a rectangular prism has a width of 92ft. and a volume of 240ft^3. Find the volume of a similar prism with a width of 23ft. Round to the nearest tenth if necessary.

Question

a rectangular prism has a width of 92ft. and a volume of 240ft^3. Find the volume of a similar prism with a width of 23ft. Round to the nearest tenth if necessary. 
a)3.8ft^3
b)60ft.^3
c)15ft.^3
d)10.4ft.^3

I am totally cinfused by this. Can somebody please help me? I would appreciate it. Thankss.

Reiny · Answer

the volume of two "similar" shapes is proportional to the cubes of the corresponding sides

so if the new volume is V then

V/240 = 23^3/92^3
V = 240(12167)/778688
= 3.75

so it looks like a) is the correct answer

Shannon · Answer

thank you Reiny!

Ano · Answer

That answer makes no sense though the width of the simmulair prism is already 23ft so 3.8ft^3 isn't a bigger number than 23ft also when you multiply the length and the height it will no were be 3.8^3 so good job stupid.