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question_answer1) If the area of the three adjacent faces of the room is p, q , r respectively, then the volume of air in the room is:
question_answer2) Find the volume of the figure given below:
question_answer3) We know that the surface area and volume of any figure depend on its dimensions. If we change the dimension of the figure there is corresponding change in the surface area and volume of the figure. There is a cubical box of certain length, if we increase the length of the cube by 40%, what will be the corresponding change in the surface area of the cube?
question_answer4) Three cubes of metal with edges 3 cm , 4 cm and 5 cm respectively are melted to form a single cube. Find the lateral surf ace area of the new cube formed.
question_answer5) A tool is made up of a cone on top of a cylinder as shown in the figure below. The cylinder has a height of 15 cm and a radius of 5 cm. The volume of the cone is 100 ncm3. If 0 is the vertex of the cone and AB is the diameter of the base of the cone and C its centre. Points 0, A, B and C are in the same plane. Calculate the lateral surface area of the tool.
question_answer6) Peter is a farmer and wants to buy a field which is in the shape of trapezium. Its side along the river is parallel to the river bank and twice the side along the road. If the area of the field isand the perpendicular distance between the two parallel sides is 100 m, the length of side along the river is:
question_answer7) The external diameter of an iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the total surface area of the pipe.
question_answer8) A cylinder is open at both ends and is made of 1.5 cm thick metal . Its external diameter is 12 cm and height is 84 cm. What is the volume of metal used in making the cylinder?
question_answer9) The length of metallic tube is one meter. Its thickness is 1 cm and its internal diameter is 12 cm. Find the weight of the tube if the density of the metal is 7.7 grams per cubic cm.
question_answer10) A hollow garden roller whose external diameter is 42 cm and has a length of 132 cm is made of 2 cm thick cast iron. Find the weight of the roller if of iron weight 10 grams.
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