# Chapter 10

### Dalton G

## 10.1 Area of parallelograms and trapezoids

The base of a parallelogram is the length of any of one of its sides. The perpendicular distance between the base and the opposite side is the height of the parallelogram

## Area of parallelograms A=bh A=8x6 A=48m | ## Area of trapezoid A=1/2(b1 plus b2)h A=1/2(5 plus 7)4 A=1/2x12x4 A=36cm | ## Try using your knowledge! b=30cm h=6cm area=180cm |

## 10.2 Areas of circles

The area of a circle is the product of pie and the square of the radius the formula is A=pie rsquared

## Area of a circle A= pie r squared A=3.14x14squared A=615.44 | ## Captain Americas shield The radius of captain Americas shield is 10 inches solve for the area of his shield |

## 10.3 Three Dimensional Figures

A solid is a three dimensional figure that encloses a part of space. A polyhedron is a solid that is enclosed by polygons. A polyhedron has only flat surfaces. The polygons that form a polyhedron are called faces.

## Triangular prism A prism is a polyhedron.Prisms have two congruent bases that lie in parallel planes. The other faces are rectangles. This triangular prism has 2 bases 6 vertices 9 edges | ## Rectangular pyramid A pyramid is a polyhedron. Pyrimids have one base. The other faces are triangles.This pyrimid has 5 faces 5 vertices and 8 edges | ## Cylinder A cylinder is a solid with two congruent circular bases that lie in parralel planes it has 0 faces 0 vertices 0 edges |

## Triangular prism

A prism is a polyhedron.Prisms have two congruent bases that lie in parallel planes. The other faces are rectangles. This triangular prism has 2 bases 6 vertices 9 edges

## Rectangular pyramid

A pyramid is a polyhedron. Pyrimids have one base. The other faces are triangles.This pyrimid has 5 faces 5 vertices and 8 edges

## 10.4 Surface areas of prisms and cylinders

One way to represent a solid is to draw its net a net is a two denominational pattern that forms a solid when its folded

## Surface area of a prism The formula to solve the SA of a prism is S=2B + Ph | ## Surface area of a cylinder The formula for finding the surface area of a cylinder is S=2B+Ch or 2Pi R squared + 2pi x r x h | ## Surface area of a cylinder The radius =2mm and the height =5mm solve for the surface area |

## 10.5 Surface area of pyrimids and cones

The slant height of a regular pyramid is the height of a lateral face that is any face that is not the base

## Surface area of a cone The formula for the surface area of a cone is S= pirsquared+pixrxl | ## Surface area of a pyrimid The formula for the surface area of a pyrimid is S=B+ 1/2Pl | ## Surface area of a pyrimid the height = 4in length =5in and width = 3in solve for the surface area |

## 10.6 Volumes of prisms and cylinders

The volume of a solid is a measure of the amount of space it occupies. Volume is measured in cubicmeters

## Volume of a prism The formula is V=Bh B meaning the area of the base | ## Volume of a cylinder The formula is V=Bh = pi rsquared h | ## volume of cylinder the height = 5cm the radius = 2cm solve for the volume |

## 10.7 Volume of pyramids and cones

The volume of pyramids and a prism with the same base area and the same height are realated

## Volume of a pyramid The formula for a pyrimid is V=1/3B h | ## real life example The height of the cone is 7 cm and the radius is 4cm solve for volume | ## Volume of a cone The formula for finding the volume of a cone is V=1/3B H or 1/3 pi r squared h |

Volume of a Pyramid

Surface Area of Prisms