The shape is 16.7 cm 5 cm 8.9 cm and 15.9 cm A wooden door stopper needs to be covered with stickers to match the door for a directing contest. If one package of stickers covers a surface area of 75 square centimeters, how many packages of stickers need to be purchased? (Find the closest number to the surface area of the door stopper. Stickers may only be purchase in whole packs.)

(1 point)
• You will need 6 packages of stickers.
• You will need 5.5 packages of stickers.
• You will need 414.14 cm² packages of stickers.
• You will need 7 packages of stickers

1 answer

To find the surface area of the wooden door stopper, we need to calculate the total surface area of all sides.

Total surface area = 2(lw + lh + wh)
Total surface area = 2((16.7)(5) + (16.7)(8.9) + (5)(8.9))
Total surface area = 2(83.5 + 148.63 + 44.5)
Total surface area = 2(276.63)
Total surface area = 553.26 cm²

Now, we need to calculate how many packages of stickers are needed to cover the surface area of the door stopper.

Number of packages = Total surface area / Surface area covered by 1 package of stickers
Number of packages = 553.26 / 75
Number of packages ≈ 7.377

Since stickers can only be purchased in whole packs, you will need to purchase 7 packages of stickers to cover the door stopper. The closest number to the surface area is 525 cm². So, option C is the closest answer.