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...

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...

How can we find volume if it a shape isn't easy to measure? Investigate methods for determining this as the volume of regular and irregular objects is explored in several stations. Learners discover that when the standard formula for...

Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.

To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...

Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...

Measuring volume can be a mystery for 5th graders, but this hands-on activity gives the gift of discovery. The volume of simple rectangular solids and irregular shapes are calculated through various methods including displacing liquid in...

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...

Students explore volume and surface area. In this math lesson, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.

Using a concept attainment approach, learners identify surface area and volume by sorting examples (photos) that depict each concept (positive)  from those that don't (negative). Then as a class, they develop definitions of each...

Looking for a well-done presentation on capacity and volume? Then this presentation is for you! Capacity and volume are commonly mistaken for each other by young mathematicians. Of course, one is a measurement of how much a container...

Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.

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...

Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.

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...

Students find the density of diet soda and regular soda. In this density lesson plan, students measure the mass of a graduated cylinder with 10 different volumes of each soda. They find the mass of the liquid alone and use the volume to...

Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.

Your classes will be wide awake during a piping hot lesson! Introduce the resource with a video of the world-record-breaking cup of coffee. Learners work to determine the volume of the cup of coffee to predict if it will break the record.

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...