SSC MTS Model Paper 3

Question : 39 of 150

Marks: +1, -0

A pyramid is based on an equilateral triangle of side 6 cm. If the height of pyramid is cm. Find the volume of pyramid.

Solution:

In the figure, equilateral triangle ABC is the base of the pyramid.
Where AB = BC = CA = 6 cm

∴

Volume of the pyramid

= { 1 }/ { 3 } ×

base area

\times

height

= { 1 } /{ 3 } × {√ { 3 } } /{ 4 } × 6 ×6 × 12 √ { 3 } = 108 { cm } ^ { 3 }

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