Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...

How long does it take to fill a typical swimming pool? Prepare your pupils to answer similar questions using the 28th lesson in the 29-part module. The engaging lesson asks individuals to solve problems connected to the flow rate. All...

Learners calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.

If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...

Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...

How many Girl Scout cookies can you fit in a trunk? Learners consider this question after watching a video of an SUV being filled to the top with single boxes of the cookies. They use measurements of the trunk and the box of cookies to...

In this volume worksheet, learners determine the number of cuboids needed to create a rectangular prism of a particular size. They determine the mass, volume and density of cereal boxes. Students determine the volume of rectangular...

In this perimeter of shapes instructional activity, 10th graders find the perimeter of the shapes illustrated. Then, they find the volume of each shape shown. Students also match the shape with its correct name on the left and find the...

Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.

Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...

When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...

Perfect for visual and hands-on learners, an engaging lesson prompts pupils to consider the different-sized boxes they can create from a piece of cardboard. They develop a model to determine the size of the box with the greatest...

In this volume worksheet, students find the volume of 6 solids.  Students find the volume of rectangular and triangular prisms.

In this volume worksheet, students are given the equations for finding the volume of a cube and the volume of a prism. They solve two multi-part problems finding the volumes of different solids.

What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...

Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions....

Turn your pupils into engineers who are able to use scientific principals to design a ship. This long-term project expects pupils to understand concepts of density, buoyancy, displacement, and metacenter, and apply them to constructing a...

In this volume worksheet, students solve 12 short answer and multiple choice problems. Students find the dimensions of prisms given their volume in terms of quadratic and a linear expression.

Young scholars compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, young scholars use their computers to determine the...

So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the activity develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...

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.

Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change. 

Build foundational knowledge of volume by building boxes. Given dimensions for a piece of grid paper, young mathematicians determine the number of possible open-top boxes it will make. As part of this task, they also find the box with...