1. Lateral Area &Surface Area Of Prisms
Geometry 10:2

2. Warm-up 1. Find the area of a rectangle with sides:
a. 6 and 9
b. 11 and 4
c. 52 and 86
2. If the area of a square is 36 units², what are the lengths of the sides?
3. If the area of a square is 45 units², what are the lengths of the sides?

3. Notes

4. Right Prism This is a pentagonal prism.
Right Prism: A prism where all the lateral faces are perpendicular to the bases.

5. Oblique Prism: This also is a pentagonal prism.
Oblique Prism: A prism that leans to one side and the height is outside the prism.

6. Right Prisms vs Oblique Prisms

7. Right Prisms vs Oblique Prisms
Right Prism – Edges are Altitudes.

8. Formulas The formula of the lateral surface area of a prism is
Lateral area = P×h
P is the perimeter of the base
The formula of the TOTAL surface area of a prism is
Surface Area = P×h + 2B
B is the area of the base.

9. Example: Lateral Area: 16 + 12 = 28 28 × 2 = 56 cm² Surface Area:

10. Example: Lateral Area: 32 × 4 = 128 Surface Area: 10² – 6² = 64
b² = 64
b = 8
(8 × (12/2) × 2) = 224 un²

11. Example: Lateral Area: 6² + 8² = 100 b² = 100 b = 10 24 ×12 =288 yd²
Surface Area:
(6×8÷2)(2) + 288
= 336 yd²

12. Example: Lateral Area: (6+5+12+5) × 10 28 × 10 = 280 un² Surface Area:
((6+12)÷2)×4 = 36 = B
2(36) = 352 un²

13. Example: Lateral Area: 8 × 6 × 11 = 528 in² Surface Area:
(360÷6÷2) = 30
4 ÷ tan(30) = 6.9
Area of this hexagon is × 2 = 332.6
= 860.6