Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...

Young scholars review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises...

In this volume and surface area worksheet, students compute the volume and surface area of 8 shapes. Four shapes are rectangular prisms, four shapes are cylinders.

What do we do when a dive is too dangerous for humans to accomplish? Send in the robots! Middle school scientists get acquainted with several different models of submersible robots in the second lesson of six from NOAA. Lab groups then...

In this geometric shapes worksheet, 7th graders solve and complete 8 different problems that include working in a 3-D sudoku puzzle. First, they determine the area of a circle of a sphere to the nearest tenth. Then, students determine...

In this volume worksheet, 6th graders solve 5 different problems related to determining the volume of various objects. They determine the volume of a rectangular prism, a cone, a cube, a pyramid, and a cylinder.

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...

In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...

In this cylinder worksheet, students compare three different cylinders to experiment which one has the greatest volume. Students interact with rectangles as they experiment with the cylinders.

For this solids worksheet, students compute the volume of prisms, cylinders, pyramids, spheres and cones.  This seven-page worksheet contains approximately 68 problems. 

Middle schoolers construct a basic cylinder out of a piece of paper, then answer seven questions about their cylinder. Questions have to do with measurement, volume, radius, etc.

Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...

Students investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.

Following this procedure, eager engineers construct a working model of a piston system, similar to that in an internal combustion engine. Perfect for STEM or automotive technology classes, the activity comes complete with analysis and...

Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...

In this finding and ordering volumes worksheet, students solve the volumes, use the information to put them in order from least volume to greatest volume, and answer word problems. Students solve 11 problems. 

A fabulous four-page assignment explores volume formulae for rectangular prisms, cylinders, cones, and pyramids. Pupils apply the formulas to solve problems, match diagrams to values, and address real-world scenarios. A detailed answer...

For this 3D shapes worksheet, 10th graders solve and complete 6 various types of problems. First, they find the radius of a cylinder described. Then, students determine the volume of a pyramid shown. In addition, they find the volume of...

In this areas and volumes worksheet, students find the area of truncated cones and elliptical cylinders.  They find the area by using one of three methods:  the disk method, the shell method, and using geometry.  This...

In this integral worksheet, students use double integration to find area and volume. They identify the limits of a sequence. This one-page worksheet contains 11 problems.

Math can be a problem in eighth grade. Sample items show how problem solving exists within the eighth grade standards. Part of the Gr. 8 Claim 2 - 4 Item Slide Shows series, the presentation contains eight items to illustrate the...

Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the...

Clarify the Common Core standards for your eighth grade mathematicians with this series of classroom displays. By rewriting each standard as an achievable "I can" statement, these posters give students clear goals to work toward...

In this solids instructional activity, 10th graders solve and complete 10 different word problems that include determining the volume and surface area of various solids. First, they determine the surface area of a cube as described....