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Question 1
The radius and height of a cylinder are 6 cm and 7 cm respectively. The curved surface area of the cylinder is equal to the surface area of a cube. What is the length of the diagonal of the cube? [Use π = 22/7 ]
Question 2
A closed semi-circlular wire of radius 14 cm is transformed into a square, which is bounded externally by small semi-circular rings of diameter 2 cm. What is the total perimeter of the all the external semi-circular rings?
Question 3
The shape of an object is a cube with a right pyramid on top. The side of the cube is 2 cm while the height of the object is 17 cm. Find the volume of the object.
Question 4
The base of a solid right prism is a triangle whose sides are 15 cm, 8 cm and 17 cm, The height of the prism is 6 cm. Then the total surface area of the prism is:
Question 5
A grass field is in the form of regular hexagon of side 7 m. A cow is tied to one of the corners with a rope of length 7 m to allow it to graze. How much percentage of area of the field can it graze (to nearest integer)?
Question 6
The lengths of two parallel sides of a trapezium are 21 cm and 9 cm. If its height is 10 cm, then what is the area (in cm2) of the trapezium?
Question 7
A square is of area 200 sq. m. A new square is formed in such a way that the length of its diagonal is √2 times of the diagonal of the given square. Then the area of the new square formed is:
Question 8
If the Diagonal of a cube is 8√3 units, find the ratio of area and volume of the cube?
Question 9
There is a box of cuboid shape. The smallest side of the box is 20 cm and largest side is 40 cm. Which of the following can be volume (in cm3) of thebox?
Question 10
How many balls of radius 10 cm can be made by melting a bigger ball of diameter 80 cm?
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Oct 3CDS & Defence
