A math test on geometry in space (pyramids and cones of revolution) in eighth grade is very beneficial. Indeed, the chapter on geometry in space allows students to develop new skills. In this way, they will learn a simple and interesting method of solving. This chapter also requires the use of appropriate materials to properly process the exercises. In this chapter we find the pyramids and cones. In order to do the calculations related to this chapter, you will need to use and master the properties and methods of calculation.
Always learn your lessons well and repeat some of the exercises so that you can get a good grade after the test on that chapter.
Exercise 1
A cone of revolution has the following dimensions: the base diameter is 5 cm, the height is 15 cm. What is the volume of the cone?
Exercise 2
The pyramid of Cheops is regular, with a square base. The sides of the base measure 230 m, its height is 140 m. Calculate the volume of this pyramid.
Exercise 3
Two containers have the same volume.
- One has the shape of a cylinder of height 10 cm and base radius 6 cm.
- The other has the shape of a cone with a radius of 6 cm.
- What is the volume of the cylindrical container?
- What is the height of the conical container?
Exercise 4
The rectangular parallelepiped below has the following dimensions:
AB = 1.5 cm; AE = 2.5 cm; EH = 2 cm.
- What is the nature of solid ABDE?
- Calculate the volume of this solid ABDE.
Exercise 5
In a paper disk of 5 cm radius, we cut a sector of 144°. We form a cone with the remaining part.
What is the volume of this cone in cm3, among the following propositions :
; ; ; ; .
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