Published by:
CGP EDU Academic Team
Published on: August 14, 2026
In a regular triangular prism the distance from the centre of one base to one of the vertices of the other base is λ . The altitude of the prism for which the volume is greatest, is :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
λ 2 = h 2 + x 2
Area of base (triangle) is 
3x = 
a
Volume V = 
ha 2
= h 
.4 . 3.x 2
=3 
h ( λ 2 – h 2 )
= 3 
( λ 2 – 3h 2 )
V is maximum when h = 
.
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