Chapter 12 Extension Surface Area of Composite Figures

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Presentation transcript:

Chapter 12 Extension Surface Area of Composite Figures

Vocabulary! Surface Area of a Composite Figure Surface Area of a Composite Figure Composite Figures: Solids that are attached together To find area, add up the surface area of all solids involved, but making sure to account for parts that are no longer on the surface

Identify the solids that form the composite solid.

Identify the solids that form the composite solid.

Identify the solids that form the composite solid.

Example 1: Identify the solids that make the composite solid and then find the surface area.

Example 2: Identify the solids that make the composite solid and then find the surface area.

Example 3: Steven is making a wood box to fit two flower pots in the middle. His rough draft of the contraption looks like the diagram below. Find the amount of paint he needs to paint the outside and the inside holes.

Example 4: Identify the solids that make the composite figure. Find the total surface area and volume of the composite space figures.

Example 5: Identify the solids that make the composite figure. Find the total surface area and volume of the composite space figures.

You Try! 1. Find the total surface area and volume of the composite figure.

You Try! 2. A storage bin is shaped as in the figure. The radius of the cylindrical top is 7 ft. The overall height of the bin is 26 ft. and the altitude of the conical section is 12 ft. Find the total surface area of the bin in bushels.

You Try! 3. The dimensions of the base of a rectangular solid are 5 and 8, and its altitude is 12. A hole, extending from upper base to lower base, is in the shape of a right triangular prism whose bases are equilateral ∆’s having an edge of 3. Determine the total surface area of the figure.

You Try! 4. Jimmy’s lunch box in the shape of a half cylinder on a rectangular box. Find the total area of metal needed to manufacture it 6 10 8

You Try! 5. A rectangular prism is 40 ft by 38 ft by 15 ft. Shown below is the prism with a half cylinder removed. Find the volume of the original prism remaining. 15 ft 38 ft 40 ft 10 ft 12 ft