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.
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...
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 solve...
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 learning exercise, 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...
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
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
Volume of Cones
Students identify the volume of cones and pyramids. In this geometry lesson, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
Curated OER
Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
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
Measurement
Students identify and categorize different problem situations or contexts using one of four measurements to solve the problem. Through guided and independent practice, they discover ways to determine which measurement to use when...
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 required.
Curated OER
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.
Mathematics Assessment Project
Estimating Volume: The Money Munchers
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
Mathematics Assessment Project
Evaluating Statements About Enlargements
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
Curated OER
Shipping Rolled Oats
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Curated OER
Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume instructional activity, 7th graders complete several activities to learn the volume and surface area of cylinders.
Curated OER
Rectangular Prisms (B)
In this rectangular prisms worksheet, students find the volume and surface area of 3 rectangular prisms using the information provided.
Curated OER
Rectangular Prisms (C)
In this rectangular prisms worksheet, students use their problem solving skills to find the volume and surface area of 3 rectangular prisms.
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...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Radford University
Exploring Coal Pillar Mining
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...