Question

The scale factor of a large swimming pool to a small swimming pool is 0.12. The large swimming pool can hold 15000 m cubed of water.
How much water can the small swimming pool hold?

25.92 m cubed

216 m cubed

1800 m cubed

12000 m cubed

Answer 1

The volume of the small pool is the product of the cube of the scale factor and the volume of the large pool. 25.92 m cubed.  Hope this helps.

Answer 2

Answer:

$25.92\ m^{3}$

Step-by-step explanation:

Let

x------> the volume of the small swimming pool

y------> the volume of the large swimming pool

z-----> the scale factor

we know that

The volume of the small swimming pool is equal to the scale factor elevated to the cube multiplied by the volume of the large swimming pool

so

$x=z^{3}y$

In this problem we have

$z=0.12, y=15,000\ m^{3}$

substitute

$x=0.12^{3}(15,000)=25.92\ m^{3}$