MODEL COLLEGE
                                       PRIVATE COACHING CENTRE					

MENSURATION (80 marks).

1	For an isosceles right angled triangle with length 5 cm of one side adjacent to the right angle, find the length of the perimeter of the triangle.

2	The circumference of a circle is 88 cm. Determine the length of the perimeter of its semi-circle.

3	 The diameter of the base of a cylindrical pillar is 7 m and its height is 18 m. Find the volume of the pillar.

4 	A circle of diameter 14 meter is inscribed within a square touching the sides. Find the area of the fillets thus formed and the cost of developing one fillet at the rate of Rs. 200 per square meter. 	

5 	Find the equations of the sides of a triangle ABC whose vertices are A (-1, 8), B(4, -2) and C(-5, -3). 	

6 	A conical tent is required to accommodate 11 persons. Each person must have 4 sq.m of space on the ground and 20 cu.m of air to breathe. Find the vertical height. 	

7	A path of 4 ft wide is to be laid outside round the square garden of 60ft. Find the area of the path.

8	Base radius of a conical tent is 5 m and its height is 10 m. Find the area of the canvas of the tent.

9	If the total surface area of a cube is 54 sq ft, find its volume.

10 	The perimeter of a right angled triangle is 30 cm and hypotenuse is 13 cm. Find the other two sides and the area of the triangle. 	

11 	Volume of a right circular cylinder, whose base has a radius of 7 cm, is same as volume of a cube having an edge of 11 cm. Find the altitude and the total surface area of the cylinder. 	

12	Three cubes, whose edges are 6 cm, 8 cm and 10 cm respectively, are melted without any loss of metal into a single cube. Find the edge of the new cube.

13	The circumference of the base of a right circular cylinder is 44 cm and its height is 10 cm. Find the volume of the cylinder.

14	Find the area of a triangle having sides 3 cm, 4 cm and 5 cm.

15	Find the number of tiles of area 200 sq. cm to cover the entire floor of a hall 16 m by 10 m. 	

16 	How many solid right circular cylinder each of length 8 cm and diameter 6 cm can be made out of the material of a solid cone of height 36 cm and base of diameter 24 cm? Find the total surface area of each cylinder?