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)
A• You will need 6 packages of stickers.
B• You will need 5.5 packages of stickers.
C• You will need 414.14 cm² packages of stickers.
D• You will need 7 packages of stickers
First, calculate the surface area of the door stopper:
Surface area = 2lw + 2lh + 2wh
Surface area = 2(16.7cm * 5cm) + 2(16.7cm * 8.9cm) + 2(5cm * 8.9cm)
Surface area = 2(83.5cm²) + 2(148.63cm²) + 2(44.5cm²)
Surface area = 167cm² + 297.26cm² + 89cm²
Surface area = 553.26cm²
Now, divide the total surface area of the door stopper by the surface area covered by one package of stickers:
Number of packages = 553.26cm² / 75cm² ≈ 7.38
Since stickers can only be purchased in whole packs, you will need to round up to the nearest whole number. So, you will need 8 packages of stickers.
Therefore, the closest answer choice is:
D• You will need 7 packages of stickers.