Q24 of 35 Page 74

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 _________.

(i) total number of diagonals of a cuboid =


surface diagonals + body diagonals


= 6 + 4 = 10


(ii) Length of surface diagonal = (a2 + a2) = (2a2) = 2 a


(iii) When the length of rectangular parallelepiped are equal then it becomes a CUBE.


More from this chapter

All 35 →
24

If the total surface area of a cube is s sq. unit and the length of the diagonal is d unit, then the relation between s and d is

 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]

 25

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.

 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.