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) $740

b) $1,310

c) $8,575

d) $25,750

Question

Mathematics

Walker

28 May, 06:43

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) $740

b) $1,310

c) $8,575

d) $25,750

+2

Answers (1)

Know the Answer?

Jaxon · Answer 1

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