Lateral Area and Surface Area Essentials

Notes

Honors Geometry Notes LATERAL AREA AND SURFACE AREA CHAPTER 11 TOPIC 4 **Objective:** You will find and use the lateral area and surface area of prisms and cylinders | **LA of a Right Prism and Right Cylinder:** **LA = ph** p = perimeter of the base h = height of the figure | **Cube:** $$ LA = 4s^2 $$ | **LA of a Regular Pyramid or Right Cone:** $$ LA = \frac{1}{2} \ell \cdot p $$ p = perimeter of the base $\ell = \text{slant height}$ | **Surface Area of a Sphere Formula:** $$ SA = 4\pi r^2 $$ r = radius of the sphere | | --- | --- | --- | --- | | **SA of a Right Prism and Right Cylinder:** $$ SA = LA + 2 \cdot B $$ LA = lateral area B = AREA of a base | **SA = 6s^2** s = length of a side of the cube | **SA of a Regular Pyramid or Right Cone:** $$ SA = LA + B $$ LA = lateral area B = AREA of a base | | 1. **Lateral Area:** the sum of the areas of a polyhedrons<br/> lateral faces 2. **Surface Area:** The sum of the areas of a polyhedron's<br/> faces **Examples:** 1. Find the exact lateral area and surface area of the solid formed by the net.  d = 8.46 ft     2...