Question

Find the volume of the prism below if each cube has a side length of 1/8 of a foot

Answer 1

`Volume = (3)/(128)ft^3`

Explanation:

Given

`Length = 1\ cube`

`Width = 3\ cubes`

`Height = 4\ cubes`

`1\ cube = (1)/(8)ft`

Required

The volume of the cube

Start by calculating the dimension in ft

`Length = 1\ cube`

`Length = 1 * (1)/(8)ft`

`Length = (1)/(8)ft`

`Width = 3\ cubes`

`Width = 3 * (1)/(8)ft`

`Width = (3)/(8)ft`

`Height = 4\ cubes`

`Height = 4 * (1)/(8)ft`

`Height = (1)/(2)ft`

So, the volume is:

`Volume = Length * Width * Height`

`Volume = (1)/(8)ft * (3)/(8)ft * (1)/(2)ft`

`Volume = (1)/(8) * (3)/(8) * (1)/(2)ft^3`

Using a calculator, we have:

`Volume = (3)/(128)ft^3`