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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...
EngageNY
Examples of Functions from Geometry
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.
Utah Education Network (UEN)
Ch 8: Geometry II– Measurement in 2-3 Dimensions, Cross Sections of Solids
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...
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...
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....
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...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
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.
Curated OER
Transformations in the Coordinate Plane
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...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
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...
Khan Academy
Khan Academy: Solid Geometry Word Problems
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.
Khan Academy
Khan Academy: Solid Geometry Word Problems
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.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Polyhedra
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...
Calculator Soup
Calculator Soup: Surface Area Calculator
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
Calculator Soup
Calculator Soup: Geometric Shapes
This reference lists formulas for geometric shape measurements and offers links to online calculators.
Calculator Soup
Calculator Soup: Cube Calculator
Use this calculator to calculate unknown variables for a cube such as a side length, face diagonal, solid diagonal, surface area, and volume.
Calculator Soup
Calculator Soup: Three Dimensional Distance Calculator
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...
Calculator Soup
Calculator Soup: Triangular Prism Calculator
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.
Calculator Soup
Calculator Soup: Capsule Calculator
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.
Calculator Soup
Calculator Soup: Tube Calculator
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.
Calculator Soup
Calculator Soup: Sphere Calculator
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...
Calculator Soup
Calculator Soup: Hemisphere Calculator
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.
Calculator Soup
Calculator Soup: Conical Frustum Calculator
This online calculator will calculate the various properties of a conical frustum given the 2 radii and any 1 other known variable.
Calculator Soup
Calculator Soup: Circular Cylinder Calculator
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.
Calculator Soup
Calculator Soup: Cone Calculator
This online calculator will calculate the various properties of a right circular cone given any 2 known variables.