Question

the scale factor of a model of a grain silo to the actual silo is 1 to 10. The volume of the actual silo is 550 m3.

What is the volume of the model?
(Points : 4)
0.55 m3
2.75 m3
5.5 m3
27.5 m3

Answer 1

Hint : If lengths are in ratio `1:10`, then volumes will be in ratio `1^3 : 10^3`

Answer 2

first time i ever say \(1^3\)

Answer 3

haha! simply divide the actual volume by `10^3` for the volume of model :

\[\dfrac{V}{550} = \dfrac{1^3}{10^3}\]

\[V= \dfrac{550}{10^3} \\~\\~\\ ~=~?\]