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Sebastian Enriquez. Square Parallelogram & Rectangle: B*H Triangle: ½ B*H Trapezoid: ½ (B1+B2)H Kite & Rhombus: ½(D1)(D2) 3 5 Area= 15 5 5Area =25 25.

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Presentation on theme: "Sebastian Enriquez. Square Parallelogram & Rectangle: B*H Triangle: ½ B*H Trapezoid: ½ (B1+B2)H Kite & Rhombus: ½(D1)(D2) 3 5 Area= 15 5 5Area =25 25."— Presentation transcript:

1 Sebastian Enriquez

2 Square Parallelogram & Rectangle: B*H Triangle: ½ B*H Trapezoid: ½ (B1+B2)H Kite & Rhombus: ½(D1)(D2) 3 5 Area= 15 5 5Area =25 25 3 Area=75

3 Basically a composite figure is that which is made up of two or more different figures (ex: square and triangle). To find the area of a composite figure you find the area of each shape individually and then add up the area of the two shapes.

4 10 20 3 5 Total Area: 207.5 10 5 8 Total Area= 158.5 27 35 40 Total Area= 2990

5 Finding the are of a circle is a simple task you only have to use the formula πr^2 24 Area=12 π or 452 36 Area= 36 π or 4071 40 Area= 40 π or 5026

6 A solid is a 3D figure which can be made up of flat or round faces. The flat face in a solid is known as a face, the segment which intersects two faces is known as the edge and point where three or more faces intersect is the vertex.

7 = =

8 A prism is a solid which has two end faces which are similar, equal and parallel and that has sides which are parallelograms. A net is how the faces of a prism are organized so that when you connect them you get the 3D figure. To find the Surface Area of a prism you need to do Perimeter x Height + 2B. To find the volume of a prism you need the volume of the prism x Height.

9 2πr^2+2πr(H) is the formula used to find the surface area of a cylinder. To find the volume of a cylinder you need this formula: πr^2(H)

10 25 10 Surface Area= 2198 Volume= 7853 6 9 Surface Area= 847 Volume= 1526 12 6Surface Area= 678 Volume= 1357

11 To find the surface area of a pyramid you have to use the following formula: (base area) + ½ (Perimeter) x slant length. A pyramid is a three dimensional figure where all the faces except for the base are triangles and converge at one point known as the apex. Volume of a pyramid is equal to: 1/3Area of the base x Height

12 Surface Area= 261 Volume= 33 8 8 12.33 2.2 3.1 Surface Area= 19 Volume=3 30 26 Surface Area= 390 Volume=260

13 To find the surface area of a cone you have to find the area of the cone π r s and the surface area of the base which is πr^2, then the whole formula is πrs+ πr^2. To find the volume of a cone you need to do: 1/3(Area of Base)(Height)= 1/3πr^2h

14 6 15 Surface Area= 395 Volume= 565 3.5 5.6 Surface Area= 100 Volume=72 7 12Surface Area= 263 Volume= 615

15 To find the volume of a cube you multiply width*length*height. Width= 25 Height=25 Length=25 Volume=15625 Width= 33 Height=33 Length=33 Volume=35937 Width= 1.5 Height=1.5 Length=1.5 Volume=3.375

16 Cavalieri’s principle states that if two regions in a solid are parallel and there’s any planes that are parallel and intersect both regions, then the two regions have equal volume.

17 15 cm They have the same height therefore they’re equal

18 To find the surface area of spheres you need to do: 4π(r^2) To find the volume of a sphere you need to do: 4/3π (r^3)

19 5 Surface Area= 314 Volume= 500 8 Surface Area= 804 Volume= 2048 8 Surface Area= 201 Volume=256


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