Question

Berto has two cubes made of different substances. The dimensions of the cubes are shown in the illustration belovw. Roberto Measures the mass of each cube using a balance and records the measurements in the table below. When Robert placed the cubes in water, he finds that one cube flotes. one cube sinks.

What is the density in grams of the cube that will sink in water ​

Answer 1

The density of Cube A, which sinks in water, is approximately
`\(3.33 \, \text{g/cm}^3\).`This is calculated by dividing its mass (90 g) by its volume (27 cm³).

In the scenario presented, Cube A, with dimensions 3 cm x 3 cm x 3 cm and a mass of 90 grams, is found to sink in water. To determine the density of Cube A, one can employ the formula:
`\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \].` The volume of Cube A, calculated as
`\(3 \, \text{cm} * 3 \, \text{cm} * 3 \, \text{cm} = 27 \, \text{cm}^3\), allows for the computation of density. Plugging in the given mass of 90 grams, the density of Cube A is found to be \( \frac{90 \, \text{g}}{27 \, \text{cm}^3} \), resulting in a density of approximately \(3.33 \, \text{g/cm}^3\). Therefore, the density in grams per cubic centimeter of the cube that sinks in water, Cube A, is approximately \(3.33 \, \text{g/cm}^3\).`

The probable question maybe:

If Cube A, with dimensions 3 cm x 3 cm x 3 cm and a mass of 90 grams, sinks in water, what is the density, in grams per cubic centimeter, of Cube A?