Answer:
1)Diagram attached
2)8424
3)1404
4)1569
Step-by-step explanation:
1)
Diagram is attached
2)
How many square feet of the gravel will surround the lawn:
Converting yards into feet:
1 yard =3 feet
So 80 yard =80(3) feet
=240 feet
and 150 yard =150 (3) feet
=450 feet
Area of rectangle is given by :length X width
Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)
= 252 X 462
= 116424
Area of the lawn = 240 X 450
= 108000
Area of gravel border = 116424 - 108000
= 8424
Area of gravel border is 8424 ft^2
3)
Total volume when depth is 2 inches:
converting inches to feet:
1 inch= 0.083 feet
2 inches =0.1667 feet
volume = base area X depth
=8424 X 0.1667
= 1404
total volume of gravel needed for the border is 1404 ft^3
4)
Given:
A large bag of colored rock contains 5/8 of a cubic yard and costs $30
total cost of the rocks needed for the border=?
1 cubic yard = $30
converting cubic yard to cubic feet
1 cubic yard=27 cubic feet
cost of 1 cubic yard= cost of 27 cubic feet = $ 30
cost of 1 cubic feet=30/27
cost of 1404 cubic feet= 1404 X 30 / 27
= 1560
the total cost of the rocks needed for the border is $1560!
