Volume and Surface Area

ABC26GN4781 · A cuboid has ____ edges. · 2006

ABC26GN4782 · 1 litre is equal to

ABC26GN4783 · A rectangular water tank is 8 m high, 6 m long and 2.5 m wide. How many litres of water can it hold? · 2008

ABC26GN4742 · Find the number of bricks, each measuring 24 cm × 12 cm × 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of… · 2010

ABC26GN4784 · The dimensions of a cuboid are 7cm, 11 cm and 13 cm. The total surface area is · 2011

ABC26GN4785 · A closed aquarium of dimensions 30 cm × 25 cm × 20 cm is made up entirely of glass plates held together with tapes. The total length of… · 2009

ABC26GN4787 · A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then… · 2006

ABC26GN4788 · A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is

ABC26GN4748 · A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

ABC26GN4790 · A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of…

ABC26GN4791 · Given that 1 cu. cm of marble weighs 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block…

ABC26GN4792 · Half cubic metre of gold sheet is extended by hammering so as to cover an area of 1 hectare. The thickness of the sheet is

ABC26GN4793 · In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is :

ABC26GN5101 · What is the capacity of the cylindrical tank? I. The area of the base is 61,600 sq. cm. II. The height of the tank is 1.5 times the radius…

ABC26GN4794 · The breadth of a room is twice its height and half its length. The volume of the room is 512 cu. m. The length of the room is · 2007

ABC26GN5102 · What is the capacity of the cylindrical tank? (Bank. P.O., 2008) I. Radius of the base is half of its height. II. Area of the base is 616…

ABC26GN4795 · The length of a cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including the doors) is 108 m2…

ABC26GN5103 · A solid metallic cone is melted and recast into a sphere. What is the radius of the sphere? I. The radius of the base of the cone is 2.1…

ABC26GN4796 · The length of a hall is 20 metres and the width is 16 metres. The sum of the areas of the floor and roof is equal to the sum of the areas…

ABC26GN4798 · The volume of a rectangular block of stone is 10368 dm3. Its dimensions are in the ratio of 3 : 2 : 1. If its entire surface is polished at…

ABC26GN4757 · A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it has been evenly spread all around it to a width of 21 m to form an…

ABC26GN4799 · The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at…

ABC26GN4758 · The radii of the bases of two cylinders are in the ratio 3 : 5 and their heights are in the ratio 2 : 3. Find the ratio of their curved… · 2007

ABC26GN4800 · It is required to construct a big rectangular hall to accommodate 500 persons, allowing 22.5 m3 space per person. The height of the hall is…

ABC26GN4801 · A cuboidal water tank contains 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference between… · 2005

ABC26GN4802 · The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is · 2010

ABC26GN4803 · Find the length of the longest rod that can be placed in a room 16 m long, 12 m broad and 10 2/3 m high.

ABC26GN4762 · How many metres of cloth 5 m wide will be required to make a conical tent, the radius of whose base is 7m and height is 24 m? · 2006

ABC26GN4763 · The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of…

ABC26GN4805 · How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m × 22.5 cm ? · 2008

ABC26GN4764 · If the heights of two cones are in the ratio 7 : 3 and their diameters are in the ratio 6 : 7, what is the ratio of their volumes? · 2009

ABC26GN4806 · The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the…

ABC26GN4765 · The radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3. Find the ratio of their…

ABC26GN4807 · 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then…

ABC26GN4766 · A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel…

ABC26GN4808 · A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average… · 2005

ABC26GN4809 · A school room is to be built to accommodate 70 children so as to allow 2.2 m2 of floor and 11 m3 of space for each child. If the room be 14… · 2010

ABC26GN4811 · A plot of land in the form of a rectangle has dimensions 240 m × 180 m. A drainlet 10 m wide is dug all around it (outside) and the earth… · 2006

ABC26GN4771 · Find the number of lead balls, each 1 cm in diameter that can be made from a sphere of diameter 12 cm. 4  3 3

ABC26GN4813 · If a river 2.5 m deep and 45 m wide is flowing at the rate of 3.6 km per hour, then the amount of water that runs into the sea per minute is

ABC26GN4772 · Three spheres of radii 3 cm, 4 cm and 5 cm are melted to form a new sphere. Find the radius of the new sphere. · 2010

ABC26GN4814 · A rectangular water tank is 80 m × 40 m. Water flows into it through a pipe 40 sq. cm at the opening at a speed of 10 km/hr. By how much…

ABC26GN4773 · How many spherical bullets can be made out of a lead cylinder 28 cm high and with base radius 6 cm, each bullet being 1.5 cm in diameter? · 2003

ABC26GN4815 · A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the… · 2006

ABC26GN4774 · A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. Find the length of the wire.

ABC26GN4816 · The water in a rectangular reservoir having a base 80 m by 60 m is 6.5 m deep. In what time can the water be emptied by a pipe of which the…

ABC26GN4775 · Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted…

ABC26GN4817 · Rita and Meeta both are having lunch boxes of a cuboidal shape. Length and breadth of Rita's lunch box are 10% more than that of Meeta's… · 2010

ABC26GN4776 · A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone.

ABC26GN4778 · A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of…