Chapter 10
Jack W.
Vocab
section 1:
Base of a parallelogram-The length of any one of its sides
height of a parallelogram-The perpendicular distance between the base and opposite side
bases of a trapezoid-It's two parallel sides
height of a trapezoid-The perpendicular distance between the bases
Section 2:
circle-the set of all points in a plane that are the same distance from a fixed point called the center
radius-the distance from the center to any point on a circle
diameter-The distance across the circle through the center
circumference-The distance around a circle
pi-3.14
Area-The amount of surface that a figure covers
Section 3:
solid-Three dimensional figure that encloses a part of space
polyhedron-A solid that is enclosed by polygons
face-The polygons that form a polyhedron
prism-A polyhedron with rectangle faces and two bases
pyramid-Polyhedron with one base and triangular faces
cylinder-A solid with two congruent circular bases
cone-A solid with one circular base
sphere-A solid formed by all points in space that are the same distance from a fixed point called the center
edge-The segments where faces of a polyhedron meet
vertex-A point where three or more edges meet
Section 4
net-A two dimensional pattern that forms a solid when it is folded
surface area-The sum of the area of its faces
Section 5:
slant height-The height of a lateral face
Section 6:
Volume-A measure of the amount of space it occupies
Section 1
Area of trapezoid: 1/2*(b1+b2)*h=A
Section 2
Circumference of a circle: C=2pi r
Section 4
The surface area of a prism is the sum of twice the area of a base, B, and the product of the bases perimeter, p, and the height, h.
Surface area of a cylinder: S=2B+Ch=2pi r to the second power+2pi rh
B (pi r to the second power)
The surface area of a cylinder is the sum of twice the area of the base, B, and the product of the bases circumference, C, and the height, h.
Section 5
The surface area of a pyramid is the sum of the area of the base and one half the product of the base perimeter,p and the slant height, l.
To find slant height, use Pythagorean theorem
Surface area of a cone: S=pi r to the second power+pi rl
The surface area of a cone is the sum of the area of the circular base with the radius, r, and the product of pi, the radius r of the base, and the slant height l.
Section 6
Volume of a rectangular prism: V=B*h (l*w*h)
Volume of triangular prism: V=B*h (1/2*b*h)*h
Volume of Cylinder: V= B*h (pi*r to the second power*h)
Section 7
Volume of Sphere: V=4/3 pi r to the 3rd power
Volume of a cone: V= 1/3 pi r to the second power h
Practice Problems
Surface area of a pyramid:
B=64m
P=32m
l=7.2m
Volume of a cone:
radius=3m
height=7m
Volume of a triangular prism:
Height=12ft
Area of base=6.2ft
Area of a trapezoid:
base=12.3m
Height=7.5m
Surface area of a cylinder:
Diameter= 8cm
Height= 10.7cm