Question

Mitch has a swimming pool in his backyard. The rectangular swimming pool has a volume of 243 m cubed. The length of the pool is 9 m. His neighbor is building a pool with the same dimensions except the length of the pool will only be 3 m. What is the volume of his neighbor's pool?

Answer 1

Answer:

81$m^{3}$

Step-by-step explanation:

Since the question states that the only difference would be the length of the neighbor's pool then this is basically a ratio problem. Therefore, since the question provides 3 values and one variable we can solve this using the Rule of Three which takes the diagonal values multiplies them together, and divides by the last sole value to get calculate the variable like so...

243 $m^{3}$ volume  <=====>  9 m length

x $m^{3}$ volume  <=====>  3 m length

(3* 243) / 9 = 81$m^{3}$

Therefore, the volume of the neighbors pool will be 81$m^{3}$