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A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7 in by (2)3/4 in by (2)1/4 in. If the brick cost $0.05 per cubic inch, find the cost of 750 bricks

1 Answer

5 votes

Answer:1624.22

Explanation:

Width

=

Width=

2

3

4

in

=

2.75

in

2

4

3

in=2.75 in

Convert fraction to decimal

Height

=

Height=

2

1

4

in

=

2.25

in

2

4

1

in=2.25 in

Convert fraction to decimal

Volume

=

Volume=

lwh

Volume of rectangular prism

=

=

7

2.75

2.25

7⋅2.75⋅2.25

Substitute

=

=

43.3125

in

3

43.3125 in

3

Cost per brick

=

Cost per brick=

43.3125

in

3

1

$

0.05

1

in

3

1

43.3125in

3

1in

3

$0.05

=

=

43.3125

in

3

1

$

0.05

1

in

3

1

43.3125

in

3

1

in

3

$

0.05

=

=

$

(

43.3125

0.05

)

$(43.3125⋅0.05)

=

=

$

2.165625

$2.165625

Careful not to round too soon

Total cost

=

Total cost=

750

$

2.165625

750⋅$2.165625

=

=

$

1624.21875

$1624.21875

$

1624.22

$1624.22

Round to the nearest cent

User Sabita
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