Welcome to your Mensuration(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. A square tile measures 20 cm by 20 cm. How many of such tiles will cover a floor measuring 5m by 4m3202505004002. Two walls and the ceiling of a room meet at right angles at point P. A fly is in the air, 1 meter from one wall, 8 meters from the other wall and 9 meters from the point P. How many meters is the fly from the ceiling?1541423. A storage tank in the shape of a cuboid of base 2.5 m by 2m can hold up to 7,500 litres of water. The height of the tank is1.5 m1.0 m0.15 m0.75 m4. A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence-posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?120 m, 16100 m, 15120 m, 15100 m, 165. A cylindrical container of radius 10cm and height 20cm is filled to the brim with water. A steel ball of radius 6cm is now dropped into the cylinder so that excess water flows out. How much water is left in the container?288π cm32,000π cm32,288π cm31,712π cm36. The figure shows a rectangle of dimensions 3x by 2x. The shaded portion of uniform width 2 cm, has an area of 64 cm². Find the value of x7 cm4 cm6 cm8 cm7. Consider a cylinder of height h cm and radius r=2πr=2π cm as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of n turns (in other words, the string’s length is the minimum length required to wind n turns). The same string, when wound on the exterior four walls of a cube of side n cm, starting at point C and ending at point D, can give exactly one turn (see figure, not drawn to scale). The length of the string is√2n cm√17n cmn cm√13n cm8. Find the circumference of a circular disk whose area is 100 π square centimeters22π19π20π24π9. An arc of a circle of radius 5.6 cm subtends an angle of 45° at the center of the circle. If π = 22/7, the length of the arc is6.0 cm2.2 cm4.4 cm8.8 cm10. A string of length 66 cm is shaped into an arc of a circle of radius 28 cm. The angle of the sector is90 degrees45 degrees120 degrees135 degrees11. Two triangles have the same area ifthe three angles of one are equal to the three angles of the otherthey are similarthey lie between the same parallelsthe three sides of one are equal to the three sides of the other12. A solid cone of metal of radius r and height h cm is melted into a cube of length a. If h + r = 10 cms, and the volume of the cube formed is maximum then the radius of the cone in cms is5/310/320/3513. The total surface area of a cone of base radius 3 cm and height 4 cm istake (π = 22/7)37 5/7 cm266 cm2103 5/7 cm275 3/7 cm214. If the sides of each square is 10. Find the area of shaded region10015758015. Three identical cones with base radius r are placed on their base so that each is touching the other two. The radius of the circle drawn through their vertices is [1] smaller than rlarger than requal to rdepends on the height of the conesmaller than r16. The angle of a sector of diameter 12 cm is 75°. Find the area of the sector82/7 cm²176/7 cm²129/7 cm²165/7 cm²17. Rectangular tiles each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm, such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is475618. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be87.585.592.590.519. One of the sides of a rectangle measures 5 cm and the diagonal is 13 cm long. The area of the rectangle is32.5 cm230 cm265 cm260 cm220. Water flows at the rate of 10 metres/minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cms and depth 24 cms?55 min52 min51 min48 min21. In the diagram, PQR and RST are two semicircles with diameters 7 cm and 3.5 cm respectively and PT = 3.5 cm respectively and PT = 3.5 cm.The perimeter of the figure is23.5 cm14 cm16.5 cm20 cm22. If a cube of maximum possible volume is cut off from a solid sphere of diameter d, then the volume of the remaining (waste) material of the sphere would be equal toπ - dd³/3 (π/2 - 1/√3)d³/3 (π - d/2)d³/4 (√2 - π)23. The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is12691/624. In the figure, PQ and RS are two concentric arcs, center O. If the ratio of the lengths of the arcs is 1:4, the ratio of the areas of sector OPQ to ORS is1:41:161:83:1625. In a trapezium PQRS, PQ//SR, |PQ| = 5 cm, |SR| = 7 cm and the trapezium has an area of 24 cm². The area of the triangle PQS is10 cm²14 cm²16 cm²12 cm²26 out of 25Time is Up!