Q. 84.0( 13 Votes )
If the sum of the areas of 6 surfaces of the cube be 216 sq. cm , then let us calculate the volume of the cube.
Let the edge of a cube be a cm.
We know that total surface area of cube is 6a2
According to question,
6a2 = 216
a2 = = 36
a = √36 = 6 cm
As, volume of cube is a3
Therefore, volume = 63 = 216 cubic cm.
Rate this question :
Let us write true/false of the following statements:
(i) If the length of each of a cube is twice of that 1st cube then the
volume of this cube is 4 times more than that of the 1st cube.
(ii) In rainy season, the height of rainfall in 2 hectare land is 5 cm, the volume of rain water is 1000 cubic metre.
[hint: 1 are = 100 sq. m,1 hectre = 100are]West Bengal Board - Mathematics
Let us fill in the blanks:
(i) The number of diagonals of a cuboid is ________.
(ii) The length of diagonal on the surface of a cube = ________× the length of one edge.
(iii) If the length, breadth and height of a rectangular parallelepiped are equal, then the special name of this solid is _________.West Bengal Board - Mathematics
The length of each side of three solid cubes are 3 cm, 4 cm, 5 cm respectively, a new solid is made by melting these three solid cubes. Let us write the edge of the new cube.West Bengal Board - Mathematics
If the number of surfaces of cuboid is x, the number of edges is y, the number of vertices is z and the number of diagonal is p, let us write the value of x-y + z + p.West Bengal Board - Mathematics
Half of the cuboidal water tank with length of 2.1 m and breadth of 1.5 m is filled with water. If 630 lt of water is poured more into the tank, then let us calculate and write the depth that will be increased by.West Bengal Board - Mathematics
The inner volume of a cuboidal box is 440cc. and the area of the base is 88sq. cm, its height is-West Bengal Board - Mathematics
The lengths of 2 adjacent walls of room are 12m, 8 m respectively. If the height of the room is 4 m , then let us write by calculating, the area of the floor of the room.West Bengal Board - Mathematics
The depth of a cuboidal pond with length of 20m and breadth of 18.5m is 3.2m, let us write by calculating the time required to irrigate whole water of the pond with a pump with capacity to irrigate 160 kilo L water per hour. If that quantity of water is poured on a paddy field with a ridge having the length of 59.2m and breadth of 40m then what is the depth of water in that field –let us write calculating it,[I cubic m = I kilo L]West Bengal Board - Mathematics
If the sum of the areas of 6 surfaces of the cube be 216 sq. cm , then let us calculate the volume of the cube.West Bengal Board - Mathematics
The daily requirement of water of 3 families in our 3 storeyed flat are 1200L,1050L and 950L respectively. After fulfilling these requirement in order to put up a tank again and to deposit to store 25% of the required water, only a land having a length of 2.5m and breadth of 1.6m has been poured. Let us calculate the depth of tank in metre that should be made.
If the breadth of the land would be more by 4 dcm, then let us calculate the depth of the tank to be made.West Bengal Board - Mathematics