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Surface Area and Volume

Volume: The amount of 3-D space inside an object, measured in units $^3$ (in $^3$ , cm $^3$ , etc)

Surface Area: The sum of the area of each face of an object, units $^2$ (in $^2$ , cm $^2$ , etc)

cube -> SA=6 $l^3$ V= $l^3$		rectangular prism -> SA=2wh+2lh+2wl V=lwh
Sphere -> SA=4 $\pi\cdot r^2$ V= $\frac{4}{3}\Pi \cdot r^3$		Cylinder -> SA=2 $\pi \cdot r^2 + 2 \pi \cdot r \cdot h$ V= $\pi \cdot r^2 h$

Find the surface area and volume of a cylinder whos radius is half of its height, which is 12cm.

$r=\frac{1}{2}$ h
$r=\frac{1}{2} \cdot 12$ cm
$r=6$ cm

SA= $2\pi\cdot r^2 +2\pi \cdot r \cdot h$
SA=2(3.14)(6cm $^2$ )+2(3.14)(6cm)12cm)
SA=226.08cm $^2$ +452.16cm $^2$

V= $\pi \cdot r^2 h$
V=(3.14)(6cm) $^2$ +452.16
SA=678.24cm $^2$
V= $\pi r^2 h$
V=(3.14)(6cm) $^2$ (12cm)
1356.48 cm $^3$