Chapter 10
Sierra k
Chapter 10 Vocabulary words:
-Base of a parallelogram:the length of any one of its sides
-height of a parallelogram:the perpundicular distance between the base and the opposite side
-solid:three dimensional figure that encloses a part of space
-polyhedron:a solid that is enclosed by polygons
-sphere: a solid formed by all points in space that are the same distance from a fixed point
-cone:a solid with one circular base
-Surface area: the sum of the areas of its bases
-slant height:(l) of a regular pyramid is the height of a lateral face.
-Volume: a measure of the amount of space it occupies
-isometric drawing:another way to make a 2 dimensional drawing of a 3 dimensional figure
-net:a 2 dimensional pattern that forms a solid when it is folded
Formulas
Area of a trapezoid: A=1/2(b1+b2)h
Area of a parallelogram: A=b*h
Surface area of a Cone: S=3.14*r2+3.14*r*l
Volume of a pyramid: V=1/3*B*H
Volume of a prism: V=B*h
Surface Area of pyramid: S=B+1/2*P*l
Surface Area of a prism: S=2*B+P*h
Surface Area Of a cylinder: S=2*b+c*h=2*3.14*r2+2*3.14*r*h
Examples+practice questions
Real life example of Cube
Real life example of cone
real life example of a pyramid
Examples:
A=1/2(b1+b2)h
=1/2(12+18)(5)=75
Area of a circle
A=3.14*r^2
=3.14*3^2
=28.26
Surface area of a cylinder
S=2*3.14*r^2+2*3.14*h
=2*3.14*(9)^2+2*3.14(9)(26)
=1979.203
Surface area of a square pyramid
S=B+1/2PI
12^2+1/2(4*12)(9)
=360
Volume of a Prism
V=Bh
=1/2(7*14)(21)
=1029
Volume of a cone
V=1/3*3.14*r^2h
=1/3*3.14(7)^2(18)
=923.628
Practice question:
Volume of small container: Volume of larger container:
V=1/3*3.14*r^2h V=2.14*r^2h
=1/3(3.14)(3)^2(6) =(3.14)(2.5)^2(6)
=56.2in.^2 =117.75in^2