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21 Aug 2018, 20:58
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B
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Difficulty:
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Question Stats:
76% (00:45) correct
24%
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wrong
based on 77
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A cube has a volume of 125 cubic centimeters. What is the length, in centimeters, of the longest possible straight line distance between two corners of the cube?
A. 5√2
B. 5√3
C. 10
D. 10√2
E. 20
A. 5√2
B. 5√3
C. 10
D. 10√2
E. 20
21 Aug 2018, 21:05
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Bunuel
Given, volume of cube=125cc
So, side length of the cube=5 cm
The longest possible straight line distance between two corners of the cube=\(\sqrt{3}\)*measure of side of the cube=\(\sqrt{3}*5=5√3\)
Ans. (B)
21 Aug 2018, 21:09
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Volume of cube = S^3 = 125
S = 5
The longest possible straight line distance between two corners of the cube is nothing but diagonal of the cube.
As it is a Cube, l=b=h
Diagonal of cube = √l^2+b^2+h^2
= √25+25+25
= √75
= 5√3
Hence B
Posted from my mobile device
S = 5
The longest possible straight line distance between two corners of the cube is nothing but diagonal of the cube.
As it is a Cube, l=b=h
Diagonal of cube = √l^2+b^2+h^2
= √25+25+25
= √75
= 5√3
Hence B
Posted from my mobile device
