Answer:
The measure of the missing dimension (width) is 8 m.
Step-by-step explanation:
A rectangular prism (also called cuboid) has a volume of [tex]2288 m^3[/tex].
The volume of a rectangular prism is given as:
V = length * width * height
[tex]V = l * w * h[/tex]
The prism has a height of 13 m, and a length of 22 m.
The missing dimension is the width.
To find the width, we make width subject of the volume formula:
[tex]w = \frac{V}{l * h}[/tex]
Hence, the width is:
[tex]w = \frac{2288}{13 * 22} \\\\w = 8 m[/tex]
The measure of the missing dimension (width) is 8 m.