Answer:
3 inches
Step-by-step explanation:
Given that the volume of the rectangular prism or a cylinder needs to be [tex]258\frac{3}{4}[/tex] cubic inches. The container being made is a rectangular prism with a height of [tex]11\frac{1}{2}[/tex] inches and length of [tex]7\frac{1}{2}[/tex] inches.
A rectangular prism is a polyhedron with six rectangular faces.
Therefore the required width (w) needed to produce a container with a volume of [tex]258\frac{3}{4}[/tex] cubic inches is given by:
volume of a rectangular prism = height * width * length
Substituting:
[tex]258\frac{3}{4}[/tex] = [tex]11\frac{1}{2}[/tex] * [tex]7\frac{1}{2}[/tex] * w
258.75 = 11.5 * 7.5 * w
w = 258.75 / (11.5 * 7.5)
w = 3 inches
The required width is 3 inches
