Question

Find the volume of the rectangular prism 2/3 mm2/3 mm 1 3/4 mm

Answer 1

Given:

The length of the prism is l = 1 3/4 mm.

The width of the prism is w = 2/3 mm.

The height of the prism is h = 2/3 mm.

The objective is to find the volume of the prism.

Step-by-step explanation:

The general formula to find the volume of a rectangular prism is,

`v=l* w* h\text{ . . . . .(1)}`

On plugging the given values in equation (1),

`v=1(3)/(4)*(2)/(3)*(2)/(3)`

On further solving the above equation,

`\begin{gathered} v=(7)/(4)*(2)/(3)*(2)/(3) \\ =(28)/(36) \\ =(7)/(9)mm^3 \end{gathered}`

Hence, the volume of the rectangular prism is 7/9 cubic millimeters.