The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions. 

Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...

Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...

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...

Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...

The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...

Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...

Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 

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...

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...

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...

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...

It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...

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...

How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...

Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...

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.

In this measuring volume worksheet, learners are given 2 diagrams for 24 problems. In the first diagram they are given a graduated cylinder with an initial volume of water. In the second diagram they are give a graduated cylinder with an...

In this volume activity, 10th graders solve 10 different word problems that include determining the volume in each one. First, they determine the ratio of their radius given the cubic meters of a sphere. Then, students determine the...

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...

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 volume and surface area worksheet, students use given formulas to determine the volume and area of polyhedrea. This four-page worksheet contains examples, explanations and 32 problems. Answers are provided on the fourth page.

In this volume and surface area worksheet, 10th graders solve and complete 10 different word problems that include measuring various solids and cylinders. First, they determine the surface area of a cube and the edge of it. Then,...

In this volume worksheet, young scholars examine given diagrams and then find the volume of a rectangular prism, a cylinder and a triangular prism. This one-page worksheet contains 3 problems. Answers are provided beside each problem.