Unit 1, Day 3: Surface area of prism, pyramid, cylinder, cone, and sphere

Objective: Be able to find the surface area of a prism, pyramid, cylinder, cone, and sphere

Formulas:
Cube = 6s²
where s = length of the side

Prism =  2(lw + lh + wh)
where l = length, w = width, h = height

Pyramid =  area of base + area of each of the lateral faces
 
Cylinder =  2πr (r + h)
where r = radius, h = height

Cone = πr (r + s)
where r = radius, s = slant height
 
Sphere =  4πr²
where r = radius 

Questions: 

1.) Find the surface area of the triangular prism below.

2.) Find the surface area of the sphere below.


3.) Find the surface area of the cylinder below.


Answers:

1.) 4•3=12  12÷2=6  6•2=12
7•3=21 7•4=28 5•7=35    35+28+21+12=96ft squared

2.) 18•18=324  324•4=1,296  1,296•π=4,071.5units squared

3.) 2•π•6=37.69  37.69•22=829.38" squared