If a rectangular prism has a length of $20$20 cm, width of $9$9 cm, and height of $5$5 cm, find the new volume when the length is scaled by a factor of $2$2.
A rectangular prism has dimensions $13$13 cm by $10$10 cm by $9$9 cm.
Determine the volume after the height is scaled by a factor of $3$3.
A rectangular prism has dimensions $17$17 cm by $15$15 cm by $7$7 cm.
Determine the new volume when the width is scaled by a factor of $4$4.
If the length of a rectangular prism is $14$14 cm, the width is $7$7 cm, and the height is $15$15 cm, find the new volume after the length is scaled by a factor of $\frac{1}{2}$12.