Florida Center for Instructional Technology
Two for One Box Company
Given a box of certain dimensions, young mathematicians must determine if a box that is twice as big, actually holds twice as much. This is a brain-teaser of a problem. The worksheet provides a handy table that has learners calculate the...
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.
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...
Illustrative Mathematics
Box of Clay
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 physical models...
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, students calculate the volumes and missing lengths of seven prisms. The solutions are provided.
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Radford University
Surface Area of Boxes
Explore surface area out of the box. Pairs investigate surface area by measuring two boxes and calculating the area of each side. Classmates trace one of the boxes onto butcher paper and create a net with the same area. Groups then...
Curated OER
Surface Area and Volume
Accompanying the lesson at www.shodor.org, this worksheet present students with a series of questions about the volume and surface area of a rectangular prism and a triangular prism. Students predict how these values would change if the...
California Education Partners
Yum Yum Cereal
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 shelves,...
Curated OER
Two for One Box Company
Eighth graders experiment to decide if a box that is twice as big holds twice a much. They work the concept of volume and how changing dimensions affect it.
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Curated OER
Collecting the Rays
Pupils investigate the affect shape has on the ability of a solar panel to collect sunlight. In this collecting sunlight using a solar panel lesson plan, students determine which solar panel shape collects the most sunlight. Pupils use...
Curated OER
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find the...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on advice people...
Curated OER
Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
Curated OER
Tiling the Plane
Students use pattern blocks and triangular grid paper to review shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked: "Have you ever seen a floor or a wall...