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? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

Explanation:

Step1: Calculate base - area of rhombus

The area formula for a rhombus is $A=\frac{1}{2}d_1d_2$, where $d_1 = 6$ and $d_2=8$. So $A=\frac{1}{2}\times6\times8= 24$ square units.

Step2: Calculate volume of prism

The volume formula for a prism is $V = Ah$, where $A$ is the base - area and $h$ is the height of the prism. Here, $A = 24$ and $h = 16$. So $V=24\times16 = 384$ cubic units.

Answer:

384 cubic units