Question

Hink About the Process A right rectangular prism has length

​, width
​, and height
. You use cubes with fractional edge length
to find the volume. How many cubes are there for each of the​ length, width, and height of the​ prism? Find the volume.
How many cubes are there for each of the​ length, width, and height of the​ prism?
The length has
nothing ​cubes, the width has
nothing ​cubes, and the height has
nothing cubes.

Answer 1

The length has 3 cubes

The width has 7 cubes

The height has 5 cubes

Explanation:

Given

`Length = 1(1)/(2)yd`

`Width = 3(1)/(2)yd`

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

`l = (1)/(2)yd` --- edge length

Required

Determine the number of cubes in each dimension

To do this, we divide the dimension by the edge length

For the length, we have:

`n_(Length) = (Length)/(l)`

`n_(Length) = (1(1)/(2))/((1)/(2))`

Express as:

`n_(Length) = 1(1)/(2) / (1)/(2)`

Change to product

`n_(Length) = 1(1)/(2) * (2)/(1)`

`n_(Length) = 1(1)/(2) * 2`

`n_(Length) = 3`

3 cubes in the length

For the width, we have:

`n_(Width) = (Width)/(l)`

`n_(Width) = (3(1)/(2))/((1)/(2))`

Express as:

`n_(Width) = 3(1)/(2) / (1)/(2)`

Change to product

`n_(Width) = 3(1)/(2) * (2)/(1)`

`n_(Width) = 3(1)/(2) * 2`

`n_(Width) = 7`

7 cubes in the width

For the height, we have:

`n_(Height) = (Height)/(l)`

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

Express as:

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

Change to product

`n_(Height) = 2(1)/(2) * (2)/(1)`

`n_(Height) = 2(1)/(2) * 2`

`n_(Height) = 5`

7 cubes in the height