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 550m3. what is the volume of the model
a.0.55 m ^3
b.2.75 m^3
c. 5.5 m ^3
d. 2.75 m^3

Option a. 0.55 m ^3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volume is equal to the scale factor elevated to the cubic

Let

z ----> the scale factor

x ----> the volume of the model of a grain silo in cubic meters

y ---> the volume of the actual silo in cubic meters

so

we have

substitute the values

Solve for x

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5