The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard. Which box uses less cardboard, and how much less cardboard does it use?





Marlon built a ramp to put in front of the curb near his driveway so he could get to the sidewalk more easily from the street on his bike.If the ramp includes the flat piece as well as the angled piece and is made entirely out of concrete, what is the total amount of concrete in the ramp?





Bob bought a solid rubber doorstop to keep the air flowing between the rooms of his apartment.What is the minimum amount of rubber used to make the doorstop?





The hood above the stove in a restaurant kitchen is filled with fans and other ventilation parts.How much space is there inside the empty hood?





Two pyramids like the one below sit on top of the gates at the entrance to the bridge.Which expression shows how to determine the minimum amount of cement used to make each of the pyramids?





Kyle wants to wrap the box in wrapping paper. What is the minimum amount of paper needed to cover the entire box?





The top piece from a model of city hall is shown below.If Serena painted all the faces of the piece of the model, including the base, what area did she paint?





Polina has a glass vase in the shape of a rectangular prism with an open top, as shown below.What is the maximum amount of water that the vase can hold?





Morgan’s mother won a solid glass award at work with the dimensions below.If the award was wrapped in cellophane when it arrived, what is the minimum amount of cellophane that was used?





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