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प्रश्न
Ganesh and Dinga want to pack 4000-centimeter cubes inboxes. These are to be sent to a school. There are three different boxes available for packing.
- How can Ganesh and Dinga test their guesses before packing the cubes in the boxes? Discuss with your friend.
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उत्तर
- 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
So, 3760-centimetre cubes in total can be packed in three boxes.
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Ganesh and Dinga want to pack 4000-centimeter cubes inboxes. These are to be sent to a school. There are three different boxes available for packing.
Use Ganesh's method and write:
- _____ centimeter cubes can be arranged in box B.
- _____ centimeter cubes can be arranged in box C.
- So _____ centimeter cubes in all can be packed in the three boxes.
The volume of a cube whose edge is 3x is ______.
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is ______.
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is ______.
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ______.
What will happen to the volume of the cube, if its edge is tripled?
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
