Awli
What is the volume, in cubic meters, of the water in a certain rectangular tank, if the constant depth of the water is 1/3 feet?
1. The base of the rectangular tank is 6 feet wide and 8 feet long.
2. If water is drained from the tank until the depth of the remaining water is 1/4 feet, the volume of the drained water is 4 cubic feet.
This problem is asking us if we are able to find the volume of the water in the tank, note that we do not need to fully calculate, we just need all of the pieces to perform the calculation for sufficiency.
The formula for volume of a rectangular tank is L*W*H (Length x width x height) = volume
(1) Sufficient, the question stem provides us with the height of the water and the statement provides the legth and the width giving us sufficient information to answer the initial question posed.
Eliminate answers B, C, E here
(2) Sufficient, we need to look at the change happening to determine the length and width of the volume filled.
We can use the formula: Final-Initial = Change, or in this case L*W*Hfinal-L*W*Hinitial = Change in volume
Plugging in what we have provided from the question stem and the statement we get: L*W(1/4)-L*W(1/3) = -4
Factor out L*W: L*W(1/4-1/3) = -4
L*W(3/12-4/12) = -4
L*W(-1/12) = -4
L*W = 48
Now that we have L*W = 48 and a final remaining H of 1/4 we have all of the information needed to sufficiently calculate the volume in the tank at either point in time.
Sufficient.
Select answer choice D
Hope this is clear if you have questions do not hesitate to ask or if you have a better way please share!