Curated OER
Geometry: Calculating Volumes
In this volume worksheet, middle schoolers find the volume of 8 prisms. Students are given the length, width, and height of each prism.
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Curated OER
Cube Models
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson plan, they record the dimensions of each...
Curated OER
Geometric Shapes
In this geometry and shapes worksheet, 5th graders practice calculating the shaded area of 2 objects. Students count the squares on 2 grids to find the volume of each object in cube units.
Curated OER
Cell Reproduction
In this cell reproduction worksheet, students will discover that when a cube doubles in size, the surface area grows by four times and the volume grows by eight times. Students will use this information to understand the limits to cell...
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.
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...
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.
101 Questions
Dandy Candies
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
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...
Achieve
Dairy Barn
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms. The solutions are provided.
Curated OER
New Boxes From Old
Middle schoolers find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new,...
Curated OER
Calculate Area Using Shaded Grids
In this area worksheet, students calculate area of shapes using shaded grids, writing answers in cube units. A reference web site is given for additional activities.
Curated OER
Calculating Area
In this area activity, students calculate the area of shaded figures shown on grids. A reference web site is given for additional activities
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...
Curated OER
Sizing Cells
Students examine how living cells reproduce to make new cells. For this cell reproduction lesson students complete a lab activity and answer questions.
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
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
Construct Figures to Find Specific Volume
Sixth graders use number cubes to explore volume of two-dimensional shapes. They roll a die and construct a shape using the numbers rolled as measurements of the sides. They estimate the volume of a given object, and then use the...
Curated OER
Cuboids
In this geometry activity, 10th graders calculate the surface area and volume of a cube. The one page interactive activity contains ten questions. Answers and hints are included.
Curated OER
The X-33 and the X-38
Students explore the relationships among the lengths, areas, and volumes of similar solids. They also discover what effect doubling the dimensions of a figure has on the resulting area.
Curated OER
Measurement
Learners measure angles, perimeter, area and volume. In this geometry lesson, students define different ways to measure and solve for the perimeter, area and volume of geometric shapes. They analyze and process information to help them...