a cube of material of side 3cm ( nearest mm) and mass 27 grams (nearest 10th of a gram) is placed into a bowl of deep water. Will the material sink or float? explain answer with suitable calcuations
it will float if its density is less than water's (1g/cm^3)
so, figure your density and then answer the question.
To determine whether the cube of material will sink or float in water, we need to compare its density with the density of water. Density is a measure of how much mass is contained in a given volume. If the density of the material is greater than the density of water, it will sink. If it is lower, it will float.
To find the density of the cube, we need the mass and volume. The mass of the cube is given as 27 grams (nearest 10th of a gram). However, we don't know the volume of the cube.
Since the cube has sides measuring 3 cm (nearest mm), we can calculate its volume by finding the product of its length, width, and height. Since it is a cube, all sides have the same length, so we can simply multiply 3 cm by itself three times.
Volume of the cube = (3 cm) x (3 cm) x (3 cm)
= 27 cm³
Now that we have the volume of the cube, we can calculate its density by dividing the mass by the volume.
Density of the cube = Mass / Volume
= 27 grams / 27 cm³
= 1 gram/cm³
Now, we need to compare the density of the cube (1 gram/cm³) with the density of water, which is approximately 1 gram/cm³. Since the density of the cube is equal to the density of water, the cube will neither sink nor float. It will remain suspended in the water.