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555-605 (Medium)|   Geometry|      
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Bunuel
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In the figure above, x, y and z are the dimensions of the rectangular 08 Dec 2017, 03:43
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25% (medium)

Question Stats:

73% (01:06) correct 27% (01:20) wrong based on 94 sessions

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In the figure above, x, y and z are the dimensions of the rectangular solid, and each of these dimensions is an integer greater than 1. Each of the following could be the volume of the rectangular solid except

(A) 8
(B) 12
(C) 24
(D) 27
(E) 69

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E
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In the figure above, x, y and z are the dimensions of the rectangular 08 Dec 2017, 04:05
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Bunuel

In the figure above, x, y and z are the dimensions of the rectangular solid, and each of these dimensions is an integer greater than 1. Each of the following could be the volume of the rectangular solid except

(A) 8
(B) 12
(C) 24
(D) 27
(E) 69

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2017-12-08_1440.png
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(A) 8 = 2*2*2
(B) 12 =2*2*3
(C) 24 = 2*4*3
(D) 27 = 3*3*3
(E) 69 = 3* 13 * 1..not possible

E
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In the figure above, x, y and z are the dimensions of the rectangular 08 Dec 2017, 07:47
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Bunuel

In the figure above, x, y and z are the dimensions of the rectangular solid, and each of these dimensions is an integer greater than 1. Each of the following could be the volume of the rectangular solid except

(A) 8
(B) 12
(C) 24
(D) 27
(E) 69

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Among the choices only "69" can't be factored into three integers , each factor greater than One to fit the volume of rectangular solid (V = h * w * d)
So, Answer is E
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In the figure above, x, y and z are the dimensions of the rectangular 26 Feb 2018, 00:12
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Sorry if this is a silly question, isn't a cube different from a rectangular solid?
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Bunuel
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In the figure above, x, y and z are the dimensions of the rectangular 26 Feb 2018, 00:16
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minatminat
Sorry if this is a silly question, isn't a cube different from a rectangular solid?
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All cubes are rectangular solids but not vise-versa.
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In the figure above, x, y and z are the dimensions of the rectangular 26 Feb 2018, 00:21
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Split the answer options using the prime factorization method, but stop once you can split into 3 smaller factors to save time. The answer choice that is unable to give you 3 number of factors (excluding 1 & itself) is the answer.

A) 8 = 4*2 = 2*2*2 (ok)
B) 12 = 2*6 = 2*2*3 (ok)
C) 24 = 2*12 = 2*2*6 (ok)
D) 27 = 3*9 = 3*3*3 (ok)
E) 69 = 3*23

As 23 is a prime number and cannot be further split other than 1 and itself, E is the answer.
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In the figure above, x, y and z are the dimensions of the rectangular 26 Feb 2018, 00:36
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Bunuel
minatminat
Sorry if this is a silly question, isn't a cube different from a rectangular solid?

All cubes are rectangular solids but not vise-versa.
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Thanks so much for replying me!!
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In the figure above, x, y and z are the dimensions of the rectangular 13 May 2019, 22:31
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Bunuel

In the figure above, x, y and z are the dimensions of the rectangular solid, and each of these dimensions is an integer greater than 1. Each of the following could be the volume of the rectangular solid except

(A) 8
(B) 12
(C) 24
(D) 27
(E) 69

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2017-12-08_1440.png
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Volume= a*b*c, where a,b,c > 0 and a,b,c are INTEGERS

For 69 can be broken into= 3*23*1, not possible.
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