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Help pls!!!!!!


A family sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with dimensions 2x8x9 inches costs $4.50. What is the difference in price per cubic inch?

Respuesta :

Answer:

$0.01

Step-by-step explanation:

Family size rate (per cubic inch)

  • Volume of box = 3 x 9 x 12 = 324 in³
  • Cost = $6
  • Rate = 6/324 = 1/54 = $0.02 per cubic inch

Regular size rate

  • Volume of box = 2 x 8 x 9 = 144 in³
  • Cost = $4.50
  • Rate = 4.50/144 = 1/32 = $0.03 per cubic inch

Difference in price

  • $0.03 - $0.02
  • $0.01

Volume of family sized box

  • LBH
  • 3(9)(12)
  • 27(12)
  • 324in³

Price per inch

  • 6/324=0.02$/in

Volume of regular size

  • 2(8)(9)
  • 144in³

Price per in

  • 4.5/144=0.03$/in

Difference:-

|0.02-0.03|=0.01$