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24 Apr 2023, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:14) correct
19%
(02:13)
wrong
based on 81
sessions
History
Date
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Not Attempted Yet
The base of a rectangular box has dimensions of 15 by 6 cm^2. What is the height of the box, if the sum of the areas of the base and top is equal to the sum of the areas of the four sides ?
A. 15/7 cm
B. 4 cm
C. 30/7 cm
D. 5 cm
E. 40/7 cm
A. 15/7 cm
B. 4 cm
C. 30/7 cm
D. 5 cm
E. 40/7 cm
24 Apr 2023, 06:22
Kudos
Bookmarks
Area of base + Area of Top = 15 * 6 * 2 = 180 cm\(^2\) --- (1)
Assume the height as "h".
Sum of the area of 4 sides = (6 * h)*2 + (15 * h)*2 = 42h --- (2)
Now we equate (1) and (2) -> 42h = 180 cm\(^2\) --> we get h = 30/7 cm.
Assume the height as "h".
Sum of the area of 4 sides = (6 * h)*2 + (15 * h)*2 = 42h --- (2)
Now we equate (1) and (2) -> 42h = 180 cm\(^2\) --> we get h = 30/7 cm.
24 Apr 2023, 10:19
Kudos
Bookmarks
Bunuel
My instinct is to set up an algebraic equation or two AND the answer choices are just numbers. When both of those things are true, the odds are very good that I can get to the right answer at least as quickly and with very little risk of a silly mistake using Plugging In The Answers (PITA). I like trying B and D.
B:
Base + top = 2(15*6) = 2(90) = 180
Four sides = 2(15*4)+2(6*4) = 2(60)+2(24) = 120+48 = 168
Base + top > four sides
D:
Base + top = 2(15*6) = 2(90) = 180
Four sides = 2(15*5)+2(6*5) = 2(75)+2(30) = 150+60 = 210
Base + top < four sides
We need something in between. Only once answer choice is in between.
Answer choice C.
ThatDudeKnowsPluggingInTheAnswers
ThatDudeKnowsPITA
