Chapter 10

Olivia D

Section 1 Vocabulary

Base of Parallelogram- The length of any of its sides

Height of Parallelogram- The perpendicular distance between the base and the opposite side

Base of Trapezoid- The trapezoids two parallel sides.

Height of Trapezoid- The perpendicular distance between the bases

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Section 2 Vocabulary

Area- The number of square units covered by a figure

Radius- The distance between the center and any point on the circle

Diameter- The distance across the circle through the center

Circumference- The distance around a circle

Circle- The set of all points in a plane that are the same distance, called the radius, from a fixed point, called the center.

Pi- The ratio of the circumference of a circle to its diameter

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Section 3 Vocabulary

Solid- A 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. Prisms have two congruent bases that lie in parallel planes. The other faces are rectangles. A cube is a prism with six square faces.

Pyramid- A polyhedron. Pyramids have one base. The other faces are triangles

Cylinder- A solid with two congruent circular bases that lie in parallel planes.

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- Segments where faces of a polyhedron meet

Vertex- A point where three or more edges meet

Section 4 Vocabulary

Net- A two-dimensional pattern that forms a solid when folded

Surface Area- The sum of the areas of its faces on a polyhedron

How to Find the Area of a Rectangular Prism

Surface Area of a Rectangular Prism

Section 5 Vocabulary

Slant Height- On a regular pyramid is the height of the lateral face, that is any face that is not a base.

How to find Surface Area of Pyramid

Surface Area Of A Pyramid

Section 6 Vocabulary

Volume of Solid- A measure of the amount of space it occupies, measured in cubic units

How to Find the Volume of Cones and Pyramids

Volume of Cones and Pyramids 128-4.14

Formulas Chapter 10

Area of Parallelogram: A=bh
Area of Trapezoid: A=1/2(b1+b2)h

Area of Circle: A=pi*rsquared

Surface Area of a Prism: 2B+Ph

Surface Area of a Cylinder: 2B+Ch = 2*pi*radiussquared + 2*pi*r*h

Surface Area of a Pyramid: B+1/2Pl

Surface Area of a Cone: pi*rsquared + pi*r*l

Volume of a Prism: Bh

Volume of a Cylinder: Bh = pi*rsquared*h

Volume of a Pyramid: 1/3Bh

Volume of a Cone: 1/3Bh = 1/3*pi*rsquared*h

Volume of a Sphere: 4/3*pi*radius3rd

What Does Each Symbol Mean?

A: area

b: base

h: height

1/2: half

b1: base1

b2: base2

pi: pi; 3.14

*: multiply

r: radius

squared: squared

2: multiply by 2

B: area of base

P: perimeter of base

C: circumference

l: length