Advertisements
Advertisements
Question
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
Advertisements
Solution
Let each side of the cube be a, then its volume = a3 ...[∵ Volume of a cube = (Side)3]
If side reduced to one fourth = `a xx 1/4 = a/4`
Now, its volume = `(a/4)^3 = a^3/64`
Hence, new volume `1/64` times of original volume.
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 21 cm
The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is
Find the number of bricks of dimension 20 cm × 5 cm × 10 cm required to construct a wall of dimension 300 cm × 200 cm × 20 cm
How many sack of dimension 15 cm × 45 cm × 90 cm filled with rice can be kept in a room of dimension 3 m × 18 m × 9 m
How many centimetre cubes can be arranged along its:
Length? ______
Width? ______
Height? ______
Answer Thimpu's questions:
- To make the first layer on the table how many cm cubes will I use? ______
- How many such layers will I need to make a cube? ______
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.
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is ______.
A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is ______.
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ______.
