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Question 1
A circular wire of length 168 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 5 : 7. What is the length (in cm) of the diagonal of the rectangle?
Question 2
The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm and 15 cm. The height of the prism is 5 cm. Then, the surface area of the prism is:
Question 3
Three sides of a triangular field are of length 15 m, 20 m and 25 m long respectively. Find the cost of sowing seeds in the field at the rate of 5 rupees per sq.m.
Question 4
A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is:
Question 5
The length of the largest possible rod that can be placed in a cubical room is 
mt. The surface area of the largest possible sphere that fit within the cubical room (assuming 
) in square mt. is
mt. The surface area of the largest possible sphere that fit within the cubical room (assuming ) in square mt. is Question 6
A square of side 3 cm is cut off from each corner of a rectangular sheet of length 24 cm and breadth 18 cm and the remaining sheet is folded to form an open rectangular box. The surface area of the box is:
Question 7
What is the height of a cylinder that has the same volume and the radius as that of a sphere of diameter 12cm ?
Question 8
A cylindrical rod of Iron whose height is eight times its radius is melted and cast into spherical balls each of half the radius of the cylinder. The number of such spherical balls is
Question 9
Two solid right cones of equal heights and of radii r1 and r2 are melted and made to form a solid sphere of radius R. Then the height of the cone is
Question 10
How many square tiles each of 3 decimeter side , will be required to cover the floor of a room 9 m long and 6 m broad?
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Aug 21CDS & Defence
