Chapter 14: How Big? How Heavy?

7 cm

b) How many centimetre cubes can be arranged along its:

Length? __________

Width? __________

Height? __________

Length = 7 cm

Width = 7 cm

Height = 7 cm

c) Answer Thimpu’s questions:

To make the first layer on the table how many cm cubes will I use? ____

49 cm

How many such layers will I need to make a paper cube? ________

7 such layers

d) So the total cm cubes = __________

Total cm cubes = 7 × 7 × 7 = 343 cm cubes

e) The volume of the paper cube is same as __________ cm cubes.

The volume of the paper cube is the same as 343 cm cubes.

Length of the side of the paper cube = 7 cm

Length of the side of Anan’s cube = 2 × 7 cm = 14 cm

We can fit 4 paper cubes, each of side 7 cm, in the first layer of the big cube.

As the length of each side of the big cube is 14 cm, there will be a total of 2 layers, with each layer containing 4 paper cubes.

So, the number of paper cubes in 2 layers = 2 × 4 = 8

Thus, 8 paper cubes will fit inside Anan’s big cube.

Packing Cubes:

Ganesh and Dinga want to pack 4000 centimetre cubes in boxes. These are to be sent to a school. There are three different boxes available for packing.

I guess that the cubes will fit in all the 3 boxes put together. Dinga is right.

In the first layer of box B, we can keep 11 × 11 = 121 cubes.

There are 10 such layers.

So, in box B, we can arrange 10 × 121 = 1210 cubes

In the first layer of box C, we can keep 15 × 9 = 135 cubes.

There are 10 such layers.

So, in box C, we can arrange 10 × 135 = 1350 cubes

In all three boxes, we can arrange 1200 + 1210 + 1350 = 3760 cubes Therefore, 3760 centimetre cubes in total can be packed in three boxes.

Use Ganesh’s method and write:

Solution coming soon.