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 cubed216 m cubed1800 m cubed12000 m cubed

Answer:[tex]25.92\ m^{3}[/tex]Step-by-step explanation:Letx------> the volume of the small swimming pooly------> the volume of the large swimming poolz-----> the scale factorwe know thatThe volume of the small swimming pool is equal to the scale factor elevated to the cube multiplied by the volume of the large swimming poolso[tex]x=z^{3}y[/tex]In this problem we have [tex]z=0.12, y=15,000\ m^{3}[/tex]substitute [tex]x=0.12^{3}(15,000)=25.92\ m^{3}[/tex]