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Sub 505 (Easy)|   Geometry|      
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The length, width, and depth of a rectangular tank are 6 feet, 5 feet 15 Jul 2019, 01:34
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95% (01:15) correct 5% (00:46) wrong based on 59 sessions

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The length, width, and depth of a rectangular tank are 6 feet, 5 feet, and 7 feet, respectively. A hose supplies water at a rate of 6 cubic feet per minute. How much time in minutes would it take to fill a conical tank whose volume is three times the volume of the rectangle tank?

A. 90
B. 95
C. 100
D. 105
E. 110
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D
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The length, width, and depth of a rectangular tank are 6 feet, 5 feet 15 Jul 2019, 01:39
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Volume= 6*5*7= 210 cm3
Rate- 6 cm3/min

Volume of conical tank- 3*210 cm3
time required- (3*210)/ 3*2

time=105 mins

Ans D
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The length, width, and depth of a rectangular tank are 6 feet, 5 feet 15 Jul 2019, 01:42
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Bunuel
The length, width, and depth of a rectangular tank are 6 feet, 5 feet, and 7 feet, respectively. A hose supplies water at a rate of 6 cubic feet per minute. How much time in minutes would it take to fill a conical tank whose volume is three times the volume of the rectangle tank?

A. 90
B. 95
C. 100
D. 105
E. 110
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Time taken = 3* (6*5*7) / 6 = 105 minutes.

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The length, width, and depth of a rectangular tank are 6 feet, 5 feet 15 Jul 2019, 09:04
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Bunuel
The length, width, and depth of a rectangular tank are 6 feet, 5 feet, and 7 feet, respectively. A hose supplies water at a rate of 6 cubic feet per minute. How much time in minutes would it take to fill a conical tank whose volume is three times the volume of the rectangle tank?

A. 90
B. 95
C. 100
D. 105
E. 110
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cone vol ; 6*5*7 * 3
and rate ; 6 ft^3 per min
so time ; 5*7*3*6/6 ; 105
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The length, width, and depth of a rectangular tank are 6 feet, 5 feet 15 Jul 2019, 10:42
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Quote:
The length, width, and depth of a rectangular tank are 6 feet, 5 feet, and 7 feet, respectively. A hose supplies water at a rate of 6 cubic feet per minute. How much time in minutes would it take to fill a conical tank whose volume is three times the volume of the rectangle tank?
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We have a rectangular tank with the following parameters:
L = 6ft
W = 5ft
D = 7ft

Water fills the tank with the rate = 6ft^3/min
Conical tank Volume = 3 x Rectangular Tank Volume

We need to find out how much time would it require to fill in the Conical Tank.

First of all, let us find the volume of rectangular tank: V = L * D* W = 6 * 7 * 5 = 210 ft^3
Second, the form of the tank does not play any role since we know that the volume of conical tank is three times larger than the volume of rectangular tank. Thus, to find out the time for the tank to fill:
Time = Volume of Conical Tank / Rate = 3 * Volume of Rectangular Tank / Rate
Time = 3 * 210 / 6 = 105 ft^3

Answer: D
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