Answer:
Based on the model, the length of the wall is [tex]\frac{9}{8}[/tex] ft, the width of the wall is [tex]\frac{1}{2}[/tex] ft, and the height of the wall is [tex]\frac{11}{8}[/tex] ft. The volume of the portion of security wall that Tim has constructed so far is [tex]\frac{99}{128}[/tex] cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length [tex]\frac{1}{8}\ ft[/tex].
Width of the prism = [tex]\frac{1}{2}\ ft[/tex].
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 :
⇒ [tex]\textrm{Length of each cube}\times \textrm{Number of cubes}[/tex]
⇒ [tex]\frac{1}{8}\ ft\times 9[/tex]
⇒ [tex]\frac{9}{8}\ ft[/tex] (Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒ [tex]\textrm{Length of each cube}\times \textrm{Number of cubes}[/tex]
⇒ [tex]\frac{1}{8}\ ft\times 11[/tex]
⇒ [tex]\frac{11}{8}\ ft[/tex] (Answer)
Volume of the prism can be given as :
⇒ [tex]Length\times width\times height[/tex]
⇒ [tex]\frac{9}{8}\ ft\times \frac{1}{2}\ ft\times \frac{11}{8}\ ft [/tex]
⇒ [tex]\frac{99}{128}\ ft^3[/tex] (Answer)
