determine the volume of the three dimensional figure. 17 sional 7 in 4 in 16 in...

Question

Question

determine the volume of the three dimensional figure.
17 sional 7 in 4 in 16 in 6 in. 7 in. 4 in 16 in.

math geometry

Answer 1

Answer #1

The given 3d figure is an trapezoidal prism.

So the volume of the trapezoidal prism can be written as: Area of trapezium×height of the prism.

Now area of trapezium is h(a+b)/2

[Where h= height of the trapezium; a,b are the bases of the trapezium.]

If H is the height of prism

Then volume of prism will be V=hH(a+b)/2

Here h=4 in. , H=6 in. , a= 7 in. , b=16 in. are given.

So the volume is V= 4×6×(7+16)/2 in.³

=276 in.³

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Answer 2

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