Welcome to your Surface Areas and Volumes of Solid Shapes(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Small spheres, each of radius 2cm, are made by melting a solid iron ball of radius 6cm, then the total number of small spheres is: 6 27 9 81 2. The number of silver coins, 2 cm in diameter and of thickness 2 mm, is required to melt and form a cuboid of dimension 5 cm X 10 cm X 3 cm is: 650 coins 700 coins 800 coins 750 coins 3. A cylinder has radius 14cm and length 10cm. find its curved surface area 220cm² 280cm² 1760cm² 880cm² 440cm² 4. A solid sphere of radius r cm is melted and recast into the shape of solid cone of height r. The radius of the base of the cone is: 4r 3r 2r R 5. Which of the following is true of a cube? All the faces are the parallel to one another It has 12 equal edges It has six vertices It has eight equal faces All edges are parallel to one another 6. What is the formula for the surface area of a rectangle? All of the above Base x height 3x lbh 2x lw +2xwh + 2lh 7. What would be the side of a cube of same volume as that of cuboid of 225 m3? 15.5 m 16.5 m 15 m 14.5 m 8. If a cone is cut into two parts by a horizontal plane passing through the mid-point of the axis, then the ratio of the volumes of the small cone to that of the original cone is 1 : 16 1 : 2 1 : 4 1 : 8 9. What is the shape of the plane face of a cylinder? Triangle Circle Square Rectangle 10. Given a cylinder with a radius of 5 and a hight of seven, what is the surface area? 376.8 units squared 157 units squared 219.8 units squared 298.3 units squared 11. How many faces has a triangular prism? 3 4 6 5 12. The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is: 50 cm 38.93 cm 26.46 cm 60.96 cm 13. Find the volume of a sugar cube if one of its sides is 3m. 3 m³ 27 m³ 9 m³ 6 m³ 81 m³ 14. What is the surface area of the cyliner? 804.25 96 1005.31 2412.74 15. What is the surface area of the cone below? 742.42 703.72 1340.41 3446.4 16. The ratio of the radii of two cylinders whose heights are equal is 2 : 3. If the volume of the smaller cylinder is 32cm2, find the volume of the bigger one. 81cm³ 72cm³ 108cm³ 27cm³ 17. What is the surface area of a rectangular prism that is 1 cm. by 2 cm. by 3 cm.? 15 sq. cm. 25 sq. cm. 22 sq. cm. 6 sq. cm. 18. How many edges has a cube? 8 16 10 12 19. What is the volume of the cone below? 703.72 742.42 3446.4 1340.21 20. A cylinder, a cone and a hemisphere are of the same base and of the same height. The ratio of their volumes is: 3 : 1 : 2 3 : 2 : 1 1 : 2 : 3 2 : 1 : 3 1 out of 20 Time is Up! Time's up