# CAT 2019 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 18

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Question 18 : The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20 cm. The vertical height of the pyramid, in cm, is

1. 10$$sqrt{2}$ 2. 8$\sqrt{3}$ 3. 12 4. 5$\sqrt{5}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer It is given that the diagram is a square pyramid and all 4 sides of the triangle are of equal sides. Now, we need to plug in a right triangle and apply Pythagoras theorem to find the vertical height of the triangle. Draw a vertical from the apex of the pyramid and draw a line to the base along the equilateral triangle. Connect the points in the base to form a right triangle. The hypotenuse would be the slant height of the pyramid, which is the altitude of the equilateral triangle. Length of the base = 10 cms Hypotenuse = Altitude of the equilateral triangle = x 20 = 10cms Therefore,$Vertical height)2 = (10)2 - 102 = 200
Vertical height = = 10cms

The question is "The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20 cm. The vertical height of the pyramid, in cm, is"

##### Hence, the answer is 10$$sqrt{2}$ Choice A is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### 🎉 Fabulous 3,000 off on 2IIM's Test Dojo. Valid until 18th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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