All Bockmansounn 791 |tockstCalesdar7−3: Losson ChockApe 17−900 amLate7.3.PS−13Question HelpChallenge A box is 11 in. high, 24 in. long, and 12 in. wide. What is the longest poster you could fit in the box? Use pencil and paper. Explain why you can only fit one maximum-length poster in the box but you can fit multiple 26 -in. posters in the same box.You can fit a □ -in. poster in the box.(Round to one decimal place as needed.)Enter your answer in the answer box and then click Check Answer.All parts showingClear AllClueck AnswerRoviow ProgressQuestion5or 8BackNoxt
Q. All Bockmansounn 791 |tockstCalesdar7−3: Losson ChockApe 17−900 amLate7.3.PS−13Question HelpChallenge A box is 11 in. high, 24 in. long, and 12 in. wide. What is the longest poster you could fit in the box? Use pencil and paper. Explain why you can only fit one maximum-length poster in the box but you can fit multiple 26 -in. posters in the same box.You can fit a □ -in. poster in the box.(Round to one decimal place as needed.)Enter your answer in the answer box and then click Check Answer.All parts showingClear AllClueck AnswerRoviow ProgressQuestion5or 8BackNoxt
Calculate Box Diagonal: To find the longest poster that can fit in the box, we need to calculate the box's diagonal using the Pythagorean theorem for three dimensions. The formula is: diagonal=length2+width2+height2.
Square Dimensions: First, we square each dimension of the box: 112=121, 242=576, and 122=144.
Add Squared Numbers: Next, we add these squared numbers together: 121+576+144=841.
Find Square Root: Now, we take the square root of 841 to find the diagonal: 841=29.
Identify Longest Poster: The longest poster that can fit in the box is 29 inches. However, we can only fit one maximum-length poster because it would have to be rolled diagonally from one corner to the opposite corner, taking up the entire space.
Fit Multiple Posters: Multiple 26-inch posters can fit because they are shorter than the maximum length, so they can be placed flat or rolled without reaching from corner to corner.
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