the-length-l-width-w-and-height-h-of-a-rectangular-carton-are-l12-feet-w4-feet-and-h3-feet-the-lengt

Question

The length $l,$ width $w,$ and height $h,$ of a rectangular carton are $l=12$ feet, $w=4$ feet, and
$h=3$ feet. The length of a diagonal, $d$ , the distance from one corner of the box to the opposite corner, is given by the formula $d^{2}=l^{2}+w^{2}+h^{2} .$ What is the length of the diagonal of the carton?

James Kiss · Accepted Answer

we were asked to find the length of a diagonal or carton. Given the formula D squared. The diagonal is equal to the length of the carton squared, plus the width of the Karni squared, plus the height of the Garden Square were also given the length, width and height of the carton, so it&#x27;s substitute those The length was given to be 12. The width was given to be four, and the height was given to be three. Um, so if we evaluate those parts, 12 squared is 144 or square to 16 3 squared is nine. Oops, that&#x27;s supposed to d squared to the diagonal squared would be equal to that. Some Adam up together D squared is equal to 169. No, he can square root both sides and we got d equals a positive or negative 13. We&#x27;re talking about a carton. That diagonal cannot be negative, so the diagonals length would be 13 and this was all in heat

Amy Jiang · Answer

Okay, so we look to settle for Dean. Given that L is equal to four, the view is equal to tune on. H is equal to three. So it&#x27;s plug right into our equation here. So that&#x27;s four Squared, which is 16 and plus two squared, which is for and in three squared, which is nine. So that&#x27;s the square root of this entire thing. 2 16 plus four plus nine that&#x27;s equal to the square root of 29.

Jeyasree R T · Answer

the length of the diagonal for box is given by equal to the square place W square place such as quite the full bore on my do where your missile and the use of it on matches the height. So we need to find the Bagnall, eat off the box in the given figure. So from the even bigger we see that the value of Yeah, it is 12. Yes, this 12 Onda good w is move and hedge iss three Now let us substitute the values over. Yell that you are hatching given when will our d d Well too once well, place was where less the Squire about one way to that is What were you? Yes, 60 s nine About one great. Just remind to you 1 16 91 69 over weight began by 1 69 s 13 in squared for one baking and using the bar off rules it is doing You want a toe just standing there being inches Since the diagonal d off the books shown this 13 inches. Now you need to find the final You really will do w went to work Some students nearly equal to the beauty will do. And she will do one in this given formula. So we get He went to one squad. Bliss one square less. One square. One way to it. ISS one. Yes. One place one over. One way to just 312 The annual keep over 12 iss. We are approximately 1.70 inches.

Linh Vu · Answer

dangler box with the dimension June Times three times for fit here and in making to make it easy And we put this one into, uh ah, our orientation off in a to D space now So I would take this one will be in the two That Sorry everybody will be there to hear isn&#x27;t maybe that three. So I would draw on the box, you know, And it really made up for you. So then if this will be the three different me that two on differently for that&#x27;s a dimension here they found upon here we have the guard in a uh huh Ju three and four may borders will be in the X. Ah, no isn&#x27;t being, uh, X, y and Z and then and not that, I don&#x27;t know, really weighed upon here coming through the origin here. So respond the distance between the origins of zero and upon 234 and then we find it systems. This will be a constant pain is new with that sort of the O. P. When you go to No, that sorry isn&#x27;t gonna be that. Oh, yeah. This We will be here. Single 234 and its land. O P. You really go to the norm. Land on prion Coach in the square root off two squared plus three squared plus four squared. Then we get Nico to the Scrabble in the far plus no, because sixth in Don&#x27;t get equal to the square root of 29. So that&#x27;s where we don&#x27;t land on the diver No.

Matt Gibson · Answer

the question is asking us to solve for W. So I need to subtract the two LH Excuse me. A minus two LH on the right side. I would then be left with two terms that both have a W. So I&#x27;ll factor out because that&#x27;s what I&#x27;m trying to sound for a factor at the W which would leave me with two h plus for l. It&#x27;s not the greatest common factor, but I&#x27;m trying to isolate the W so I&#x27;ll leave the common factor of two in there. Ah, next will divide everything by two h plus for l. So that would give me eso This would be w These would cancel. All right it this way. So put the w first. Ah a minus two l h over to H minus for l.

Supratim Roy · Answer

Hello, everyone In this problem, we have a rectangle whose weight is 12 feet and the idea is 312 feet square. We have to find, uh, length off this rectangle. Okay, so the formula for the area of a rectangle is area equals length multiplied by wit. Okay, so if you put all the values, the area would be 312 and the length is a non service L. And with this. Well, okay, So if I flipped the question that would be into 12 equals 300. Well, so l that this length would be cool to 312 divided by 12 feet. And that would be to and then seven, That is Ah, 26 feet. 2012 by 12 is 26. 50. Okay, so this is our result required length. Okay. There&#x27;s some, uh, thank you.

Problem 51 Hard Difficulty

Answer

The diagonal is 13 feet.

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The diagonal is 13 feet.

Algebra 2 and Trigonometry

Ann Xavier GantertAlgebra 2 and Trigonometry

Ann Xavier Gantert

Algebra 2 and Trigonometry