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 worksheet, 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 happen to the...
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 area and...
Curated OER
Using Your Marbles - Volume Measurement and Reporting
Demonstrate how to measure the volume of liquids and solids immersed in liquid to your class. They observe a teacher-led demonstration, and in small groups construct a data table that demonstrates how many marbles were used and the...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson plan, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and...
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 constant.
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...
It's About Time
Mass and Volume
Don't be so dense that light bends around you; study the relationship between mass and volume instead. Young chemists measure the density of a variety of liquids and solids. A reading passage and analysis questions introduce pupils to...
Curated OER
Similarity
For 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, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find the...
Curated OER
Geometry: Calculating Volumes
For this volume worksheet, middle schoolers 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. 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.
NorthEast Ohio Geoscience Education Outreach
Introduction to Density
Seventh grade scientists weigh in on the concept of density. In a nutshell, they participate in the following activities:
Measurement of the mass and volume of fruit in order to compare densities
Measurement of the mass of oil and water...
Curated OER
It Matters
Students use descriptive vocabulary to discuss the attributes of matter. Then, they sort objects or pictures by the type of matter they are comprised of. Finally, students match objects of matter with similar attributes and create a...
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 liquid vs....