Powerpoint presentation MATH 6 Q3 Week 1

Mathematics 6

1. MATH Solid Figure – Cube, Prism, Cylinder, Sphere, Pyramid, and Cone QUARTER 3 WEEK 1 DAY 3

2. Have you seen donuts ? Is it taste good? Can you identify what shape the donut is? Can you identify the shape of these two pictures?

3. At the end this lesson, we will answer these questions. 1. What are solid figures? 2. What are the different types of solid figures? 3. How do you describe the different types of solid figures? 4. How do you differentiate solid figures from plane figures?

4. • Solid figures are also called space figures or spatial figures. They are three- dimensional figures because they have length, width, and height or thickness. Some solid figures have flat surfaces (polyhedron) and some have curved surfaces (non-polyhedron). Cube and prism are examples of polyhedron. • A prism is a solid figure with two faces that are both parallel and congruent while therest of the faces are rectangles or parallelograms. • A prism can be named according to the shape of its base.

5. Figure 1 shows a cube. A cube is a polyhedron with 6 faces that are congruent squares. It has 8 vertices and 12 edges. The edges have equal length. The faces are the flat surfaces The edges are the line segments where the faces meet or intersect. The vertices are the points where edges meet. Some examples of cubes in the real world are the following:

6. Figure 2 shows a rectangular prism. It has 6 faces, 12 edges and 8 vertices. A rectangular prism is bounded by rectangles and its corners are right angles. Some examples of rectangular prism are the following:

7. Figure 3 shows a triangular prism. It is composed of two triangular bases and three rectangular lateral faces. It has 5 faces, 9 edges and 6 vertices. Some examples of triangular prism are the following:

8. Figure 5 shows hexagonal prism. It is a prism with hexagonal bases. It has 8 faces, 18 edges and 12 vertices. Some examples of hexagonal prism are bolt heads and hardware nuts.

9. Let’s Try: Identify the following figure.

10. POINTS TO PONDER: • Solid figures are made up of three dimensions namely: length, width and thickness or height . • Prisms are examples of solid figures. • Cube is a prism with a square base and all its faces are square. It has 6 faces, 12 edges and 8 vertices. • Rectangular prism is composed of two rectangular bases and four rectangular lateral faces . It has 6 faces, 12 edges and 8 vertices. • Triangular prism is composed of two triangular bases and three rectangular lateral faces . It has 5 faces, 9 edges and 6 vertices. • Pentagonal prism has two pentagonal bases and five rectangular lateral faces. It has 7 faces , 15 edges and 10 vertices. • Hexagonal prism is a prism with hexagonal base. It has 8 faces, 18 edges and 12 vertices .

11. Directions: Encircle the letter of the best answer. 1. It is composed of two triangular bases and three rectangular lateral faces. A. Cube B. Pentagonal Prism C. Rectangular Prism D. Triangular Prism 2. It has two pentagonal bases and five rectangular lateral faces. A. Cube B. Pentagonal Prism C. Rectangular Prism D. Triangular Prism 3. A prism is named according to the shape of its _____________. A. base B. edge C. face D. vertex 4. Hexagonal prism has ____________ edges. A. 6 B. 8 C. 12 D. 18 5. A prism which has 6 faces, 12 edges and 8 vertices with all of its faces are square is a ___ A. Cube B. Pentagonal Prism C. Rectangular Prism D. Triangular Prism

12. Complete the table.

13. MATH Importance And Methods Of Enhancing / Decorating Bamboo, Wood, And Metal Products QUARTER 3 WEEK 1 DAY 4

14. How many sides does triangle have? Have you ever seen a 3D triangle?

15. A pyramid is a polyhedron with only one base, which is a polygon and has triangular faces, which are called lateral faces. • Similar to prisms, pyramids are also named according to the shape of its base . • The faces of a pyramid intersect at the edges and the edges intersect at the vertices . • The number of triangular faces in a pyramid depends on the number of sides of the base. A pyramid has at least three lateral faces. • The segment from the common vertex of a pyramid which is perpendicular to the base is the height of the pyramid. • A non-polyhedron is a solid figure that has curved surfaces. • A cylinder is a non- polyhedron. It has two circular bases that are parallel and congruent joined by curved lateral faces.

16. Figure 1 shows a triangular pyramid. The base is a triangle and it is made up of 4 faces, 6 edges and 4 vertices.

17. Figure 2 shows a square pyramid. The base is a square and it is composed of 5 faces ( 1 square and 4 triangles), 8 edges and 5 vertices. The Egyptian pyramids in Giza are great examples of square pyramids.

18. Figure 3 shows rectangular pyramid. The base is a rectangle. It has 5 faces (1 rectangle and 4 triangles), 8 edges and 5 vertices.

19. Figure 4 shows a pentagonal pyramid. The base is a pentagon. It has 6 faces ( 1 pentagon and 5 triangles), 10 edges and 6 vertices.

20. Figure 5 shows a cylinder. A cylinder is an example of a non-polyhedron solid figure. It has two circular bases that are parallel and congruent joined by curved lateral faces. It has no edge and no vertex. Some examples of objects that represent cylinder are the following:

21. Directions: Encircle the correct word to make the statement true. 1. The lateral faces of a pyramid are (triangles, parallelograms). 2. A pyramid is named according to the shape of its (base, face). 3. A (rectangular pyramid, pentagonal pyramid) has 5 faces, 8 edges and 5 vertices. 4. A cylinder is a (polyhedron, non-polyhedron) solid figure. 5. A pentagonal pyramid has 6 faces, (8 edges, 10 edges) and 6 vertices.

22. Analyze the statement below. Draw a  in the blank if the statement is true or a  if it is false. 1. A cube is a prism. 2. The cube has seven congruent faces. 3. A shoebox is an example of rectangular prism. 4. A cone has two bases. 5. All faces of a pyramid are rectangular.

23. Solve each of the following problem: 1. A decagon is a ten-sided polygon. How many faces, edges, and vertices will a pyramid with a decagonal base have? Illustrate the figure.

24. MATH Weekly Test QUARTER 3 WEEK 1 DAY 5

25. Instruction: Identify each of the following: 1. Line Segment from the vertex perpendicular to the base of righ pyramid or right cone _______________________________. 2. Intersection of two faces _______________________________. 3. Edge of the lateral faces _______________________________. 4. Figures with no lateral faces _______________________________. 5. How many polygons make up the pyramid? 6. The polygon on which the polyhedron stands appears to be a _______________________________. Instruction: Analyze the statement below. Draw a  in the blank if the statement is true or a  if it is false. 7. A sphere has no face. 8. The bases of cylinder are made up of circle. 9. All faces of pyramid are rectangular. 10. A cylinder may have a base other than a circle.