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A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units.What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

Respuesta :

384 cubic units is the answer.
ezequielburela

Answer:

The answer is 384 cubic units

Step-by-step explanation:

The volume can be calculated multiplying the area of the rhombus by the height of the prism:

V = Ar*H*p

Then the area of the rhombus can be obtained as:

Ar = D*d/2

Here D and d are the rhombus's diagonal. Replacing the values for the diagonals:

Ar = 8*6/2 = 24

Where the area is expressed in square units. Evaluating the area and the height in volume's formula:

V = 24 * 16 = 384  

The volume calculated in cubic units

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