Cornell University
Atomic Bonding
Explore the connection of surface area to bonding within atoms. Learners complete lab investigations to model changing surface area with different sizes and concentrations of atoms. A flour fireball demonstration follows the labs to...
Noyce Foundation
Building Blocks
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
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...
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Illustrative Mathematics
Ice Cream Cone
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
CCSS Math Activities
Building Blocks
Math is a lot like building blocks—it requires a solid foundation. A short performance task has pupils consider the volume of a cubic block. It then asks mathematicians to find the surface area and volume of a prism made from stacking...
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
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
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
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
The Surface Area of a Cylinder
Young scholars find the circumference and diameter of several circles and calculate the surface area of cylinders. In this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate...
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.
Curated OER
Surface Area of a Leaf (Grades 7-9)
In this math and science activity, learners read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...
Curated OER
Find the Surface Area of the Triangle
In this geometry worksheet, students are asked to solve for the surface area of a triangle and a trapezoid. They are fiven the height and base. There are 2 questions with an answer key.
Curated OER
Finding Perimeter and Area
In this area and perimeter worksheet, students are given the equations to find the perimeter and area of objects. They practice finding the perimeter by measuring the sides of given objects and adding them together. They find the area of...
Curated OER
Length, Perimeter, and Area
Students explore the concepts of length, perimeter, and area. In this math lesson, students use Shape Explorer to practice finding length, perimeter, and area.
Curated OER
Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
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...
Curated OER
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 lesson, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students discover that...
Curated OER
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...
Curated OER
Surface Area and Volume
In this surface area and volume worksheet, 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,...
Curated OER
Calculate Volume and Surface Area
For this volume and surface area worksheet, students are given the volume of 4 figures and find the area. A web site reference is given for additional activities.