SOLUTION: A rectangle tank with a square base is 1/4 full of water. The side length of the square base is 20 inches. When another 3000 cubic inches of water is poured into the tank, it becom

Algebra ->  Volume -> SOLUTION: A rectangle tank with a square base is 1/4 full of water. The side length of the square base is 20 inches. When another 3000 cubic inches of water is poured into the tank, it becom      Log On


   

Question 963390: A rectangle tank with a square base is 1/4 full of water. The side length of the square base is 20 inches. When another 3000 cubic inches of water is poured into the tank, it becomes 2/3 full. What is the capacity of the tank.
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
3000 cu in of water changed the volume from 1/4 to 2/3 so:
2/3-1/4=8/12-3/12=5/12=3000 cu in
If 3000 cu in is 5/12, capacity is (3000 cu in)/(5/12)=7200 cu in.
ANSWER: The capacity of the tank is 7200 cubic inches.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3000 cubic inches of volume is 2%2F3-1%2F4 of tank volume.

20%2A20%2AL=3000, using L for the length portion that corresponds to the 3000 inch^3 difference. The length along the rectangular tank directly corresponds to volume.

2%2F3-1%2F4
8%2F12-3%2F12
5%2F12

L is 5%2F12 of the whole length of the rectangular tank.
L=3000%2F%2820%2A20%29
L=30%2F4
L=15%2F2, inches.

With no further explanation,
3000%2812%2F5%29
600%2A12
highlight%287200%2Ainch%5E3%29, tank capacity