Curated OER
Volume of Solids
In this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
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...
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 figures do not...
Curated OER
Surface Area and Volume
For this surface area and volume worksheet, 8th graders solve 11 various geometry problems that include determining the surface area and volume for the measurements given and finding the surface area for each solid shown. Then they...
Curated OER
Problem Solving: Surface Area or Volume
Strengthen young geometric muscles with this exercise in finding surface area and volume. Six problems provide practice at determining the surface area and volume of two solid figures shown in cubic units, deciding which to find given a...
Teaching Ideas
Volume
After understanding that the volume of a unit cube is one cubic centimeter, math masters determine the volume of four larger rectangular shapes. Then they take the challenge to figure out the volume of seven irregular, cube-containing...
Mathed Up!
Simple Perimeter, Area, and Volume
Young mathematicians find the area and perimeter of shaded shapes on a grid of unit squares. The sheets challenge class members to find the volume of various solid prisms. Each questions also includes the total value of suggest points...
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...
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.
Curated OER
Decomposing Rectangular Solids
In this surface area and volume worksheet, students solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the illustrated...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane 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...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Math Drills
Volume and Surface Area of Rectangular Prisms
Your learners get solid practice calculating the surface area and volume of rectangular prisms with this instructional activity. There are ten versions of the activity for their enjoyment, and yours.
Houghton Mifflin Harcourt
Explore Volume - Practice 17.6
When youngsters are first gaining experience with the volume of solid figures, this is a well-suited activity. Nine figures, all made of unit cubes, are drawn for your class to estimate volumes with. Two simple test preparation questions...
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
Curated OER
Solids...Volume and Surface Area
In this volume and surface area worksheet, students find the volume and surface area of different solid figures. Students complete 8 problems.
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Curated OER
Volume Worksheet I
In this volume worksheet, students recognize three-dimensional figures, identify the proper volume formula, and then solve the equation by inserting information from a diagram into the formula. Students solve six equations.
Curated OER
Volume of Cylinders and Cones
Line drawings of a circle, a cylinder, and a cone at the top of the page contain the formulae for area and volume of each shape. Learners complete the missing information in a chart that lists diameter, radius, height, and area and...
Curated OER
Volumes of Solids
In this volume worksheet, students observe diagrams and extrapolate the correct items to plug into a formula for volume. They find the volume of triangular prisms, cylinders, cones, rectangular prisms, and rectangular pyramids. Four of...
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
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Curated OER
Make the Shape into a Solid
In this geometry worksheet, students rewrite word problems using symbols and formulas. They calculate the volume of the different solids. There are 8 questions.