Question

एक समचतुष्फलक का आयतन ज्ञात करो जिसकी ऊंचाई 2 √ 3 सेंटीमीटर है

Answer 1

Given : एक समचतुष्फलक जिसकी ऊंचाई 2 √ 3 सेंटीमीटर है

Regular Tetrahedron Height

To Find : आयतन ज्ञात करो

Volume

Solution:

ऊंचाई  height = h = 2 √ 3 सेंटीमीटर

भुजा  side =  a

h = √2 .a / √3

2 √ 3  = √2 .a / √3

=> a = 3√2 सेंटीमीटर

V = Volume = आयतन

आयतन = a³/6√2

=  (3√2)³ / 6√2

= 27 * 2√2 / 6√2

= 27/3

= 9  सेंटीमीटर³  

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