Sebastian Enriquez

Square Parallelogram & Rectangle: B*HTriangle: ½ B*HTrapezoid: ½ (B1+B2)HKite & Rhombus: ½(D1)(D2)

3

5

Area=15

5

5Area=25

25

3

Area=75

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.

10

20

3

5

Total Area: 207.5

10

5 8

Total Area= 158.5

27

3540

Total Area= 2990

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

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.

=

=

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.

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)

25

10

Surface Area= 2198

Volume= 7853

6

9 Surface Area= 847

Volume= 1526

12

6 Surface Area= 678

Volume= 1357

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

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

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

6

15Surface Area= 395

Volume= 565

3.5

5.6Surface Area= 100

Volume=72

7

12 Surface Area= 263

Volume= 615

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= 1.5Height=1.5Length=1.5Volume=3.375

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.

15 cm

15 cm

They have the same height therefore they’re equal

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)

5

Surface Area= 314

Volume= 500

8

Surface Area= 804

Volume= 2048

8

Surface Area= 201

Volume=256