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Lesson 29- Problem Solving: Area, Volume, and Surface Area

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

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Lesson 29- Problem Solving: Area, Volume, and Surface Area

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  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. 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. The surface area of the pyramid is 336m2. What is the height (h) in meters at each triangle that forms a lateral face?

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