Door stooper needs to be covered with stickers to match the door for a contest. One package of stickers is enough to cover 75 square cm of surface are. How many is needed to be purchased for a stopper that is 15.9 by 16.7 by 5 by 8.9

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

To find the total surface area of the door stopper, we need to calculate the surface area of each individual face and then add them all together.

Surface area of the top and bottom faces:
15.9 cm x 16.7 cm = 266.13 cm²
15.9 cm x 16.7 cm = 266.13 cm²

Surface area of the two side faces:
15.9 cm x 5 cm = 79.5 cm²
16.7 cm x 5 cm = 83.5 cm²
15.9 cm x 8.9 cm = 141.51 cm²
16.7 cm x 8.9 cm = 148.63 cm²

Total surface area = 266.13 cm² + 266.13 cm² + 79.5 cm² + 83.5 cm² + 141.51 cm² + 148.63 cm² = 985.4 cm²

Now, we need to calculate how many packages of stickers are needed to cover 985.4 cm² of surface area.

Package of stickers covers 75 cm²
Number of packages needed = 985.4 cm² / 75 cm² = 13.139

Since we can't purchase a fraction of a package, we will need to purchase 14 packages of stickers to completely cover the door stopper with stickers.

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