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 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

Answer 1

Answer:

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

$z^{3} =\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=550\ m^3$

substitute the values

$(\frac{1}{10})^{3} =\frac{x}{550}$

Solve for x

$(\frac{1}{1,000}) =\frac{x}{550}$

$x=(\frac{1}{1,000})550$

$x=0.55\ m^3$

Answer 2

Answer:

0.55 m^3

Step-by-step explanation:

we have

substitute the values

Solve for x