Answer:
5 cm.
Step-by-step explanation:
We have been given that a rectangular prism has a density of \(\frac{15\text{ g}}{\text{ cm}^3}\). 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.
\(\text{Density}=\frac{\text{Mass}}{\text{Volume}}\)
Upon substituting our given values in above formula, we will get:
\(15=\frac{5,625}{15*5*w}\)
\(15=\frac{5,625}{75*w}\)
\(15=\frac{75}{w}\)
\(w=\frac{75}{15}\)
\(w=5\)
Therefore, the width of the object is 5 cm.
