GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The figure above shows a solid with thickness of 1, a square
[#permalink]
15 May 2020, 11:53
15 May 2020, 11:53
1
1
Expert Reply
9
Bookmarks
00:00
Question Stats:
23% (02:07) correct
76% (01:44) wrong based on 126 sessions
Hide Show timer Statistics
The figure above shows a solid with thickness of 1, a square base and a square top, and 4 identical trapezoids as side surfaces. What is the surface area of the solid?
Consider all that apply
A. 38
B. 50
C. \(34 \sqrt{2}\)
D. \(34+4 \sqrt{2}
\)
E. \(34+16 \sqrt{2}\)
Show: ::
Attachment:
#greprepclub The figure above shows a solid with thickness.jpg [ 16.88 KiB | Viewed 5352 times ]
Re: The figure above shows a solid with thickness of 1, a square
[#permalink]
15 May 2020, 14:37
15 May 2020, 14:37
7
2
Bookmarks
area of top square = 3*3 = 9
area of bottom square = 5*5 = 25
area of trapezoid = 1/2(sum of parallel sides) * distance between them
distance between parallel side can be calculated from triangle abc:
ab = 1 (depth of solid), bc = 1 (1/2(length of bottom square-length of top square)) by right angle triangle ac = √2
area of a trapezoid = 1/2 (3+5) * √2 = 4√2
there are four such trapezoids in fig = 4*4√2 = 16√2
the surface area of solid = 9 + 25 + 16√2 = 34 + 16√2
area of bottom square = 5*5 = 25
area of trapezoid = 1/2(sum of parallel sides) * distance between them
distance between parallel side can be calculated from triangle abc:
ab = 1 (depth of solid), bc = 1 (1/2(length of bottom square-length of top square)) by right angle triangle ac = √2
area of a trapezoid = 1/2 (3+5) * √2 = 4√2
there are four such trapezoids in fig = 4*4√2 = 16√2
the surface area of solid = 9 + 25 + 16√2 = 34 + 16√2
Attachments
#greprepclub The figure above shows a solid with thickness.jpg [ 12.41 KiB | Viewed 4406 times ]
General Discussion
Re: The figure above shows a solid with thickness of 1, a square
[#permalink]
15 May 2020, 11:53
15 May 2020, 11:53
Expert Reply
1
Bookmarks
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
