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

The volume of the prism is cubic
`(105)/(512)` centimeters.

Explanation:

Given that a rectangular prism has the following dimensions:

`length, l=(3)/(8)cm \\\\width, w=(5)/(8)cm \\\\height, h=(7)/(8)`

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)cm^(3).`

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