Find the volume

Geometry Level 3

Find the volume of the 3 D 3-D object shown above.


The answer is 368.

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1 solution

Refer to the drawing on the right.

V o l u m e 1 = 1 2 ( 3 + 7 ) ( 4 ) ( 3 ) = 1 2 ( 10 ) ( 12 ) = 60 Volume~1=\dfrac{1}{2}(3+7)(4)(3)=\dfrac{1}{2}(10)(12)=60

V o l u m e 2 = 11 ( 11 ) ( 2 ) = 242 Volume~2=11(11)(2)=242

V o l u m e 3 = 2 ( 3 ) ( 11 ) = 66 Volume~3=2(3)(11)=66

T o t a l V o l u m e = 60 + 242 + 66 = Total~Volume=60+242+66= 368 \boxed{368}

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