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The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Cut It Out!
Students calculate the surface area of polygons. For this geometry lesson, students use spacial reasoning to find the answer to their problem. They analyze solids and create formulas to estimate the measurements of the area.
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Similar Objects
In this geometry worksheet, students walk through the process of comparing the scale factor of two cylinders' surface area and volume and answer questions about the scale factor of prisms. There are 15 questions.
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Cylinders and Cones Multiple Choice
For this cylinder worksheet, students answer ten multiple choice questions covering lateral area, volume, and surface area. The solutions are available by clicking on the "grade and submit" button found on the bottom left of the page.
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Volume Of A Prism
Eighth graders investigate the concept of a prism and finding the volume. They begin the inquiry by attempting to find the surface area in order to begin the inquiry. Students are expected to apply memory for the mathematical formulas in...
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Rectangular Prisms (D)
In this volume and surface area worksheet, 7th graders find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Fuel Mystery Dis-Solved
Students describe how temperature and surface area exposure affect the rate at which fuel is consumed. They explain why engineers want to know about the properties of a fuel when designing rockets. They create a bar graph of result data.
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Color Your World
Students calculate the cost of painting a room. In this surface area lesson, students create a scale model from provided dimensions of a bedroom. Groups use area formulas to find square footage, from which materials and labor costs are...
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A Cylinder Workshop
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson plan.
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Worksheet 5
In this math activity, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
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Rectangular Prisms (H)
In this rectangular prisms activity, 7th graders find the volume and surface area of the rectangular prisms. Students solve 3 rectangular prisms problems.
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Rectangular Prisms (E)
In this rectangular prisms worksheet, learners find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Rectangular Prisms (I)
In this rectangular prisms worksheet, students find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Triangles
In this triangles worksheet, 10th graders solve 10 different problems that include determining the measurement of various angles. First, they determine the area of a triangle illustrated on the sheet. Then, students use the picture to...
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Functions
In this functions learning exercise, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve...
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Geometry Institute Lesson
Students practice geometry skills. In this geometry lesson, students find the surface area of cubes and prisms, identify shapes on solids, and distinguish between 2-dimensional objects and solids.
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Surface Area of Hemisphere Worksheet B
Learners determine the surface area of a hemisphere, given the diameter or the radius. This two page worksheet contains eight multi-step problems. Answers are provided on the last page.
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Surface Area of Cubes and Rectangular Prisms
Eighth graders calculate surface area of 3-D shapes. In this geometry instructional activity, 8th graders analyze cubes and prisms by finding their area and surface area. They compare the data of these two shapes.
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Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
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Using Nets to Find Surface Area
Eighth graders explore three-dimensional objects (prisms, pyramids, cylinders and cones) to draw nets. They use the understanding of drawing nets to find the surface area of pyramids and cylinders.
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Trapezoid Prisms: Surface Area and Volume
In this volume and surface area worksheet, students find each for a set of 4 trapezoid prisms. An answer key is included on page 2.
![Triangular Prisms: Surface Area and Volume [F] Worksheet](http://content.lessonplanet.com/resources/thumbnails/284431/large/odc2nzc4lmpwzw.jpg?1414480027 "Triangular Prisms: Surface Area and Volume [F] Worksheet")
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Triangular Prisms: Surface Area and Volume [F]
For this surface area and volume worksheet, students find each for a set of 6 triangular prisms. An answer key is included on page 2.
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Prisms and Pyramids Homework
In this surface area and volume of prisms worksheet, students identify the requested measurement of each of 10 geometric shapes. The first two shapes are rectangular prisms, students tell surface area and volume. The next three shapes...
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Pooling Around
Students complete a unit of lessons on computing area and volume. They play a Jeopardy game of basic area formulas, calculate surface area of shapes, develop a Powerpoint presentation, and conduct a simulation of finding the surface area...
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