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15 Nov 2019, 13:12
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There is a rectangular solid such that the total surface area is 600 and the rectangular solid consists of n small cubes with its volume 8. What is the greatest value of n?
A. 85 B. 100 C. 125 D. 200 E. 225
Hello all!
I couldn't figure out how to approach this geometry problem without making it too complicated.
Can anyone please help me on this?
:please
Thank you!
A. 85 B. 100 C. 125 D. 200 E. 225
Hello all!
I couldn't figure out how to approach this geometry problem without making it too complicated.
Can anyone please help me on this?
:please
Thank you!
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Is the answer C?
The dimensions of the rectangular box must be 10 X 10 X 6, and each side of cube is 2 , so we have 5 boxes on the length's side x 2 sides containing 5-5 boxes each, i.e 25 boxes , 5 on width , hence 5 X 5 X 5 = 125.
The dimensions of the rectangular box must be 10 X 10 X 6, and each side of cube is 2 , so we have 5 boxes on the length's side x 2 sides containing 5-5 boxes each, i.e 25 boxes , 5 on width , hence 5 X 5 X 5 = 125.
15 Nov 2019, 14:46
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Well, I think I've got this one.
To find the greatest value of N we need the greatest possible volume.
Given that hl+hw+lw = 300, the greatest possible volume must have 3 equal lengths ( 5*5*5 is bigger than 5*4*6 and so on)
300/3 = 100, so we assume that each of hl, hw, and lw is 100, so each equal side = 10 and the maximum volume = 1000. Finding the maximum volume just divide it by 8 (hlw/8 = n) and you have the result. C
To find the greatest value of N we need the greatest possible volume.
Given that hl+hw+lw = 300, the greatest possible volume must have 3 equal lengths ( 5*5*5 is bigger than 5*4*6 and so on)
300/3 = 100, so we assume that each of hl, hw, and lw is 100, so each equal side = 10 and the maximum volume = 1000. Finding the maximum volume just divide it by 8 (hlw/8 = n) and you have the result. C
