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.
