Question

A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 8in by 2 3/4 by 2 3/4.If the bricks cost $0.06 per cubic inch, find the cost of 850 bricks. Round your answer to the nearest cent.

Answer 1

Given the building that can be modeled as a

right rectangular prism with dimentions

8 * 2 3/4 * 2 3/4

Volume is given by

`V=8*2(3)/(4)*2(3)/(4)`
`V=8*2(3)/(4)*2(3)/(4)`
`V=60.5in^3`

since we have 850 bricks

the volume occupied by 850 bricks is therefore

`Vbricks=60.5*850`
`Vbricks=60.5*850`
`Vbricks=51425`

then

the cost of the 850 bricks is

`Cbricks=51425*0.06`
`Cbricks=3085.5`

cost of bricks is $3085.50