1.How many smaller cubes with edges measuring 2 decimeters can be obtained from a cube with a 1-meter edge?
2.A cube has a volume of 1728 cubic centimeters. What is the total surface area of this cube?
3.If the total surface area of a cube is 24 square centimeters, what is the volume of the cube?
4.If the side length of a cube measures 2a cm, what is the total surface area of the cube?
5.A solid is formed by placing a right circular cone perfectly on top of a circular cylinder. The cone has a height of h. If the combined volume of the solid is three times the volume of the cone alone, what is the height of the cylinder?
6.By what percentage does the volume of a sphere increase when its radius is doubled?
7.A cylindrical pillar has a curved surface area of 264 m² and a volume of 924 m³. What is the ratio of its diameter to its height?
8.An external measurement of a cistern is 3.3 m in length, 2.6 m in width, and 1.1 m in height, with wall thickness of 5 cm. If the cistern holds 8000 litres, what is the thickness of its base?
9.Calculate the total surface area of a right circular cone with a height of 14 cm and a base radius of 7 cm.
10.Three smaller cubes with side lengths of 3 cm, 4 cm, and 5 cm are melted and reshaped into a single large cube. What is the ratio of the combined surface area of the three small cubes to the surface area of the large cube?
11.A sphere has a surface area of 2464 cm². If the radius of this sphere is increased to twice its original length, what will be the surface area of the new sphere?