Bell RingerGet out your area homework assignment and formula

sheet

Get out your notebook and prepare to take notes on Section 10.5/10.7

Find the area of the following irregular figure:

Chapter 10Area and Volume

10.5/10.7 – Surface Area and Volume of Prisms

(Page 551 & 563)Essential Question:

How do we find the surface area and volume of prisms?

ReviewSolids:

DO NOT lie in a plane Have length, width, and height

Common Solids:1. Prism2. Pyramid3. Cylinder4. Cone5. Polyhedron6. Sphere

10.5 – Surface Area of PrismsPrism:

Two parallel bases that are congruent polygonsLateral faces are parallelogramsNamed by the shape of its bases

^^PENTAGONAL PRISM^^

10.5 cont.Example 1:

For the following figure, describe the bases, name the figure, and name the part labeled

Bases: OCTAGONS

Figure: OCTAGONAL PRISM

: LATERAL EDGE OR BASE EDGE

10.5 cont.Lateral Area:

Lateral = “on the side”Sum of the areas of the lateral surfaces of a solid

10.5 cont.Surface Area of a Prism:

𝑺 . 𝑨 .=𝒑𝒉+𝟐𝑩

10.5 cont.Example 3:

Find the surface area of the following prism:

10.7 – Volume of a PrismVolume

Number of unit cubes needed to fill a solid

Volume of a Prism:

10.7 cont.Example 4:

Find the volume of the following prism:

ft3

10.7 cont.Example 5:

Find the volume of the following triangular prism:

ft

ft

ft

10.5/10.7 - ClosureHow do we find the surface area and volume of

prisms?

Surface Area: Find the lateral area and add it to the area of the

bases

VolumePrism:

where

Triangular Prism: where

10.5/10.7 - HomeworkPage 554-555; 2, 4-9

Page 565; 1-3, 10, 12

Finish Formula Sheet