The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is m units; what is the volume of the prism?

Respuesta :

Answer:

[tex]30m^3[/tex] cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be [tex]6m[/tex].

We are also told that the height is five times its length, so height of the prism would be [tex]5m[/tex].

We know that volume of rectangular prism is height times width times length.

[tex]\text{Volume of rectangular prism}=lwh[/tex]

[tex]\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m[/tex]

[tex]\text{Volume of rectangular prism}=30m^3[/tex]

Therefore, the volume of the given rectangular prism would be [tex]30m^3[/tex] cubic units.