The cost of 800 bricks having dimensions of
at a cost of $0.07 per in.³ is <u>$3,797.5</u>
<h3>How can the cost of 800 bricks to be used for the building be found?</h3>
The dimensions of the brick are;
![\mathbf{7\frac{3}{4} \ by\ 3\frac{1}{2} \ by \ 2\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cmathbf%7B7%5Cfrac%7B3%7D%7B4%7D%20%5C%20by%5C%20%203%5Cfrac%7B1%7D%7B2%7D%20%5C%20by%20%5C%202%5Cfrac%7B1%7D%7B2%7D%7D)
Cost of a cubic inch of brick = $0.07
The volume of 1 brick is therefore;
![Volume \ of \ 1 \ brick \ V_1= 7\frac{3}{4} \ \times \ 3\frac{1}{2} \ \times \ 2\frac{1}{2} = \mathbf{67\frac{13}{16}}](https://tex.z-dn.net/?f=Volume%20%5C%20of%20%20%5C%201%20%5C%20brick%20%5C%20V_1%3D%207%5Cfrac%7B3%7D%7B4%7D%20%5C%20%5Ctimes%20%5C%20%203%5Cfrac%7B1%7D%7B2%7D%20%5C%20%5Ctimes%20%20%5C%202%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cmathbf%7B67%5Cfrac%7B13%7D%7B16%7D%7D)
The volume occupied by 800 bricks is therefore;
![Volume \ of \ 800 \ bricks \ V_{800} = 67\frac{13}{16} \times 800 =\mathbf{ 54250}](https://tex.z-dn.net/?f=Volume%20%5C%20of%20%20%5C%20800%20%5C%20bricks%20%5C%20V_%7B800%7D%20%3D%2067%5Cfrac%7B13%7D%7B16%7D%20%5Ctimes%20800%20%3D%5Cmathbf%7B%2054250%7D)
Given that the dimensions of the bricks are in inches, the volume of 800 bricks is therefore;
V₈₀₀ = 54,250 in.³
The cost of 800 bricks is therefore;
Total cost = 54,250 in.³ × $0.07 = $3,797.5
The cost of 800 bricks is <u>$3,797.5</u>
Learn more about finding the volume of a rectangular prism here:
brainly.com/question/3789826