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dexar [7]
2 years ago
7

A cereal box is 7.4 in. wide, 9.6 in. high, and 2.5 in. deep. How many square inches of cardboard are needed to make this box?​

Mathematics
2 answers:
dezoksy [38]2 years ago
8 0

Answer:

Two sides are 7.4 x 9.6

Two sides are 9.6 x 2.5 - Take these answers and multiply by 2 for all of them Two sides are 2.5 x 7.4    Shown Below-

2(7.4 x 9.6) = 142.08

2(9.6 x 2.5) = 48

2(2.5 x 7.4) = 37

142.08 + 48 + 37 = 227.08 square inches <------------------------- Final answer

Hope this helps

-Adrian Velez

Step-by-step explanation:

Mnenie [13.5K]2 years ago
5 0

Answer:

227.08\ in^{2} of cardboard  are needed

Step-by-step explanation:

we know that

The surface area of the rectangular prism ( cereal box) is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the cereal box

<em>Find the area of the base B</em>

B=(7.4)(2.5)=18.5\ in^{2}

we have

H=9.6\ in

<em>Find the perimeter of the base P</em>

P=2(7.4+2.5)=19.8\ in

substitute the values

SA=2(18.5)+(19.8)(9.6)=227.08\ in^{2}

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<span>1. The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

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