Surface Area and Volume of Prisms and Cylinders9.3.1.2 Compose and decompose two- and three-dimensional figures; use decomposition to determine the perimeter, area, surface area and volume of various figures.

Guiding Question: How can I calculate the surface area and volume of an object?

• Lesson Obj: IWBAT decompose a 3-d composite shape in order to calculate its surface area & volume.

Guiding Question: How can I calculate the surface area and volume of an object?

• Problem: You have to build a hamster cage for a woodshop project. All sides are wire mesh and the top & bottom are wood. The cage is a square prism that is 16”x16”x20”. • How much wire mesh do you need?• How much wood do you need? • How much room does the hamster

have to move?

Guiding Question: How can I calculate the surface area and volume of an object?

• How did we find the surface area?

• How did we find the volume?

• A classroom is 35 ft long, 18 ft wide, and 11 ft tall. How much paint would you need to paint the walls and how much carpet to cover the floor? How much space is inside the room?

Guiding Question: How can I calculate the surface area and volume of an object?

• A barrel is used to hold any type of liquid for transit or just for storage. If a 50 gallon barrel has a radius of 11 in. and a height of 36 in., How much paint is required to paint it and how much space does it take up?

1. Draw a picture2. Label what you

know3. Draw a net4. Solve.

Guiding Question: How can I calculate the surface area and volume of an object?How to find the surface area

& volume of a prism?

• Surface Area = B = Area of the

baseLA = Lateral Area

Volume: B = Area of

the baseh = height of

the object

How to find the surface area and volume of a cylinder?

Surface Area=

Volume=

= Area of the base

Guiding Question: How can I calculate the surface area and volume of an object?

• Assignment: Surface Area and Volume WS