Examples 12/1
Object
Three-Dimensional Objects
Picture
Surface Area
4πr2
4
3
3 πr
6l2
l3
2(lw + lh + wh)
lwh
2πr2 + 2πrh
πr2 h
Sphere
r
l
Cube
l
l
Rectangular prism (box)
Volume
h
w
l
r
Right circular cylinder
h
1. Which holds more soup: a can with a diameter of 3 inches and a height of 4 inches or
a can with a diameter of 4 inches and a height of 3 inches?
2. Suppose that, magically, your size suddenly doubled – that is, your height, width, and
depth doubled. For example, if you were 5 feet tall before, you now are 10 feet tall.
(a) By what factor has your waist size increased?
(b) How much more material will be required for your clothes?
(c) By what factor has your weight changed?