Chapter 10

By: Grace W.

Section 1 - Areas of Parallelograms and Trapezoids


*Base of a parallelogram - is the length of any one of its sides.

*Height of a parallelogram - the perpendicular distance between the base.

*Base of a trapezoid - are two parallel sides.

*Height of a trapezoid - the perpendicular distance between the bases.

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Parallelogram - A=b*h

Trapezoid - A=1/2 (b1+b2)h

Section 2 - Areas of Circles


Area - The number of square units covered by a figure.

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

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

Diameter- The distance across the circle through the center point.

Circumference- The distance of a circle.

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

The Circle Song


A = Pi*R^2

Section 3 - Three-Dimensional Figures

Real life...

In real life you would need to know how big the truck is to see how many items can fit in.
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Section 4- Surface Areas of Prisms and Cylinder

Vocab all

Solid - A three-dimensional figure that encloses a part of space.

Face - A polygon that is a side of the polyhedron.

Polyhedron- A solid that is enclosed by polygons.

Prism - A solid, formed by polygons, that has two congruent bases lying in parallel planes.

Pyramid- A solid formed by polygons, that has one base. The base can be any polygon, and the other faces are triangles.

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

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- A line segment where two faces of a polyhedron meet.

Vertices- A point at which three or more edges of a polyhedron meet.

Net-is a two dimensional pattern that forms a solid when it is folded






voulme of a prism-V=Bh

volume of a cylinder-v=Bh---3.14(r^2)h

Surface Area of a prism-S=2B+Ph

Surface Area of a cylinder-2(3.14)r^2+2(3.14)rh

Surface area of cone-S=3.14(r^2)+3.14(rl)

Volume of a pyramid-V=1/3 BH

Volume of a sphere-V=4/3 PI r^3

Surface area of a cylinder- s=2b+ch=2PIr^2=2PIrh