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

Question

3 years ago

14

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:

umka21 [38] · Answer 1 · 2022-03-22T16:40:01+03:00

5 0

384 cubic units is the answer.

IRISSAK [1] · Answer 2 · 2022-03-22T18:18:59+03:00

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