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Question

Find the volume (in cm3) of this right triangular prism.
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A
60
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B
90
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C
120
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D
150
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Solution

The correct option is A 60
In the given prism, bases are right-angled triangle.
Let ac be sides and b be hypotenuse of the triangle.
a=5,c=8
By Pythagoras theorem,
b2=a2+c2
=25+64
b=89
Volume of triangular prism =34a4+2(ab)2+2(ac)2b4+2(bc)2c4
=34(a4+b4+c4)+2((ab)2+(ac)2+(bc)2)
=3412642+19042
=34×80=60
Hence, Volume of triangular prism is 60 cm3.

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