Q1. The ratio of length of 2 parallel lines is 1 : 3 of a trapezium, while non parallel sides ratio is 2 : 3, if the ratio of length of larger parallel line to the larger non-parallel line is 2 : 1, if its height is (15√15)/4 cm. Find the area of trapezium.
(d) None of these
Q2. Find the area of a trapezium parallel sides of which are 77 cm & 60 cm & other 2 sides are 25 cm & 26 cm.
Q3. The perimeter of a triangular base of a right prism is 15 cm and the radius of the incircle of the triangular base is 3 cm. If the volume of the prism be 270 cm^3 then find the height of the prism.
Q4. The base of a pyramid is a square whose length is 24√2 cm. If the volume of the pyramid is 1728 cm^3. Find the height of the pyramid.
Q5. The length of rectangular sheet is 10 cm, what would be its minimum breadth so that nine circular sheets of radius 1 cm can be cut from it.
Q6. 40% part of a circular sheet of radius 10 cm was taken out, rest of the sheet was folded to make a cone. Find the ratio of the radius and the height of the new cone.
Q7. Find the ratio of sides of an equilateral triangle & a regular hexagon which are inscribed in a circle.
(a) √3 : 1
(b) 2 : 1
(c) 4 : 3
(d) none of these
Q8. Find the area of a max sized square in a right angle ∆ of sides 6, 8, 10 cm.
(a) 567/49 cm^2
(b) 576/49 cm^2
(c) 576/59 cm^2
(d) 576/94 cm^2
Q9. The volume of a cube is equal to its total surface area. Find the length of the side of a cube.
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