Answer:
A. 13.125cm
Explanation:
To solve for the width of the rectangular prism, we can use the formula for the volume of a rectangular prism, which is:
volume = length x width x height
We are given that the volume is 6,142.5 cm^3, the height is 16.25 cm, and the length is 28 cm. Let's substitute these values into the formula and solve for the width:
6,142.5 cm^3 = 28 cm x width x 16.25 cm
Dividing both sides by (28 cm x 16.25 cm), we get:
width = 6,142.5 cm^3 / (28 cm x 16.25 cm)
= 13.125 cm
Therefore, the width of the rectangular prism is 13.125 cm. So, the correct answer is A) 13.125 cm.