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
2 answers:
384 cubic units is the answer.
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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