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Three cube-shaped aquariums that are five inches on each sid
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26 Oct 2019, 13:14
26 Oct 2019, 13:14
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Question Stats:
27% (02:44) correct
72% (02:49) wrong based on 62 sessions
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Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Re: Three cube-shaped aquariums that are five inches on each sid
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28 Oct 2019, 05:43
28 Oct 2019, 05:43
1
huda wrote:
Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Show: :: OA
B
Here,
Volume of 1 small cube = \(5^3 = 125\)
Total volume of all 3 cubes = \(3 * 125 = 375\)
Now, let check with each option
a) 6.9 : Volume of the cube = \((6.9)^3 = 328\). This is not possible since the volume of larger cube aquarium < 3 small cube aquarium
b) 8.4 : Volume of the cube = \((8.4)^3 = 592\). Now 50% of 592 = 296 = This is one possible solution, since 375 (smaller cube aquarium) > 50% of Larger aquarium
c) 9.5 : Volume of the cube = \((9.5)^3 = 857\). Now 50% of 857 = 428 = This is not possible as the volume of smaller cubes = 375 and is < 50% volume of larger aquarium
Option B
Re: Three cube-shaped aquariums that are five inches on each sid
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24 Apr 2020, 01:51
24 Apr 2020, 01:51
huda wrote:
Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing.
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Which of the following could be the length, in inches, of a side of the larger aquarium?
Indicate all possible value:
(A) 6.9
(B) 8.4
(C) 9.5
Show: :: OA
B
Isn't this a 3D shape problem ? It will be helpful if the tag is corrected
