Q.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 ..............
Q.A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ..........
Q.If the diagonals of a rhombus get doubled, then the area of the rhombus becomes .............
its original area.
Q.If a cube fits exactly in a cylinder with height h, then the volume of the cube is .............
and surface area of the cube is ............
Q.The volume of a cylinder becomes ............ the original volume if
Its radius becomes half of the original radius.
Answers
Step-by-step explanation:
Q.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 ..............
Q.A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ..........
Q.If the diagonals of a rhombus get doubled, then the area of the rhombus becomes .............
its original area.
Q.If a cube fits exactly in a cylinder with height h, then the volume of the cube is .............
and surface area of the cube is ............
Q.The volume of a cylinder becomes ............ the original volume if
Its radius becomes half of the original radius.Q.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 ..............
Q.A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ..........
Q.If the diagonals of a rhombus get doubled, then the area of the rhombus becomes .............
its original area.
Q.If a cube fits exactly in a cylinder with height h, then the volume of the cube is .............
and surface area of the cube is ............
Q.The volume of a cylinder becomes ............ the original volume if
Its radius becomes half of the original radius.
Step-by-step explanation:
- Hence, in each edge two small cubes are left, in which two faces painted. It is known that the total numbers of edges in a cubes = 12. Thus, the number of small cubes with two faces painted = 12 × 2 = 24 small cubes.
- Volume of cube = 53 = 125 Now, when the cube is cut into 1 cubic cm, we will get 125 small cubes Therefore, the volume of the big cube = volume of 125 cm with 1 cubic cm. It means that, there is no change in the volume.
- The area of the rhombus will become four times than the original area.
- refer to the picture
- When radius is halved, radius of nee cylinder is r/2. Hence, volume of a cylinder becomes 1/4th the original volume if radius becomes half of the original radius.
