Question

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Answer 1

Answer:

Based on the model, the length of the wall is $\frac{9}{8}$ ft, the width of the wall is $\frac{1}{2}$ ft,  and the height of the wall is $\frac{11}{8}$ ft. The volume of the portion of security wall that  Tim has constructed so far is $\frac{99}{128}$  cu ft.

Step-by-step explanation:

Given:

The figure constructed shows a rectangular prism made up of small wooden cubes of length $\frac{1}{8}\ ft$.

Width of the prism = $\frac{1}{2}\ ft$.

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 :

⇒ $\textrm{Length of each cube}\times \textrm{Number of cubes}$

⇒ $\frac{1}{8}\ ft\times 9$

⇒ $\frac{9}{8}\ ft$  (Answer)

Height side of the prism counts 11 cubes.

Thus, height of the prism will be given as :

⇒ $\textrm{Length of each cube}\times \textrm{Number of cubes}$

⇒ $\frac{1}{8}\ ft\times 11$

⇒ $\frac{11}{8}\ ft$ (Answer)

Volume of the prism can be given as :

⇒ $Length\times width\times height$

⇒ $\frac{9}{8}\ ft\times \frac{1}{2}\ ft\times \frac{11}{8}\ ft$

⇒ $\frac{99}{128}\ ft^3$ (Answer)