Mathematics 2 ESO – Unit 11 AREAS AND VOLUMES page 117 – activity 71 a) Watch the video on “Volume” and answer: I) What type of objects have volume? II) How many dimensions has a line segment? III) Why the cube in the video has a volume of 1 cubic centimetre? IV) What is the “surface area” of a 3-D object? V) How can we get the 3-D shape called “triangular prism”? VI) Why we can’t call the cylinder “circular prism”? VII) Calculate the volume of a 10 cm x 6 cm x 5 cm rectangular prism. VIII) Calculate the volume of this cylinder: r = 2 m ; length = 10 m b) In geometry, what is a “solid”? c) A rectangular prism is 2 m long. Calculate the base area and the total area if the sides of the base are: I) 20 cm and 8 cm II) 10 cm and 8 cm III) 3 km and 2 km IV) 5 mm and 2 cm d) We want to construct a pyramid. The height is 200 metres. The side of the base is 250 metres. I) What volume of stone do we need? II) And if we make it to the same height but a side of the base of 159 metres? e) The height of a cylinder is 264 mm and the radius of its base is 8 mm. I) Calculate its area. II) Calculate its volume. f) The height of a cone is 26 cm and the radius of its base is 10 cm. I) Calculate its area. II) Calculate its volume.