Question

Help me please and thank you

Answer 1

Based on the model, the length of the wall is
`(9)/(8)` ft, the width of the wall is
`(1)/(2)` ft, and the height of the wall is
`(11)/(8)` ft. The volume of the portion of security wall that Tim has constructed so far is
`(99)/(128)` cu ft.

Explanation:

Given:

The figure constructed shows a rectangular prism made up of small wooden cubes of length
`(1)/(8)\ ft`.

Width of the prism =
`(1)/(2)\ ft`.

To find length , height and volume of the figure.

Solution:

From the figure we can conclude that :

Length side of the prism counts 9 cubes.

Thus, length of the prism will be given as :

⇒
`\textrm{Length of each cube}* \textrm{Number of cubes}`

⇒
`(1)/(8)\ ft* 9`

⇒
`(9)/(8)\ ft` (Answer)

Height side of the prism counts 11 cubes.

Thus, height of the prism will be given as :

⇒
`\textrm{Length of each cube}* \textrm{Number of cubes}`

⇒
`(1)/(8)\ ft* 11`

⇒
`(11)/(8)\ ft` (Answer)

Volume of the prism can be given as :

⇒
`Length* width* height`

⇒
`(9)/(8)\ ft* (1)/(2)\ ft* (11)/(8)\ ft`

⇒
`(99)/(128)\ ft^3` (Answer)