Question

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?

Answer 1

Answer:

384 Cubic Units

Answer 2

To determine the volume of the rhombus, we use the equation,
                           V = Bh
where B is the area of the base and h is the height. 
For rhombus, the area is calculated through the equation,
                         B = D₁D₂/2
Substituting,
                          B = (6)(8) / 2 = 24 units squared

Volume calculation:
                             V = (24)(16) = 384 units cubed