find the volume of cuboid with breadth as half of it's length and height as √3/2 times it's breadth where length x meters
Answers
Answer:
Given
height,h= x m
length,l=root3/2of x =1.73x/2=0.86x m [root3=1.73]
breadth,b=root3/2of x =1.73x/2=0.86x m
We know that
volume of the cuboid=l×b×h
=(0.86x×0.86x×x) m³
=0.74x³ m³
volume of cuboid is √3x³/8
we have to find the volume of cuboid with breadth as half of its length and height as √3/2 times its breadth.
length of cuboid = x metres
breadth of cuboid = x/2 metres
height of cuboid = √3/2 × x/2 = √3x/4 metres
now volume of cuboid = length × breadth × height
= x × x/2 × √3x/4
= √3x³/8
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