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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...
Math Mammoth
Volume Problems
In this volume problem instructional activity, students determine the volume of various objects. They compare similar objects and determine the percent of increase and decrease of the surface area and volume. This one-page instructional...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 10 different problems that include using spheres to examine changes in volume and surface area. First, they complete the chart shown using the formulas given....
Curated OER
Family Activity: Gift Wrapping - Surface Area
In this surface area worksheet, students solve 6 short answer problems. Students determine the amount of gift wrap paper needed to cover a rectangular box using surface area formulas.
Curated OER
Volume and Surface Area
For this volume and surface area worksheet, high schoolers 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
Cubes Online
Upper graders must find the surface area and volume of a shape, given the length. There are 10 problems for students to solve and submit.
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Indian Institute of Technology
Could King Kong Exist?
The title says it all: Could King Kong exist? Investigate how increasing the dimensions of an object affects its surface area and volume to mathematically conclude whether a creature with the weight and height of King Kong could actually...
Purdue University
Plastic Water Bottle Design – What’s the Best Shape?
Join the fight to reduce plastic waste. A hands-on STEM activity first teaches scholars about the scourge of plastic waste. They then measure the dimensions of water bottles to calculate surface areas and volumes before using the surface...
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Curated OER
Perimeter, Area, Volume, and Surface Area
For this geometry worksheet students solve problems involving perimeter, area, volume, and surface area for various geometric shapes. The four page worksheet contains twenty-five problems. Answers key is provided.
Curated OER
Perimeter, Area, Volume and Surface Area
In this perimeter of shapes instructional activity, 10th graders find the perimeter of the shapes illustrated. Then, they find the volume of each shape shown. Students also match the shape with its correct name on the left and find the...
Curated OER
Volume and Surface Area of Polyhedrea
For this volume and surface area worksheet, students 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
Volume and Surface Area
In this volume and surface area activity, 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, students...
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Students identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use Internet...
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Curated OER
Cover Up: Tools for Integrating Math and Engineering
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
Curated OER
Volume and Surface Area: Which Is More?
Learners 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...
Curated OER
The Luxor Hotel Contract
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target H
Knowing the surface area certainly helps when deciding how much paint to buy before a project. Scholars solve for surface area, as well as volume and area, as part of the presentation from Grade 6 Claim 1 Item Slide Shows. Geometric...
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.
Radford University
Building Sandcastles
Finalize the plans before playing in the sand. Learners design sandcastles using geometric and composite figures. They create blueprints, including the scale, and three-dimensional models of their castles. Finally, scholars calculate the...