Examine some of the complexities and complications inherent in the development of a micro engine. This video focuses on how MIT researchers have to consider proportions comparing volume and surface area when factoring heat loss, taking math out of the classroom and into real world problem solving.

Students build scale models of objects of their choice. In class they measure the original object and pick a scale, deciding either to scale it up or scale it down. Then they create the models at home. Students give two presentations along the way, one after their calculations are done, and another after the models are completed. They learn how engineers use scale models in their designs of structures, products and systems. Two student worksheets as well as rubrics for project and presentation expectations and grading are provided.

3-dimensional shapes have many surfaces, and they do not necessarily look the same from different angles. This tutorial contains a video demonstration and practice problems to help you understand and see the surface area of 3-dimensional shapes. [2:07]

This video tutorial teaches you how to calculate the surface area and volume of cones. Just like pyramids and cylinders, there are formulas for surface area and volume of cones. Also included are questions on composite solids that consist of cones too. Step-by-step explanations are provided along with examples. [3:38]

Calculate the surface area of a triangular prism in this video. [3:33]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Students learn about the basics of molecules and how they interact with each other. They learn about the idea of polar and non-polar molecules and how they act with other fluids and surfaces. Students acquire a conceptual understanding of surfactant molecules and how they work on a molecular level. They also learn of the importance of surfactants, such as soaps, and their use in everyday life. Through associated activities, students explore how surfactant molecules are able to bring together two substances that typically do not mix, such as oil and water. This lesson and its associated activities are easily scalable for grades 3-12.

This activity can be used as a formative assessment review of algebra and coordinate geometry.

Watch this tutorial to see how to use the dimensions of a rectangular prism to find the lateral area. [6:25]

Watch this tutorial to see how to apply each formula to the given information to find the lateral area and surface area. [7:45]

Students learn about the Earth's water cycle, especially about evaporation. Once a dam is constructed, its reservoir becomes a part of the region's natural hydrologic cycle by receiving precipitation, storing runoff water and evaporating water. Although almost impossible to see, and not as familiar to most people as precipitation, evaporation plays a critical role in the hydrologic cycle, and is especially of interest to engineers designing new dams and reservoirs, such as those that Splash Engineering is designing for Thirsty County.