Answer :
The density of the solid is 0.4286 g/cm³.
To find the density of the solid, we need to use the formula for density, which is given by:
[tex]\text{Density} = \frac{\text{Mass}}{\text{Volume}}[/tex]
Here, the mass of the solid is given as 15.00 grams. The dimensions provided are length = 5.00 cm, width = 5.00 cm, and height = 1.40 cm.
First, we calculate the volume of the solid using the formula for the volume of a rectangular prism:
[tex]\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}[/tex]
Substituting the values:
[tex]\text{Volume} = 5.00 \text{ cm} \times 5.00 \text{ cm} \times 1.40 \text{ cm}[/tex]
[tex]\text{Volume} = 35.00 \text{ cm}^3[/tex]
Now we substitute the mass and the calculated volume into the density formula:
[tex]\text{Density} = \frac{15.00 \text{ g}}{35.00 \text{ cm}^3}[/tex]
[tex]\text{Density} = 0.4286 \text{ g/cm}^3[/tex]
