Math 8 Review chapter 4: Vertical prism. Regular pyramid 1. Theoretical Summary 1.1. Rectangular Define: A rectangular box is a space shape with 6 faces that are all rectangles. A rectangular box has 6 faces, 8 vertices, and 12 edges. The two faces facing each other are considered to be the base of the rectangular box, the other faces are called … [Read more...] about Math 8 Review chapter 4: Vertical prism. Regular pyramid

# Math Lesson 8

## Math 8 Chapter 4 Lesson 9: Volume of a regular pyramid

Math 8 Chapter 4 Lesson 9: Volume of a regular pyramid 1. Theoretical Summary Formula for volume: The volume of a regular pyramid is one-third the area of the base times the height \(V = \dfrac{1}{3} .Sh\) \(S\): bottom area \(h\): height 2. Illustrated exercise 2.1. Exercise 1 Figure 129 is a student summer camp tent with dimensions. a) … [Read more...] about Math 8 Chapter 4 Lesson 9: Volume of a regular pyramid

## Math 8 Chapter 4 Lesson 8: Area around a regular pyramid

Math 8 Chapter 4 Lesson 8: Area around a regular pyramid 1. Theoretical Summary We usually use the following formulas: - The perimeter of a regular pyramid is equal to the product of the semicircle of the base and the midpoint. \({S_{xq}} = pd\) (p is the half circumference of the base; d is the midpoint of the regular pyramid). - The total area of … [Read more...] about Math 8 Chapter 4 Lesson 8: Area around a regular pyramid

## Math 8 Chapter 4 Lesson 7: Regular pyramids and regular truncated pyramids

Math 8 Chapter 4 Lesson 7: Regular pyramids and regular truncated pyramids 1. Theoretical Summary 1.1. Pyramid – The base is a polygon, the sides are triangles that share a vertex. The line that passes through the top and is perpendicular to the plane of the base is called the altitude. 1.2. Regular pyramid A regular pyramid is a pyramid whose … [Read more...] about Math 8 Chapter 4 Lesson 7: Regular pyramids and regular truncated pyramids

## Math 8 Chapter 4 Lesson 6: Volume of a vertical prism

Math 8 Chapter 4 Lesson 6: Volume of a vertical prism 1. Theoretical Summary Formula for volume The volume of a vertical prism is equal to the area of the base times the height \(V = S. h\) \(S\): bottom area \(h\): height 2. Illustrated exercise 2.1. Exercise 1 Observe the vertical prisms in figure 106 Compare the volume of a triangular … [Read more...] about Math 8 Chapter 4 Lesson 6: Volume of a vertical prism

## Math 8 Chapter 4 Lesson 5: Surrounding area of a vertical prism

Math 8 Chapter 4 Lesson 5: Surrounding area of a vertical prism 1. Theoretical Summary 1.1. Surrounding area The surrounding area of a vertical prism is equal to the sum of the areas of the sides or the perimeter of the base times the height. \({S_{xq}} = 2p.h\) \(p\) is the half circumference of the base, \(h\) is the height 1.2. Total … [Read more...] about Math 8 Chapter 4 Lesson 5: Surrounding area of a vertical prism

## Math 8 Chapter 4 Lesson 4: Vertical Prism

Math 8 Chapter 4 Lesson 4: Vertical Prism 1. Theoretical Summary 1.1. Basic knowledge The figure on the side is called a vertical prism. In this picture: + \(A, B, C, D, {A_1},{B_1},{C_1},{D_1}\) are vertices. \(AB{B_1}{A_1},BC{C_1}{B_1}\)... are rectangles, called side faces. + \(A{A_1};B{B_1};C{C_1};D{D_1}\) are parallel to each other and equal, … [Read more...] about Math 8 Chapter 4 Lesson 4: Vertical Prism

## Math 8 Chapter 4 Lesson 3: Volume of a rectangular box

Math 8 Chapter 4 Lesson 3: Volume of a rectangular box 1. Theoretical Summary 1.1. The line is perpendicular to the plane. Two perpendicular planes a) The line is perpendicular to the plane – The line d is said to be perpendicular to the plane ( P ) if the line d is perpendicular to two intersecting lines lying in the plane ( P ). The symbol d ⊥ ( P … [Read more...] about Math 8 Chapter 4 Lesson 3: Volume of a rectangular box

## Math 8 Chapter 4 Lesson 2: Rectangle (continued)

Math 8 Chapter 4 Lesson 2: Rectangle (continued) 1. Theoretical Summary 1.1. Two parallel lines in space In space, two lines \(a\) and \(b\) are said to be parallel if they lie in the same plane and have no common point. With two distinct lines \(a\) and \(b\) in space they can: intersect; parallel; diagonal (not in the same plane) Two distinct … [Read more...] about Math 8 Chapter 4 Lesson 2: Rectangle (continued)

## Math 8 Chapter 4 Lesson 1: Rectangle

Math 8 Chapter 4 Lesson 1: Rectangle 1. Theoretical Summary 1.1. Rectangular Define: A rectangular box is a space shape with 6 faces that are all rectangles. A rectangular box has 6 faces, 8 vertices, and 12 edges. The two faces facing each other are considered to be the base of the rectangular box, the other faces are called the side 1.2. … [Read more...] about Math 8 Chapter 4 Lesson 1: Rectangle