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
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