1.Which is more dense, a cube of aluminum with mass of 15 grams or a cube of iron with a mass of 24.5 grams, if both cubes have the same volume? Explain your answer 2. If a student places a cube of wood with a volume of 37.4 mL and a mass of 22.6 grams into a beaker of water, will the cube of wood sink or float? Explain how you know.
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1. The cube of iron

2. The cube of woof would float

Explanation:

1. Density is a measure of how much matter is in an amount of volume. If there is more matter in the same amount of volume, the cube is more dense because there are more particles in the same volume and therefore are more compacted. Therefore the cube of iron has a higher density, because it has more matter in the same volume, which is indicated by its larger mass (24.5kg compared to 15kg.)

2. The cube of wood would float. Anything with a density lower than water will float on top of it. To find the density of something we just need to divide its mass by its volume. The wood has a mass of 22.6g and a volume of 36.4mL so its density is 22.6/36.4=0.62g/ml. The density of water is 1g/ml so the density of the cube of wood is less than the density of water, which is why it would float.

Hope this helped!

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