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 volume of the rectangular solid above is 720. If AF = 15, which of
[#permalink]
05 Dec 2022, 02:55
05 Dec 2022, 02:55
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
72% (01:31) correct
27% (01:26) wrong based on 22 sessions
Hide Show timer Statistics
Attachment:
GRE The volume of the rectangular solid above is 720. .jpg [ 27.13 KiB | Viewed 1010 times ]
The volume of the rectangular solid above is 720. If AF = 15, which of the following is closest to the distance from C to F ?
6
8
12
15
18
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: The volume of the rectangular solid above is 720. If AF = 15, which of
[#permalink]
07 Dec 2022, 07:42
07 Dec 2022, 07:42
1
Expert Reply
Volume = l*w*h
\(720=6*15*X\)
\(X=8\)
Distance from A to E
\(8^2 + 15^2 = 17^2\)
Distance C to F
\(17^2 + 6^2 =\)
\(289 + 36 = 325\)
325 is approximately \(18^2\)
Answer: E
\(720=6*15*X\)
\(X=8\)
Distance from A to E
\(8^2 + 15^2 = 17^2\)
Distance C to F
\(17^2 + 6^2 =\)
\(289 + 36 = 325\)
325 is approximately \(18^2\)
Answer: E
Re: The volume of the rectangular solid above is 720. If AF = 15, which of
[#permalink]
09 Dec 2022, 04:00
09 Dec 2022, 04:00
Expert Reply
OE
The distance from C to F is the diagonal of the box, so use the Super Pythagorean theorem: a^2 + b^2 + c^2 = d^2, where a, b, and c are the sides of the box and d is the diagonal. You have the length and height of the box, so use the volume formula to find the width: 720 = (15)(6)w, so the width is 8. Now plug your numbers into the formula: 15^2 + 8^2 + 6^2 = d^2, so 325 = d^2, and d = 18.03.
The distance from C to F is the diagonal of the box, so use the Super Pythagorean theorem: a^2 + b^2 + c^2 = d^2, where a, b, and c are the sides of the box and d is the diagonal. You have the length and height of the box, so use the volume formula to find the width: 720 = (15)(6)w, so the width is 8. Now plug your numbers into the formula: 15^2 + 8^2 + 6^2 = d^2, so 325 = d^2, and d = 18.03.
