Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 feet. If he plans for the sidewalk to be 9 inches deep, what volume of cement is needed for the sidewalk?
9 inches 1 foot / 12 inches
= 3/4 feet deep
Area of the sidewalk:
= the sides of the pool the width of the sidewalk + the corners of the sidewalk (width width)
= 2 sides 6 (feet / side) 2 feet + 2 sides 14 (feet / side) 2 feet + 4 corners (2 feet 2 feet / corner)
= 12 feet 2 feet + 28 feet 2 feet + 4 2 feet 2 feet
= 24 feet^2 + 56 feet^2 + 16 feet^2
= 96 feet^2
Volume:
= 96 feet^2 3/4 feet
= (96 3 / 4) feet^3
= (19 3) feet^3
= 57 feet^3