Dayton Regional STEM Center
(937) 225-4598
200 S. Keowee St. Dayton, OH 45402

Design a Backpack

In this activity, students will be given a specific set of materials to use as they apply their knowledge of surface area and volume to design a net for a prism that could function like a small backpack.  After a pre-activity discussion on surface area and volume, students will address design constraints and the engineering design challenge as they employ their mathematical skills.

MeasurementGrade 5 – Benchmark A: Select appropriate units to measure angles, circumference, surface area, mass and volume. Grade 5 – Benchmark C: Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders. Grade 6 – Benchmark A: Select appropriate units to measure angles, circumference, surface area, mass and volume. Grade 6 – Benchmark C: Identify appropriate tools and apply appropriate techniques for measuring angles, perimeter or circumference and area of triangles, quadrilaterals, circles and composite shapes, and surface area and volume of prisms and cylinders. Grade 8 – Benchmark B. Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision.Geometry & Spatial SenseGrade 5 – Benchmark H: Predict and describe results (size, position, orientation) of transformations of two-dimensional figures. Grade 8- Benchmark E: Draw and construct representations of two- and three-dimensional geometric objects using a variety of tools, such as straightedge, compass and technology.