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Sajjad1994
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What is the maximum number of cubic blocks of wood that will fit into 14 Aug 2017, 04:36
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C
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88% (00:46) correct 13% (00:28) wrong based on 56 sessions

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What is the maximum number of cubic blocks of wood that will fit into a box?

(1) The edge of each block is 2 inches long.
(2) The box has the shape of a rectangular solid with inner dimensions 20 inches by 40 inches by 16 inches.

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C
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mikemcgarry
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What is the maximum number of cubic blocks of wood that will fit into 14 Aug 2017, 16:55
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SajjadAhmad
What is the maximum number of cubic blocks of wood that will fit into a box?

(1) The edge of each block is 2 inches long.
(2) The box has the shape of a rectangular solid with inner dimensions 20 inches by 40 inches by 16 inches.

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Dear SajjadAhmad,

I'm happy to respond. :-)

As I am sure you understand, this is relatively easy question. We know from the prompt that the blocks are cubes. That's important.

Statement #1 alone: we know the size of the cubes but not the size of the box. Insufficient.
Statement #2 alone: we know the size of the box but not the size of the cubes. Insufficient.

Combined: we know the exact size of the cubes and of the box, so we can calculate exactly how many cubes go into the box. We don't need to do the calculation. We have sufficient information.

OA = (C)

Does all this make sense?
Mike :-)
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What is the maximum number of cubic blocks of wood that will fit into 14 Aug 2017, 21:28
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SajjadAhmad
What is the maximum number of cubic blocks of wood that will fit into a box?

(1) The edge of each block is 2 inches long.
(2) The box has the shape of a rectangular solid with inner dimensions 20 inches by 40 inches by 16 inches.

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Easy one
Statement 1: alone cannot give us the answer because by knowing the dimension of a cube we cannot tell the actual number of that fit into a box.
Statement 2: is also not sufficient to answer because by knowing the dimension of we cannot tell the actual no of cubes that fit into the box so knowing dimensions of the cube is necessary.
On combining S1 and S2, we get the dimensions of cube and box and hence both statements together are sufficient to answer the question
Hence C is the Answer
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What is the maximum number of cubic blocks of wood that will fit into 19 Aug 2022, 21:00
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Yes, combining the two will make the data sufficient for the calculation. Ans is C. Just to complete the concept the calculation would be for 3 cases (orientations of the bigger boxes), as we have a cube its orientation would not make a difference.

Case 1: Bigger box is 20*40 with height 16
Number of cubes per layer = (20*40)/(2*2) =200
Number of layers =16/2 = 8
Total cubes fit = 200*8 = 1600

Case 2: Bigger box is 20*16 with height 40
Number of cubes per layer = (20*16)/(2*2) =80
Number of layers =40/2 = 20
Total cubes fit = 20*80 = 1600

Case 3: Bigger box is 16*40 with height 20
Number of cubes per layer = (16*40)/(2*2) =160
Number of layers =20/2 = 10
Total cubes fit = 160*10 = 1600

In all three cases we end up with the max fit. mikemcgarry I am curious if i could have foreseen this by the dimensions, if yes how? or is this just a coincidence and calculating all cases is required always to know the maximum number
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