Question

There are two formulas that can be used to find the volume of a rectangular prism. Find the volume using both formulas.

Answer 1

Volume =
`(1)/(8)` cubic units.

Explanation:

The volume of a rectangular prism is given by,

`V = (\textrm {Length}) * (\textrm {Width}) * (\textrm {Height})` .......... (1) and

`V = (\textrm {Base Area})* (\textrm {Height})` .......... (2)

Now, the length of the given prism is
`(1)/(2)` units, width is
`(1)/(2)` units and the height is
`(1)/(2)` units.

So. from equation (1) the volume, V =
`((1)/(2)) * ((1)/(2)) * ((1)/(2)) = (1)/(8)` cubic units.

Now, base area = B =
`((1)/(2)) * ((1)/(2)) = (1)/(4)` sq. units.

So, from equation (2) we get

`V = ((1)/(4)) * ((1)/(2)) = (1)/(8)` cubic units. (Answer)