MATH SOLVE

2 months ago

Q:
# childcare center has three playground areas: one square 32 feet on each side, one circular with a 30 feet diameter and one rectangular 30 feet wide and 45 feet long. To decrease injuries from falls, they want to spread recycled rubberized mulch to a depth of 6 inches. The mulch is $12.50 per cubic yard plus $25.00 delivery charge.a)$740b)$1,310c)$8,575d)$25,750

Accepted Solution

A:

Volume= length*width*height = Area * height

square region: A= 32^2= 1024

circle region: A= pi*radius^2= pi*(diameter/2)^2= 15^2 pi= 225pi

rectangle region: A= 30*45= 1350

Volume= (1024+ 1350 +225pi) *6 = 14,244 +1350pi

The units are ft^3

1 yard = 3 feet

yard^3= 27 ft^3

ft^3= 1/(27y^3)

Cost = price / unit *Volume +surcharge

Cost= 12.50/y^3 *(14,244 +1350pi)ft^3 +25

= 12.50/27 *(14,244 +1350pi) +25

~ $8583

square region: A= 32^2= 1024

circle region: A= pi*radius^2= pi*(diameter/2)^2= 15^2 pi= 225pi

rectangle region: A= 30*45= 1350

Volume= (1024+ 1350 +225pi) *6 = 14,244 +1350pi

The units are ft^3

1 yard = 3 feet

yard^3= 27 ft^3

ft^3= 1/(27y^3)

Cost = price / unit *Volume +surcharge

Cost= 12.50/y^3 *(14,244 +1350pi)ft^3 +25

= 12.50/27 *(14,244 +1350pi) +25

~ $8583