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...
Curated OER
Mensuration: Area
In this area worksheet, students read story problems, draw diagrams, and find the area of described polygons. This eight page worksheet contains six problems. Answers are provided.
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...
Curated OER
Surface Area
In this geometry instructional activity, 10th graders define surface area, net and lateral face. They calculate the surface areas of cones, prisms and cubes. There are 9 surface area questions.
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
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.
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, students read about volume and area, then solve a set of problems arranged in increasing order of difficulty.
Curated OER
Nets, Surface Area and Volume
Students calculate the surface area and volume of a sphere. In this geometry lesson, students define nets, surface areas and volume of prisms, pyramids, cylinders and cones. They use the computer to create nets and analyze shapes.
Math Mammoth
Volume Problems
In this volume problem instructional activity, students determine the volume of various objects. They compare similar objects and determine the percent of increase and decrease of the surface area and volume. This one-page instructional...
Curated OER
The Value of Volume
Students measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of triangles.
Curated OER
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Neufeld Learning Systems
Concept: Exponents in Formulas
In this volume and surface area worksheet, students use their calculators to find the volume or surface area of a pictured 3-dimensional figure.
National Nanotechnology Infrastructure Network
Lab 2: Nanocatalysts Clean Your Car Emissions
Surface area certainly surfaces as a variable for chemical reaction rates. Scholars perform an experiment to discover how the size of catalysts affect the rate of a chemical reaction. They record their results in tables and graphs to...
Curated OER
Surface Area and Volume of a Cube
Young scholars 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...
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...
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Curated OER
Measurement
Seventh graders measure surface area. In this geometry lesson, 7th graders find the surface area of various geometrical shapes. Using a computer program, students compute the area of 2-D and 3-D shapes. Students use...
Radford University
Confetti Task
Using the net of a can, learners develop formulas for the surface area and volume of a cylinder. They then apply their formulas to solve problems about a cylindrical container used to disperse confetti.
Curated OER
Investigation- On The Surface
Students will examine solids to determine which has the least surface area. They will also understand the use of units, square units, and cubic units. There is also the teaching and application of geometry formulas to perform calculations.
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Curated OER
Cylinders and Cones Homework
In this geometry worksheet, learners solve for the volume or surface area of cones and cylinders given the radius, diameter, or height. There are 25 questions.
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.
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the...