The base of a regular pyramid is a square | Quantitative Aptitude – CAT Geometry
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The question below is from previous year CAT question from CAT 2019 exam comes from sub-section Geometry: The base of a regular pyramid is a square. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2019 – Slot -2-Quantitative Aptitude- Question 3 - The base of a regular pyramid is a square
Q. 3: 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. 8√3
2. 10√2
3. 12
4. 5√5
As we know that the square pyramid of edge length a has height
h=1/2 sqrt(2)* a,
So, h = ½ * root 2* 20 = 10 root 2
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