Answer:
5 cm.
Step-by-step explanation:
We have been given that a rectangular prism has a density of [tex]\frac{15\text{ g}}{\text{ cm}^3}[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The height of the object is 15 cm.
We will use density formula to solve our given problem.
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]15=\frac{5,625}{15*5*w}[/tex]
[tex]15=\frac{5,625}{75*w}[/tex]
[tex]15=\frac{75}{w}[/tex]
[tex]w=\frac{75}{15}[/tex]
[tex]w=5[/tex]
Therefore, the width of the object is 5 cm.
