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4. Rectangular Parallelopiped or Cuboid
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Q25 of 35 Page 74

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.

In cuboid –number of surfaces = 6 = x

number of edges = 12 = y


number of vertices = 8 = z


number of diagonal = surface diagonal + body diagonal = 6 + 4 = 10 = p


Thus, x-y + z + p = 6-12 + 8 + 10 = 12.


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24

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]

24

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 _________.

26

The length of the dimensions of 2 cuboids are 4,6,4 units and 8, (2h-1) , 2 units respectively. If the volume of 2 cuboids are equal, then let us write the value of h.

25

If each edge of a cube is increases by 50%, then how much total surface area of the cube will be increased in %?

Questions · 35
4. Rectangular Parallelopiped or Cuboid
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