# Chapter 10

## Section 10.1 (Area of parallelograms)

Formula for the Area of a Parallelogram: A=b*h (Pic Below+Practice Question)

Area=base times height

+Pic

## How to find the area of a parrallelogram

How to Find the Area of a Parallelogram

## Section 10.1 (Area of Trapezoids)

Area of a Trapezoid: A=1/2(b1+b2)*h (See pic Below)

+Pic

## Vocab for 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 the opposite side.

Bases of trapezoids- Its two parallel sides.

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

## Section 10.2 (Areas of Circles)

Formula for the area of a circle: A=Pie*r^2 (Below)

## Practice question

A=Pie*r^2 Formula

A= 3.14*(5)^2 Substitute 3.14 for pie and 5 for r

Pic Below

Math Antics - Circles, Circumference And Area

## Vocab for section 2

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

Circle- All the set points in a plane that are the same distance from a fixed point.

Radius- The distance from the center point to any point.

Diameter- The distance across the circle through the center, or double the radius.

Circumference- The distance around a circle.

## Section 10.4 (Surface Area of a Prisms)

Surface Area of a Prism: S= 2B+Ph

B= Area of the base

P= Base's perimeter

## Practice question

S=2B+Ph

S=2(1/2*10*12) + (13+13+10) *15

S=660

## Video for the surface area of prisms and cylinders

Algebra Man - Surface Area of Prisms and Cylinders

## Section 10.4 (Surface Area of a Cylinder)

Surface Area of a Cylinder: S= 2*Pie*r^2+2*Pie*r*h

+Pic

## Vocab for section 4

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

Surface Area- The sum of the areas of its faces.

## Section 10.5 (Surface Area of Pyramids)

Surface area of a pyramid: S=B+1/2*P*Slant height

P= Base's perimeter

+Pic

## Video to find the surface area of a pyramid

How to Find the Surface Area of a Pyramid

## Section 10.5 (Surface area of a cone)

Surface area of a cone: S=Pie*r^2+Pie*r*slant height

+Pic

## Vocab for section 5

Slant height- The height of a lateral face, that is, any face that is not the base.

## Section 10.6 (Volume of prisms)

Volume of a prism: V=B*h

B=Area of the base

+Pic

## Real life tie in

If you wanted to know how much space the 8 kleenex boxes were taking up on your counter top, all you have to do is find the volume of one prism and then multiply it by 8, which is how many kleenex boxes you have.

## Section 10.6 (Volume of Cylinders)

Volume of a cylinder: V=Pie*r^2*h

+Pic

## Real life tie in

If you wanted to know how much space your disinfecting wipes take up in classroom, all you have to do is find the volume of a cylinder, V=Pie*r^2*h, and then you have your answer.

## Vocab for section 6

Volume- A measurement of the amount of space it occupies.

## Section 10.7 (Volume of a pyramid)

Volume of a pyramid: V=1/3*B*h

B= area of the base

+Pic

## Section 10.7 (Volume of a cone)

Volume of a cone: V=1/3*Pie*r^2*h

+Pic

## Real life tie in

If we wanted to know how much space a Native Americans teepee took up all we would have to do is find the volume using the formula, V=1/3*Pie*r^2*h, and we would get are answer.

## Vocab for section 7

Pyramid- A polyhedron, have one base, and the other faces are triangles.

Cone- A solid with one circular base.

Volume- A measurement of the amount of space it occupies.

## Formulas for every section

10.1:

Area of parallelograms: A=b*h

Area of trapezoids: A=1/2*(b1+b2)*h

10.2:

Area of circles: A=Pie*r^2

10.4:

Surface area of prisms: S=2B+Ph

Surface area of cylinders: S=2*Pie*r^2+2*Pie*r*h

10.5:

Surface area of pyramids: S=B+1/2*P*slant height

Surface area of cones: S=Pie*r^2+Pie*r*slant height

10.6:

Volume of prisms: V=B*h

Volume of cylinders: V=Pie*r^2*h

10.7:

Volume of prisms: V=1/3*B*h

Volume of cones: V=1/3*Pie*r^2*h

Volume of spheres: V=4/3*Pie*r^3

## Vocab for every section

10.1:

Base of a parallelogram- The length of any one of its sides.

Height of a parallelogram- The perpendicular distance between the base and the opposite side.

Bases of trapezoids- Its two parallel sides.

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

10.2:

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

Circle- All the set points in a plane that are the same distance from a fixed point.

Radius- The distance from the center point to any point.

Diameter- The distance across the circle through the center, or double the radius.

Circumference- The distance around a circle.

10.4:

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

Surface Area- The sum of the areas of its faces.

10.5:

Slant height- The height of a lateral face, that is, any face that is not the base.

10.6:

Volume- A measurement of the amount of space it occupies.

10.7:

Pyramid- A polyhedron, have one base, and the other faces are triangles.

Cone- A solid with one circular base.

Volume- A measurement of the amount of space it occupies.