Chapter 10
Brandon T
10.1 - Finding the area of Parallelograms and Trapezoids!
A = 1/2(b1 + b2)h
Practice
b1 = 15
b2 = 8
h = 9
A = ?
15 * 9 = 135
8 * 9 = 72
1/2(135 + 72)
67.5 + 36 = 103.5
A = 103.5
Area for a Parallelogram
A = bh
Practice:
b = 5
h = 7
A = ?
5 * 7 = 35
A = 35
10.2 - Finding the area of a circle!
A = pi * r2
Practice:
r = 7
3.14 * 7 * 2 = 43.96
A = 43.96
10.3 - Three-Dimensional Figures!
Pyramid - A polyhedron that has 1 base and the faces are triangles
Cylinder - NOT a polyhedron but has 2 congruent circular bases
Cone - NOT a polyhedron but has 1 circle base
Sphere - NOT a polyhedron but is formed by all points in space that are the same distance from a fixed center
10.4 - Finding surface areas of prisms and cylinders!
Use a net to find out the area of all the faces and then add them up
Surface area for a prism
S = 2B + Ph
B = The area of the base
P = The perimeter of the base
Practice:
B = 56
P = 64
h = 7
2 * 56 = 112
64 * 7 = 448
448 + 112 = 560
A = 560
Surface area for a cylinder
2pi * r2 + 2pi * rh
Practice:
r = 5
h = 7
2 * 3.14 = 6.28
6.28 * 5 * 2 = 62.8
6.28 * 5 * 7 = 219.8
219.8 + 62.8 = 282.6
A = 282.6
10.5 - Finding the Surface area of cones and pyramids!
S = B + 1/2Pl (LOWERCASE L)
Practice:
B = 32
P = 23
l = 7
23 * 7 / 2 = 80.5
32 + 80.5 = 112.5
A = 112.5
Surface area for a cone
S = pi * r2 + pi * rl
l = slant height
Practice:
r = 5
l = 5
3.14 * 5 * 2 = 31.4
3.14 + 5 * 5 = 28.14
28.13 + 31.4 = 59.54
A = 59.54
10.6 - Finding the Volume for Prisms and Cylinders!
Volume for a Prism
V = length*width*heightVolume for a Cylinder
V = pi * r2h
10.7 - Finding the Volume for Pyramids and Cones!
V = 1/3 * Bh
Volume for a Cone
V = 1/3 * pi * r2h