Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
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...
Lesson Plan
EngageNY

Examples of Functions from Geometry

For Teachers 8th Standards
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
Workbook
1
1
Utah Education Network (UEN)

Ch 8: Geometry II– Measurement in 2-3 Dimensions, Cross Sections of Solids

For Students 7th Standards
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
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...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
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....
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
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...
Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 3)

For Teachers 9th - 10th Standards
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.
Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
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...
Unknown Type
Khan Academy

Khan Academy: Solid Geometry Word Problems

For Students 7th - 9th Standards
In this exercise, students practice volume word problems with cones, cylinders, and spheres. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
Unknown Type
Khan Academy

Khan Academy: Solid Geometry Word Problems

For Students 9th - 10th Standards
Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: Polyhedra

For Students 9th - 10th Standards
This lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...
Interactive
Calculator Soup

Calculator Soup: Surface Area Calculator

For Students 9th - 10th
Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism
Interactive
Calculator Soup

Calculator Soup: Geometric Shapes

For Students 9th - 10th Standards
This reference lists formulas for geometric shape measurements and offers links to online calculators.
Interactive
Calculator Soup

Calculator Soup: Cube Calculator

For Students 9th - 10th
Use this calculator to calculate unknown variables for a cube such as a side length, face diagonal, solid diagonal, surface area, and volume.
Interactive
Calculator Soup

Calculator Soup: Three Dimensional Distance Calculator

For Students 9th - 10th
Use this calculator to calculate the distance between 2 points by entering 2 sets of coordinates in the 3-dimensional Cartesian coordinate system, (X1, Y1, Z1) and (X2, Y2, Z2), to get the distance formula calculation for the 2 points...
Interactive
Calculator Soup

Calculator Soup: Triangular Prism Calculator

For Students 9th - 10th
This calculator finds the volume, surface area, and height of a triangular prism. Surface area calculations include top, bottom, lateral sides, and total surface area. Height is calculated from a known volume or lateral surface.
Interactive
Calculator Soup

Calculator Soup: Capsule Calculator

For Students 9th - 10th
This online calculator will calculate the various properties of a capsule given any 2 known variables including radius r, side length a, surface area S, volume V and circumference C.
Interactive
Calculator Soup

Calculator Soup: Tube Calculator

For Students 9th - 10th
This calculator will calculate the various properties of a tube, also called a pipe or hollow cylinder, given 3 known values from variables of radii, circumference, wall thickness and height.
Interactive
Calculator Soup

Calculator Soup: Sphere Calculator

For Students 9th - 10th
This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will also give the answers for volume, surface area, and circumference...
Interactive
Calculator Soup

Calculator Soup: Hemisphere Calculator

For Students 9th - 10th
This online calculator will calculate the various properties of a hemisphere given any 1 known variable. It also calculates the variables in terms of PI.
Interactive
Calculator Soup

Calculator Soup: Conical Frustum Calculator

For Students 9th - 10th
This online calculator will calculate the various properties of a conical frustum given the 2 radii and any 1 other known variable.
Interactive
Calculator Soup

Calculator Soup: Circular Cylinder Calculator

For Students 9th - 10th
This online calculator will calculate the various properties of a cylinder given 2 known values. It will also calculate those properties in terms of PI.
Interactive
Calculator Soup

Calculator Soup: Cone Calculator

For Students 9th - 10th
This online calculator will calculate the various properties of a right circular cone given any 2 known variables.