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09 Oct 2020, 03:15
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
66% (02:21) correct
34%
(02:33)
wrong
based on 107
sessions
History
Date
Time
Result
Not Attempted Yet
Hexagon ABCDEF is a regular hexagon with a perimeter of 48. What is the volume of the uniform prism shown?
A. \(96\)
B. \(96 \sqrt{3}\)
C. \(1,104\)
D. \(1,472 \sqrt{3}\)
E. \(2,208 \sqrt{3}\)
Attachment:
1.jpg [ 28.59 KiB | Viewed 3282 times ]
09 Oct 2020, 03:20
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Bunuel
CONCEPT: Volume = Cross Sectional Area * Length upto which that is extended
e.g. in Cylinder, Volume \(= (πr^2)*h\)
e.g. in Cylinder, Volume \(= (πr^2)*h\)
i.e. in this Hexagonal Prism, Volume = Area of Hexagon*Height
Volume of Prism = Area of Hexagon*Height
Height = 23
Hexagon Perimeter = 48 = 6*side
i.e. SIde of Hexagon = 48/6 = 8
area of Hexagon = 6*ARea of equilateral triangle with same side length \(= 6*(\frac{√3}{4})*8^2 = 96√3\)
i.e. Volume of Prism \(= 96√3*23 = 2208√3\)
Answer: Option E
25 Dec 2022, 17:22
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