The base of a triangular pyramid is an isosceles triangle of sides length are 5 cm, 5 cm and 6 cm. If the height of pyramid is 10 cm then find the volume of the pyramid. 

  1. 44 cm3
  2. 40 cm3
  3. 24 cm3
  4. 58 cm3

Answer (Detailed Solution Below)

Option 2 : 40 cm3
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

The base of a triangular pyramid is an isosceles triangle of sides length are 5 cm, 5 cm and 6 cm

The height of pyramid is 10 cm

Calculation:

Let equal sides be a and unequal side be b

So, the area of isosceles triangle is  

So, the area of isosceles triangle is 

⇒ 12 cm2

So, the volume of pyramid = 1/3 × 12 × 10

∴ 40 cm3

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