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 and Volume of Similar Solids
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
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
Similar Solids
In this similar solids learning exercise, 10th graders solve 10 different problems that include comparing the volumes of similar solids. First, they determine the volume of a cube given its sides. Then, students determine what will...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
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...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Curated OER
Exploring Similarity Using Scale Drawings
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions....
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...
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...
Curated OER
Similarity
In this similarity worksheet, 9th graders solve and complete 6 different types of problems. First, they complete the statement in the box shown. Then, students determine whether they agree or disagree with the statement and given...
Curated OER
Similar Objects
In this geometry worksheet, students walk through the process of comparing the scale factor of two cylinders' surface area and volume and answer questions about the scale factor of prisms. There are 15 questions.
EngageNY
Truncated Cones
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
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
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson plan, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson plan progresses to the use of the...
Curated OER
Geometry: Calculating Volumes
In this volume learning exercise, students find the volume of 8 prisms. Students are given the length, width, and height of each prism.
Curated OER
Scale Factor- Surface Area and Volume
Students calculate the surface area and volume of shapes. For 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
What is Matter?
Students investigate what matter is and how it changes states. In this physical properties lesson, students examine the vocabulary database and identify the characteristics of the three phases of matter. Students perform a...
Curated OER
"Space" Exploration
Fourth graders identify the attribute of volume of an object. Units of measurement are reviewed and utilized in this lesson.
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a...
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
Dihedral Figures
Middle and high schoolers perform transformations. In this web based instructional activity, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.