Question

A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7\frac{3}{4}7

Answer 1

The cost of 800 bricks having dimensions of $7\frac{3}{4} \ by\ 3\frac{1}{2} \ by \ 2\frac{1}{2}$ at a cost of $0.07 per in.³ is $3,797.5

How can the cost of 800 bricks to be used for the building be found?

The dimensions of the brick are;

$\mathbf{7\frac{3}{4} \ by\ 3\frac{1}{2} \ by \ 2\frac{1}{2}}$

Cost of a cubic inch of brick = $0.07

The volume of 1 brick is therefore;

$Volume \ of \ 1 \ brick \ V_1= 7\frac{3}{4} \ \times \ 3\frac{1}{2} \ \times \ 2\frac{1}{2} = \mathbf{67\frac{13}{16}}$

The volume occupied by 800 bricks is therefore;

$Volume \ of \ 800 \ bricks \ V_{800} = 67\frac{13}{16} \times 800 =\mathbf{ 54250}$

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 $3,797.5

Learn more about finding the volume of a rectangular prism here:

brainly.com/question/3789826