A solid block of substance is 74.0cm x 55.0cm x 35.0cm and has a mass of 5.69 x 105g. (569000) Assuming that it did not chemically react with water or dissolve in it, would it float in water?

No, it would sink in water.

Explanation:

Firstly, note that whether an object will float or sink in water is dependent on the density of the object and the water. To calculate density of the object, volume and mass is required.

According to the question, a solid block of substance is 74.0cm x 55.0cm x 35.0cm i.e. the Length (L), width (W) and height (H) are 74cm, 55cm, and 35cm respectively.

Volume = L × W × H

Volume = 74 × 55 × 35

Volume = 142,450 cm^3

Mass of the solid object = 5.69 x 105g. i.e. 569000g

Density = mass / volume

Density = 569000/142450

Density = 3.99438

The density of the solid object is 3.99g/cm^3

Consider the fact that the Density of water is 1g/cm^3. An object will FLOAT in water if the density is lower than that of water while it will SINK if the density is higher than that of water.

Since the density of the solid object is 3.99g/cm^3, which is higher than that of water (1.0 g/cm^3), the solid object will SINK in water.