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?





A metronome is a device that ticks at adjustable intervals to help keep time when playing music. The metronome on Ryan’s piano has the basic shape below.If the metronome was created out of a piece of solid wood, what is the minimum amount of solid wood that was used?





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?





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?





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?





The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can replace it.How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

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?





The approximate measurements of the Great Pyramid of Khufu are shown below.What is the surface area of the pyramid?





Anderson’s Nursery was choosing between two different greenhouses.Which statements are true about the greenhouses? Select two options.






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