EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
EngageNY
Volume and Surface Area
The 26th part of a 28-part series requires pupils to determine whether the answer to a problem requires surface area or volume. The class works problems about fish tanks that prompt individuals to decide, based on the question, which...
EngageNY
The Volume of a Right Prism II
Discover the difference between the capacity of a container and its volume. The 25th part of a 28-part series presents problems that require pupils to determine the amount of liquid a prism can hold. Learners must take into account the...
EngageNY
Volume and Surface Area II
Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...
EngageNY
The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Illinois Valley Community College
STEM Activities for Middle School Students
Use STEM activities within the class to provide connections to concepts. The resource includes activities that range from working with buoyancy to building rockets and launching them. Other activities involve the engineering design...
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
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....
Mathematics Assessment Project
Matchsticks
How many matchsticks can be made from a single tree? That is the problem facing middle schoolers. Scholars first determine the volume of a matchstick given its dimensions, and then use this information to estimate the number of...
Mathematics Assessment Project
Fruit Boxes
Perfect for visual and hands-on learners, an engaging lesson prompts pupils to consider the different-sized boxes they can create from a piece of cardboard. They develop a model to determine the size of the box with the greatest...
Del Mar College
Formulas for Elementary and Intermediate Algebra
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more.
Charleston School District
3D Applications of the Pythagorean Theorem
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
Centre for Innovation in Mamatics Teaching
Area, Perimeter and Volume
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
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
Learning About Volume
Learners explore the concept of volume. They develop formulas for volume of prisms. Then use their formulas to find missing dimensions of various prisms such as height, length, width, radius, and diameter.
Curated OER
Regents Exam Questions G.G.12: Volume
In this volume worksheet, high schoolers solve 12 short answer and multiple choice problems. Students find the dimensions of prisms given their volume in terms of quadratic and a linear expression.
Raytheon
Geometry: Volume
In this geometry worksheet, 6th graders study comprehensive facts pertaining to volume and measurement of geometric, three-dimensional figures. Students solve for 59 problems showing their work.
Curated OER
Prisms and Pyramids Homework
In this surface area and volume of prisms activity, students identify the requested measurement of each of 10 geometric shapes. The first two shapes are rectangular prisms, students tell surface area and volume. The next three shapes ask...
Curated OER
Rectangular Prisms (I)
In this rectangular prisms worksheet, students find the volume and surface area for the rectangular prisms. Students solve 3 problems.