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 determine...
Curated OER
Scale Factor- Surface Area and Volume
Students calculate the surface area and volume of shapes. In this geometry lesson, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and shapes.
Curated OER
Volume & Candy Creations Model
Sixth graders investigate surface area. In this surface area lesson, 6th graders design a box of candy that has a volume of 30 cubic inches. Students are trying to minimize surface area while keeping volume constant. Students...
Curated OER
Perimeter and Area of Similar Figures
Learners determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.
Curated OER
Surface Area of Pyramids
Pupils identify the surface area of pyramids and other polygons. In this geometry instructional activity, students find the different measurements for the different parts of a polygon. They use the surface area formula to solve for the...
Curated OER
Surface Area of Cones
Students find the surface area of cones. In this geometry lesson, students calculate the dimensions of each three-dimensional shape and use the correct formula to solve the problem. They relate concepts of cones to the real world.
Curated OER
Investigation-On the Surface
Learners compute the surface area of 3 geometric solids to determine the shape of package that would require the least amount of paper to wrap. In this geometry lesson, students work on a two-question assessment embedded in the plan. The...
Curated OER
3D Shapes
In this 3D shapes worksheet, 10th graders solve and complete 5 various types of problems. First, they find the area of the logo item shown. Then, students find the height of a cuboid given its length and width. In addition, they circle...
Curated OER
NetsS.A. of Prisms
Students build nets of three-dimensional prisms based on the dimensions they are given for hexagonal prism, triangular prism, rectangular prism. Working in groups, they use their prisms and calculate the Surface Area and Lateral Area.
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....
CCSS Math Activities
Building Blocks
Math is a lot like building blocks—it requires a solid foundation. A short performance task has pupils consider the volume of a cubic block. It then asks mathematicians to find the surface area and volume of a prism made from stacking...
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...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Curated OER
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
Curated OER
Surface to Volume Ratios
Young scholars measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson plan, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Curated OER
Chemical Reaction Rates
High schoolers observe demonstrations to show factors that affect rates of chemical reactions. In this rates of chemical reactions lesson, students investigate how catalysts, reactant concentrations, temperature and surface area affect...
Curated OER
The Calculus Whiz Who Owned a Box Company
Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Curated OER
Rectangular Prisms (D)
In this volume and surface area worksheet, 7th graders find the volume and surface area for the rectangular prisms. Students solve 3 problems.
Curated OER
Rectangular Prisms (H)
In this rectangular prisms worksheet, 7th graders find the volume and surface area of the rectangular prisms. Students solve 3 rectangular prisms problems.
Curated OER
Rectangular Prisms (E)
For this rectangular prisms worksheet, middle schoolers find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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.
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...
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...
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