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What’s the volume of the prism? length 9 width 18 height 4

A. 324 units3
B. 112 units³
C. 648 units³
D. 226 units³

What’s the volume of the prism? length 9 width 18 height 4 A. 324 units3 B. 112 units-example-1
User Kiwi Lin
by
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1 Answer

4 votes

Answer:

A. 324 units³

Explanation:

You want the volume of a triangular prism with triangle base 9 units, triangle height 4 units, and prism length 18 units.

Volume

The volume of the triangular prism is the product of its base area and its length:

V = Bl

The base area is the area of a triangle.

B = 1/2bh

Then the volume of the prism is ...

V = (1/2bh)l = 1/2(bhl) = 1/2(9)(4)(18) = 324 . . . . cubic units

The volume of the triangular prism is 324 units³.

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Additional comment

You will note that this is half the volume of a rectangular prism with the same overall dimensions.

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What’s the volume of the prism? length 9 width 18 height 4 A. 324 units3 B. 112 units-example-1
User Duran Hsieh
by
8.6k points