Given, width of a rectangular prism = 92ft.
Volume of a rectangular prism = [tex] 240 ft^3 [/tex]
Given, width of a similar prism = 23ft.
As similar prism given, so we have to find the width of the rectangular prism is how much times the width of the similar prism. We can get it by dividing the widths. We will get,
[tex] \frac{92}{23} = 4 [/tex]
So the width of the rectangular prism is 4 times the width of the similar prism.
As the width is 4 times, so the volume of the reactangular prism will be [tex] 4^3 [/tex] times the similar prism. So we will divide 240 by [tex] 4^3 [/tex] to get the required volume.
So the volume of the similar prism = [tex] \frac{240}{4^3} [/tex]
= [tex] \frac{240}{64} [/tex]
= [tex] 3.75 [/tex] = 3.8 (Approximately taken to the nearest tenth)
We have got the required answer.
The volume of the similar prism is [tex] 3.8 ft^3 [/tex]
