Raytheon
Geometry: Volume
In this geometry learning exercise, 6th graders study comprehensive facts pertaining to volume and measurement of geometric, three-dimensional figures. Students solve for 59 problems showing their work.
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
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.
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer for the...
Curated OER
Volume and Surface Area: Which Is More?
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
101 Questions
You Pour, I Choose
Tall and skinny or short and stout, which glass hold the most liquid? Learners analyze dimensions of cylindrical glasses to determine the one holding the greatest amount of liquid. They brainstorm the relevant dimensions before making...
NASA
Oh, Chute!
Using a scare model of the a test vehicle developed by the Systems Architecture and Integration Office at NASA, groups determine the dimensions for a scale model of the parachute compartment. The groups also determine the volume of the...
NASA
The NBL Pool
That is a lot of water. Class groups explore the size of the NASA's Neutral Buoyancy Pool and calculate the volume of water needed to fill it. They then compare that volume to the amount of water needed to fill a pool the size of a...
Pace University
Volume and Capacity
Differentiated instruction through leveled learning contracts boosts scholars' knowledge of volume and capacity. Participants split into three groups based on ability and interest before choosing three activities from their learning...
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
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!
Illustrative Mathematics
Comparing Snow Cones
Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.
Curated OER
Cylinders and Scale
Students review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises them...
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...
101 Questions
Popcorn Picker
A video and popcorn, just like being at the movies! Given the dimensions of two different cylinders, scholars decide which will hold the most popcorn. They find out if their calculations are correct with the provided solution video.
101 Questions
Hot Coffee
Your classes will be wide awake during a piping hot lesson! Introduce the resource with a video of the world-record-breaking cup of coffee. Learners work to determine the volume of the cup of coffee to predict if it will break the record.
CK-12 Foundation
Linear Equations: Deep Dish Pizza
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
Curated OER
Geometry: Calculating Volumes
In this volume worksheet, students find the volume of 6 prisms/cylinders. Students use a picture and given measurements of the prisms/cylinders to find the volume.
Curated OER
Math Regents Exam Questions: Surface Area and Volumes
In this surface area and volume learning exercise, students solve 4 short answer and multiple choice problems. Students find the volume and surface area of cylinders and prisms.
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 10 different word problems that include measuring various solids and cylinders. First, they determine the surface area of a cube and the edge of it. Then,...
Curated OER
Volume and Surface Area
For this volume and surface area worksheet, students find the volume and surface area of 8 prisms and cylinders. Students find the volume and surface area given a diagram with various measurements labeled.
Curated OER
Volume and Surface Area of Polyhedrea
For this volume and surface area worksheet, learners use given formulas to determine the volume and area of polyhedrea. This four-page worksheet contains examples, explanations and 32 problems. Answers are provided on the fourth page.
Curated OER
Yoplait with Areas and Volumes
In this areas and volumes worksheet, students find the area of truncated cones and elliptical cylinders. They find the area by using one of three methods: the disk method, the shell method, and using geometry. This one-page worksheet...