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. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

Answer 1

384 cubic units

Explanation:

Answer 2

384 cubic units

Explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is

V = (24)(16)

= 384 cubic units