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29 Mar 2018, 00:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:02) correct
19%
(01:28)
wrong
based on 45
sessions
History
Date
Time
Result
Not Attempted Yet
A rectangular crate is packed to capacity with 216 3-inch cubes. What is the volume, in cubic inches, of the crate?
(A) 24
(B) 72
(C) 648
(D) 1,944
(E) 5,832
(A) 24
(B) 72
(C) 648
(D) 1,944
(E) 5,832
Updated on: 29 Mar 2018, 01:29
Originally posted by Gladiator59 on 29 Mar 2018, 00:56.
Last edited by Gladiator59 on 29 Mar 2018, 01:29, edited 1 time in total.
Last edited by Gladiator59 on 29 Mar 2018, 01:29, edited 1 time in total.
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Bunuel
Volume of crate = volume of all the things it can hold
\(V = 216*3^3 = (200 + 16)*27 = 5400 + 16*27\)
Hence answer is > 5400
Hence Option (C) is correct.
Best,
Gladi
-----------edited
29 Mar 2018, 01:00
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Bunuel
A 3 inch cube has a volume of \(3^3 = 27\) inches.
216 such cubes occupy a volume of \(216*27\) cubic inches(ends with a 2 and a big number)
Therefore, the rectangular crate which contains 216 3-inch cubes will occupy a volume of 5832 cubic units(Option E)
P.S You don't need to make the calculations if you combine rules from units digit(sometimes)
