1. Lesson 29- Problem Solving: Area, Volume, and Surface Area
In this Lesson, you will learn how to solve real-world and mathematical problems involving area, volume, and surface area.

2. Essential Question:
How does Area relate to finding the Surface Area of a 3- dimensional figure?

3. Words to Know: FOR 2 DIMENSIONAL SHAPES
Area – the amount of space inside a 2 dimensional figure (square units)
FOR 3 DIMENSIONAL SHAPES
Surface Area – the sum of the areas of all faces of a 3 dimensional figure (square units)
Volume – the amount of space inside a 3 dimensional figure (cubic units)

4. FIGURES: Right prism – a prism with lateral faces that are rectangles
Regular polygon – a polygon that has all sides the same length and all angles the same measure
Pyramid – a 3 dimensional figure that has a base that is a polygon and sides that are triangles

5. Steps to Solving: USE YOUR REFERENCE SHEET!
Figure out whether they are asking for area, surface area, or volume
Break up the figure to shapes that you know if needed (triangle, square, rectangle, parallelogram)
Include correct units!

6. 1. The owners of Ace Diner build a large “A” to place outside their diner. The shape is made up of one triangle, two parallelograms, and a trapezoid. What is the area of the shape?

7. 2. Glen uses a right hexagonal prism and 2 right hexagonal pyramids to make a piñata. The base of the prism is a regular hexagon. How many square inches of paper does he need to cover the piñata?

8. 3. Selina is using modeling clay to make a log cabin
3. Selina is using modeling clay to make a log cabin. The model is made up of a right rectangular prism and a right triangle prism. How many cubic inches of modeling clay does Selena need to make the log cabin? The model will be solid, not hollow.

9. 4. A right square pyramid has a base 12 m on each side
4. A right square pyramid has a base 12 m on each side. The surface area of the pyramid is 336m2 . What is the height (h) in meters at each triangle that forms a lateral face?