Volume and Surface Area

ABC26GN4864 · How many small cubes, each of 96 cm surface area, can be formed from the material obtained by melting a larger cube of 384 cm surface area? · 2007

ABC26GN4865 · The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube… · 2005

ABC26GN4866 · A cuboidal block of 6 cm × 9 cm × 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be

ABC26GN4867 · The size of a wooden block is 5 × 10 × 20 cm. How many such blocks will be required to construct a solid wooden cube of minimum size?

ABC26GN4868 · An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the…

ABC26GN4869 · A cube of white chalk is painted red, and then cut parallel to the sides to form two rectangular solids of equal volumes. What percent of…

ABC26GN4870 · There is a cube of volume 216 cm3. It is to be moulded into a cuboid having one edge equal to 6 cm. The number of ways that it can be done…

ABC26GN4871 · If three cubes of copper, each with an edge of 6 cm 8 cm and 10 cm respectively are melted to form a single cube, then the diagonal of the…

ABC26GN4872 · A larger cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. The ratio of the total surface… · 2005

ABC26GN4873 · Five equal cubes, each of side 5 cm, are placed adjacent to each other. The volume of the new solid formed will be

ABC26GN4874 · If three equal cubes are placed adjacently in a row, then the ratio of the total surface area of the new cuboid to the sum of the surface… · 2007

ABC26GN4875 · Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a single cube whose diagonal is 12 √(3) cm. The sides of the cubes are

ABC26GN4876 · If the volumes of two cubes are in the ratio 27 : 1, the ratio of their edges is

ABC26GN4877 · The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is

ABC26GN4878 · Two cubes have volumes in the ratio 1 : 27. Then the ratio of the area of the face of one of the cubes to that of the other is

ABC26GN4879 · If each edge of a cube is doubled, then its volume:

ABC26GN4880 · By what percent the volume of a cube increases if the length of each edge was increased by 50%? · 2011

ABC26GN4881 · If each edge of a cube is increased by 25%, then the percentage increase in its surface area is :

ABC26GN4882 · A cube of edge 20 cm is completely immersed in a rectangular vessel containing water. If the dimensions of the base of the vessel are 20 cm…

ABC26GN4883 · A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out? · 1999

ABC26GN4884 · Find the cost of a cylinder of radius 14 m and height 3.5 m when the cost of its metal is ₹ 50 per cubic metre. · 2008

ABC26GN4885 · If the radius and height of a right circular cylinder are 21 cm and 35 cm respectively, then the total surface area of the cylinder is

ABC26GN4886 · The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?

ABC26GN4888 · Capacity of a cylindrical vessel is 25.872 litres. If the height of the cylinder is three times the radius of its base, what is the area of… · 2007

ABC26GN4889 · Two rectangular sheets of paper, each 30 cm × 18 cm are made into two right circular cylinders, one by rolling the paper along its length… · 2006

ABC26GN4890 · Three rectangles A1, A2 and A3 have the same area. Their lengths a1, a2 and a3 respectively are such that a1<a2<a3. Cylinders C1, C2 and C3…

ABC26GN4891 · The volume of a right circular cylinder whose curved surface area is 2640 cm2 and circumference of its base is 66 cm, is

ABC26GN4892 · A well has to be dug out that is to be 22.5 m deep and of diameter 7m. Find the cost of plastering the inner curved surface at ₹ 3 per sq… · 2007

ABC26GN4893 · The radius and height of a cylinder are in the ratio 5: 7 and its volume is 4400 cm3. Then its radius will be

ABC26GN4894 · The height of a right circular cylinder is 14 cm and its curved surface is 704 sq. cm. Then its volume is:

ABC26GN4895 · A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs ₹ 80 per m2, the cost of the…

ABC26GN4896 · The curved surface area of a right circular cylinder of base radius r is obtained by multiplying its volume by

ABC26GN4897 · The ratio of total surface area to lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is

ABC26GN4898 · Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of… · 2010

ABC26GN4899 · The diameter of the base of a cylindrical drum is 35 dm and the height is 24 dm. It is full of kerosene. How many tins each of size 25 cm ×…

ABC26GN4900 · The radius of the cylinder is half its height and area of the inner part is 616 sq. cms. Approximately how many litres of milk can it…

ABC26GN4901 · The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq…

ABC26GN4902 · The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

ABC26GN4903 · The height of a right circular cylinder is 6 m. If three times the sum of the areas of its two circular faces is twice the area of the…

ABC26GN4904 · The height of a closed cylinder of given volume and the minimum surface area is

ABC26GN4905 · If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced… · 2005

ABC26GN4906 · The radii of the bases of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 3. The ratio of their volumes is · 2005

ABC26GN4907 · If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its… · 2006

ABC26GN4908 · If two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio of their radii is · 2010

ABC26GN4909 · X and Y are two cylinders of the same height. The base of X has diameter that is half the diameter of the base of Y. If the height of X is…

ABC26GN4910 · The radius of a wire is decreased to one-third and its volume remains the same. The new length is how many times the original length?

ABC26GN4911 · If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, the volume will be decreased by

ABC26GN4912 · Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its…

ABC26GN4913 · A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by

ABC26GN4915 · Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the…