Unit 1, Lesson 19
Volume and Density
Integrated Math 3
19.1
Warm-up
Which has more mass, a thousand kilograms of feathers or a thousand kilograms of steel? Explain your reasoning.
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Which has more mass, a thousand kilograms of feathers or a thousand kilograms of steel? Explain your reasoning.
An aquarium manager drew a blueprint for a cylindrical fish tank. The tank has a vertical tube in the middle in which visitors can stand and view the fish.
The best average density for the species of fish that will go in the tank is 16 fish per 100 gallons of water. This provides enough room for the fish to swim while making sure that there are plenty of fish for people to see. There are 7.48 gallons of water in 1 cubic foot.
The aquarium has 275 fish available to put in the tank. Is this the right number of fish for the tank? If not, how many fish should be added or removed? Explain your reasoning.
Density is a measure of how tightly the amount of matter in a substance is packed into the space it takes up. That is, density is the mass of a substance per unit volume.