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.

Algebra ->  Proportions  -> Lessons -> 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.      Log On


   

Question 126814: 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) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
V+=+%2810%29x%2A%284%29x%2A%281%29x V = 1080 Cu m
1080+=+10x%2A4x%2Ax
1080+=+40x%5E3 Divide both sides by 40.
27+=+x%5E3 Take the cube root of both sides.
3+=+x
The dimensions are:
Length: 10x+=+10%283%29 = 30meters.
Width: 4x+=+4%283%29 = 12 meters.
Depth: x+=+3 + 3 meters.
Check:
V+=+L%2AW%2Ad
V+=+30%2A12%2A3
V+=+1080 Cu.meters.