of rice as the blue one?

 Example Calculation:

Suppose each paper is 20 cm × 16 cm:

• Blue box (base = 8 cm × 10 cm, height = 8 cm)
  Volume = 8 × 10 × 8 = 640 cm³

• Yellow box (base = 16 cm × 5 cm, height = 5 cm)
  Volume = 16 × 5 × 5 = 400 cm³

Result: The blue box holds more!

Conclusion:

Even when using the same sheet size, the way you fold and form a box greatly affects its volume. Taller, narrower shapes can sometimes hold more than shorter, wider ones.