SOLUTION: the volume of a rectangular pool is 1,080 cubic meters. its length, width, and depth are in the ratio 10:4:1. find the number of meters in each of the three dimensions of the pool.

Question 168680: the volume of a rectangular pool is 1,080 cubic meters. its length, width, and depth are in the ratio 10:4:1. find the number of meters in each of the three dimensions of the pool.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The length (L), width (W), and depth (D) are in the ratio of 10:4:1.
The volume is given as 1080 cu meters.
The formula for the volume of the pool ( a rectangular prism) is:
Substitute V = 1,080, L = 10x, W = 4X, and D = x.
Multiply.
Divide both sides by 40.
Take the cube root of both sides.

The length (L) is 10(3) = 30 meters.
The width (W) is 4(3) = 12 meters.
The depth (D) is 1(3) = 3 meters.
Check:

Cu.meters.

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