Volume and Surface Area

ABC26GN4779 · A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

ABC26GN4821 · Length of a rectangular solid is increased by 10% and breadth is decreased by 10%. Then the volume of the solid

ABC26GN4822 · The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%…

ABC26GN4823 · A rectangular piece of cardboard 18 cm × 24 cm is made into an open box by cutting a square of 5 cm side from each corner and building up…

ABC26GN4824 · An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimensions 20 cm × 15 cm. If… · 2010

ABC26GN4825 · A closed box made of wood of uniform thickness has length, breadth and height 12 cm, 10 cm and 8 cm respectively. If the thickness of the… · 2006

ABC26GN4826 · A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood. · 2008

ABC26GN4828 · An open box is made of wood 3 cm thick. Its external dimensions are 1.46 m, 1.16 m and 8.3 dm. The cost of painting the inner surface of…

ABC26GN4829 · A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is

ABC26GN4830 · If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the…

ABC26GN4831 · A rectangular water tank is open at the top. Its capacity is 24 m3. Its length and breadth are 4 m and 3 m respectively. Ignoring the… · 2006

ABC26GN4832 · If the areas of three adjacent faces of a cuboid are x, y, z respectively, then the volume of the cuboid is · 2007

ABC26GN4833 · If the areas of the three adjacent faces of a cuboidal box are 120 cm2, 72 cm2 and 60 cm2 respectively, then find the volume of the box.

ABC26GN4834 · If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu. cm; then the length of…

ABC26GN4835 · The dimensions of a certain machine are 48'' × 30'' × 52''. If the size of the machine is increased proportionately until the sum of its… · 2009

ABC26GN4836 · If a metal slab of size 1 m × 20 cm × 1 cm is melted to another slab of 1 mm thickness and 1 m width, then the length of the new slab thus…

ABC26GN4838 · Each side of a cube measures 8 metres. What is the volume of the cube? · 2008

ABC26GN4839 · The perimeter of one face of a cube is 20 cm. Its volume must be

ABC26GN4840 · Total surface area of a cube whose side is 0.5 cm is

ABC26GN4841 · The cost of the paint is ₹ 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8…

ABC26GN4842 · If the volume of a cube is 729 cm3, then the surface area of the cube will be

ABC26GN4843 · The surface area of a cube is 150 cm2. Its volume is · 2006

ABC26GN4844 · The dimensions of a piece of iron in the shape of a cuboid are 270 cm × 100 cm × 64 cm. If it is melted and recast into a cube, then the…

ABC26GN4845 · The cost of painting the whole surface area of a cube at the rate of 13 paise per sq. cm is ₹ 343.98. Then the volume of the cube is :

ABC26GN4846 · An aluminium sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference in the surface areas of the two solids would… · 2008

ABC26GN4848 · What is the volume of a cube (in cubic cm) whose diagonal measures 4 √(3) cm ?

ABC26GN4849 · If the total length of diagonals of a cube is 12 cm, then what is the total length of the edges of the cube? · 2005

ABC26GN4850 · If the surface area of a cube is 13254 cm2, then the length of its diagonal is

ABC26GN4851 · V1, V2, V3 and V4 are the volumes of four cubes of side lengths x cm, 2 x cm, 3 x cm and 4 x cm respectively. Some statements regarding…

ABC26GN4852 · From a cube of side 8m, a square hole of 3m side is hollowed from end to end. What is the volume of the remaining solid? · 2006

ABC26GN4853 · If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of…

ABC26GN4854 · The volume of a cube is numerically equal to the sum of its edges. What is its total surface area in square units?

ABC26GN4855 · Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side…

ABC26GN4858 · How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? · 2008

ABC26GN4859 · A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is · 2005

ABC26GN4861 · A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be…

ABC26GN4862 · How many cubes of 3 cm edge can be cut out of a cube of 18 cm edge?

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

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