10.2: Solid

Volume (V) is measured in cubic units and surface area (SA) is measured in square units.

Cube

Figure $\PageIndex{1}$

$$S A=6 s^{2}$$

$$V=s^{3}$$

Rectangular Solid

Figure $\PageIndex{2}$

$$S A=2 l w+2 l h+2 w h$$

$$V=l w h$$

Right Circular Cylinder

Figure $\PageIndex{3}$

$$S A=2 \pi r^{2}+2 \pi r h$$

$$V=\pi r^{2} h$$

Right Circular Cone

Figure $\PageIndex{4}$

$$S A=\pi r^{2}+\pi r s$$

$$V=\frac{1}{3} \pi r^{2} h$$

Sphere

Figure $\PageIndex{5}$

$$S A=4 \pi r^{2}$$

$$V=\frac{4}{3} \pi r^{3}$$