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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?

The diagonal is 13 feet.

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Chapter 3

REAL NUMBERS AND RADICALS

Section 2

Roots and Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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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'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'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're talking about a carton. That diagonal cannot be negative, so the diagonals length would be 13 and this was all in heat

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