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)

7 0

3 years ago

In a study of 225 adults, the mean heart rate was 72 beats per minute. Assume the population of heart rates is known to be appro

Aleonysh [2.5K]

The lower and upper bounds of the confidence intervals must be equally distanced from the mean
so it will be
70.9 - 73.1
hope it helps

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3 years ago

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Sarah and Eva are swimming use the ratio table to determine who is the faster swimmer

pentagon [3]

Sarahtime (min)    {3 } 5 12 17
distance (meters) {75} 125   300 425

Eva time (min)     {2}    7 10    20
distance (meters)    {52} 182   260 520

Sarah:meters over min =75 over 3 = 25 over 1
25 meters per min

Eva :meters over min= 52 over 2 =26 over 1
26 meters per min

eva is the faster swimming because 26 meters per min is faster then 25 meters per min .

i hope this help

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3 years ago

MULTIPLY POLYNOMIALS (8p-2)(6p+2)

____ [38]

$(8p-2)(6p+2)=8p\cdot 6p+8p\cdot 2-2\cdot 6p -2\cdot 2=\\ \\ =48p^2+16p-12p-4=48p^2+4p-4$

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3 years ago

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