Concord Consortium
Swimming Pool I
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume of an isosceles trapezoid. Then, students find the volume and total surface area of a sphere. They...
Curated OER
Cylinders
In this online worksheet, students use pie to calculate the area and volume to the nearest tenth. The radius, diameter, and or height are provided.
Curated OER
Volume and Surface Area of Rectangular Prisms and Cylinders
In this volume and surface area worksheet, students compute the volume and surface area of 8 shapes. Four shapes are rectangular prisms, four shapes are cylinders.
Curated OER
Cylinders and Cones Multiple Choice
In 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.
Curated OER
3D Shapes
In this 3D shapes worksheet, 10th graders solve and complete 5 various types of problems. First, they find the area of the logo item shown. Then, students find the height of a cuboid given its length and width. In addition, they circle...
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by...
Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Mathematics Assessment Project
Sports Bag
Why not give surface area of cylinders a sporting chance in your classroom? A strategic problem-solving task requires pupils to consider the net of a cylinder. Individuals must determine the sizes of the pieces needed to make a...
Curated OER
Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Similar Objects
In this geometry learning exercise, learners 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.
Curated OER
Functions
In this functions activity, 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 is a...
Curated OER
Geometry: Calculating the Area of a Circle
In this area worksheet, learners use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.
Curated OER
Cylinders and Cones Homework
In this geometry instructional activity, students solve for the volume or surface area of cones and cylinders given the radius, diameter, or height. There are 25 questions.
Curated OER
Supplemental Algebra Problems
In this volume learning exercise, students compute the volume of geometric shapes. Each problem is an application (or word) problem. Students are given the appropriate formula and dimensions of the shape. Two problems ask about surface...
Curated OER
Finding Volume
In this volume worksheet, 10th graders solve 10 different problems that include various types of figures. First, they determine the volume of a prism, pyramid, cylinder, cone, and a sphere as shown. Then, students determine the surface...
Curated OER
Area, Perimeter, and Volume
In these area, perimeter, and volume worksheets, students complete 6 different activities to determine area, perimeter, or volume of a figure.
Curated OER
Geometry: Calculating Volumes
In this volume learning exercise, students find the volume of 6 prisms/cylinders. Students use a picture and given measurements of the prisms/cylinders to find the volume.
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...