Welcome to your Mensuration(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The semicircle of area 1250 π centimeters is inscribed inside a rectangle. The diameter of the semicircle coincides with the length of the rectangle. Find the area of the rectangle120050001200030002. An open, rectangular wooden box of internal depth 40 cm has a base of internal dimensions 50 cm by 30 cm. If the box is made of wood of thickness 1 cm, find the cost to the nearest dollar of painting the box if it costs $100 to paint one square meter$ 86$ 102$ 600$ 8553. A square tile measures 20 cm by 20 cm. How many of such tiles will cover a floor measuring 5m by 4m3205004002504. 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 is14 cm16.5 cm23.5 cm20 cm5. 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, 166. Find the total surface area of a closed cylindrical container with radius 5 cm and a height of 34 cm.130π sq. cm220π sq. cm320π sq. cm390π sq. cm7. What fraction of the area of a regular hexagon is the area of regular hexagon obtained by joining the midpoints of the sides of the first hexagon in order?1/22/31/43/48. 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 tod³/3 (π/2 - 1/√3)d³/4 (√2 - π)π - dd³/3 (π - d/2)9. Find the area of the shaded region in the given figure of square ABCD148 cm²128 cm²192 cm²128 cm²10. The ratio of the heights of two circular cylinders is 1 : 3 and the ratio of their base radii is 5 : 4.The ratio of their volumes is25:485:3675:1645:411. In the above diagram, ∠ABC=90∘=∠DCH=∠DOE=∠EHK=∠FKL=∠GLM=∠LMN∠ABC=90∘=∠DCH=∠DOE=∠EHK=∠FKL=∠GLM=∠LMN AB = BC = 2CH = 2CD = EH = FK = 2HK = 4KL = 2LM = MN The magnitude of ∠FGO = What is the ratio of the areas of the two quadrilaterals ABCD to DEFG?7:121:212:72:112. If the sides of each square is 10. Find the area of shaded region75100801513. One of the diagonals of a rhombus is 15 cm long. If the rhombus has an area of 60 cm², the length of the other diagonal is12 cm4 cm5 cm8 cm14. 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 cm8 cm4 cm6 cm15. An arc of length 22 cm subtends an angle of 270° at the center of the circle.If π = 22/7, the radius of the circle is4 2/3 cm6 cm9 1/3 cm7 cm16. A cone of height 12 cm has a volume of 330 cm³. The volume of a cone wih the same radius but of height 8cm is300 cm3146 2/3 cm3220 cm3270 cm317. A piece of string is wound uniformly around a triangular prism ABCDEF, of an equilateral base. The thread starts from the corner A at the base and ends at the corner D of the top, as shown in the figure. If there are total 14 rounds of string and the side of the base and the height of the prism are 2 cm and 13 cm respectively, then find the length of the string.87 cm97 cm84 cm85 cm18. Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m^{2} at the centre. Find the ungrazed area.168 m²42 m²84 m²22 m²19. Find the edge of the cube that can be inscribed in a cone with base diameter 12 cm and height 8 cm.224/ 2√24.824/ 2√2+320. The radius of a cone is √22 times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?2.25π2.351.453.18π21. The angle of a sector of a circle of radius 4.2 cm is 150°. If π 22/7, the perimeter of the sector is11 cm16.8 cm19.4 cm15.2 cm22. There is a vast grassy farm in which there is a rectangular building of the farmhouse whose length and breadth is 50 m and 40 m respectively. A horse is tethered at a corner of the house with a tether of 80 m long. What is the maximum area that the horse can graze?245π5425π254π5245π23. PQRS is a parallelogram and ST is perpendicular to QR. If the area of triangle PSR is 25 cm² and|PS| = 10 cm, the length ST is 5 cm10 cm2.5 cm7.5 cm24. A parallelogram of area 425 cm² has a height of 17cm. The length of the base is50 cm20 cm25 cm12.5 cm25. The surface area of a sphere of radius 3.5 cm is take (π = 22/7)308 cm2616 cm2179 2/3 cm2154 cm226 out of 25Time is Up!