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15 Apr 2021, 01:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
81% (01:27) correct
19%
(01:41)
wrong
based on 68
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Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?
A. 1
B. 3/2
C. 2
D. 3
E. 6
Attachment:
1.png [ 5.75 KiB | Viewed 2036 times ]
15 Apr 2021, 02:06
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Given: Right triangle ABC is the base of the prism in the figure above. AB = AC = √2, the height of the prism = 3.
Volume of the prism =?
Area of triangular base = \(\frac{1}{2}\) * AB * AC = \(\frac{1}{2}\) * √2 * √2 = 1
Volume of the prism = Area of base * height of prism
Volume of the prism = 1 * 3 = 3
So, correct answer is option D.
Volume of the prism =?
Area of triangular base = \(\frac{1}{2}\) * AB * AC = \(\frac{1}{2}\) * √2 * √2 = 1
Volume of the prism = Area of base * height of prism
Volume of the prism = 1 * 3 = 3
So, correct answer is option D.
15 Apr 2021, 11:12
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I forgot the formula for the volume of a prism, however just remember we have a triangle and a height given to us. So like any solid geometry, logically arriving at the volume is possible. (Takes a bit of time).
