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What is the maximum number of cubes, each 3 centimeters on a

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What is the maximum number of cubes, each 3 centimeters on a [#permalink] New post 13 May 2018, 08:57
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Attachment:
cube (2).jpg
cube (2).jpg [ 12.2 KiB | Viewed 201 times ]


What is the maximum number of cubes, each 3 centimeters on an edge, that can be packed into a rectangular box with inside dimensions as shown above?

(A) 360

(B) 120

(C) 90

(D) 40

(E) 20
[Reveal] Spoiler: OA

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Re: What is the maximum number of cubes, each 3 centimeters on a [#permalink] New post 04 Jul 2018, 12:38
Carcass wrote:
Attachment:
cube (2).jpg


What is the maximum number of cubes, each 3 centimeters on an edge, that can be packed into a rectangular box with inside dimensions as shown above?

(A) 360

(B) 120

(C) 90

(D) 40

(E) 20


Here,

\(\frac{Box's total volume}{each cube's volume} = number of cubes\)

We know Box's total volume: Length * Width * Height

i.e. = 15 * 12 * 6


Volume of each cube: 3 * 3 * 3

Therefore no. of cubes that can be packed = \(\frac{(15 * 12 * 6)}{(3 * 3 * 3)} = 40\)
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Re: What is the maximum number of cubes, each 3 centimeters on a   [#permalink] 04 Jul 2018, 12:38
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