Question

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ______ cubic centimeter.

Answer 1

105/8 cubic cm is your answer 

Answer 2

Answer: The volume of the prism is
`(105)/(512)` cubic centimetres.

Step-by-step explanation: Given that a rectangular prism has the following dimensions:

`length,~l=(3)/(8)~\textup{cm},\\\\width,~w=(5)/(8)~\textup{cm},\\\\height,~h=(7)/(8)~\textup{cm}.`

We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by

`V=w* h* l.`

Therefore, the volume of the given prism will be

`V\\\\=w* h* l\\\\=(3)/(8)* (5)/(8)* (7)/(8)\\\\=(105)/(512)~\textup{cm}^3.`

Thus, the volume of the prism is
`(105)/(512)` cubic centimetres.