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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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The Inscribed Cube Problem
In this geometry learning exercise, 10th graders are given the surface area of a cube that is inscribed in a sphere and must determine the surface area of the sphere. The one page learning exercise contains one problem. Solution is not...
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Calculate Volume and Surface Area
In this volume and surface area activity, students are given the volume of 4 figures and find the area. A web site reference is given for additional activities.
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Volume, Surface Area for Cylinders
Seventh graders explore the concept of volume and surface area of cylinders. In this volume and surface area of cylinders instructional activity, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students...
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Nets and Surface Area - Mental Math
In this mental math worksheet, students use mental math to find the surface area and determine nets of the given shape. They use an information sheet as an aide to find the answer to 30 questions.
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Surface Area
In this surface area worksheet, students complete several activities with the given shapes that help them identify and find the surface area of shapes.
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Surface Area and Volume
In this surface area and volume activity, students identify and complete each of 20 problems containing a different sized cube. First, they determine the surface area of each cube given the dimensions for height and/or width. Then,...
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Artistic Angles
Fifth graders explore angles by using protractors. They recognize, describe and determine the surface area and volume of three-dimensional shapes. Students recognize the right angle, acute angle, obtuse angle and vertex. They identify...
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Surface Area and Volume of a Cube
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...
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TE Activity: The Boxes Go Mobile
Students create a mobile of boxes and cubes that they made in a previous lesson plan that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on surface areas and...
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Coefficient of Kinetic Friction and Surface Area
Students investigate coefficient of friction with respect to surface area and applied force in contact with the sliding force.
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Castles
Students create a scale model to a castle using the dimensions they were given. They calculate the surface areas and volumes of each section of their castle.
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Mathematics: It's a Wrap!
Students calculate the amount of wrapping paper needed to wrap boxes. They describe how they determined their answers.