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Retired Moderator
Joined: 16 Apr 2020
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WE:Education (Education)
The ratio of length, breadth and height of a rectangular box is 8:4:1
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08 May 2021, 07:17
08 May 2021, 07:17
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Question Stats:
25% (02:16) correct
75% (03:05) wrong based on 4 sessions
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The ratio of length, breadth and height of a rectangular box is 8 : 4 : 1 respectively and the sum of length, breadth, and height of the box is 156 units. How many cylinders of height 1 unit and radius 1.5 units can be fixed inside the box, if cylinders are kept on its base?
A. 644
B. 3233
C. 5234
D. 6144
E. 7288
A. 644
B. 3233
C. 5234
D. 6144
E. 7288
Re: The ratio of length, breadth and height of a rectangular box is 8:4:1
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08 May 2021, 23:39
08 May 2021, 23:39
E?
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
The ratio of length, breadth and height of a rectangular box is 8:4:1
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09 May 2021, 04:02
09 May 2021, 04:02
2
Explanation:
Length = 8x
Breadth = 4x
Height = x
L + B + H = 156
8x + 4x + x = 156
13x = 156
x = 12
Length = 96
Breadth = 48
Height = 12
Now, we are given diameter of cylinder as 3 and height as 1
Since, we need to place them on the base (LB)
We will have \(\frac{96}{3}\) = 32 rows and \(\frac{48}{3}\) = 16 columns
i.e. each layer of (32)(16) = 512 cylinders with height 1
We have height as 12, so a total of (12)(512) = 6144 cylinders
Hence, option D
Length = 8x
Breadth = 4x
Height = x
L + B + H = 156
8x + 4x + x = 156
13x = 156
x = 12
Length = 96
Breadth = 48
Height = 12
Now, we are given diameter of cylinder as 3 and height as 1
Since, we need to place them on the base (LB)
We will have \(\frac{96}{3}\) = 32 rows and \(\frac{48}{3}\) = 16 columns
i.e. each layer of (32)(16) = 512 cylinders with height 1
We have height as 12, so a total of (12)(512) = 6144 cylinders
Hence, option D
