Question

mariam wraps a gift box in the shape of a right rectangular prism. the figure below shows a net for the gift box. how much wrapping paper did she use, in square inches? answer

Explanation:

Step1: Identify surface - area formula

The surface - area of a rectangular prism $S = 2(ab+bc + ac)$, where $a$, $b$, and $c$ are the side - lengths of the prism. From the net, the dimensions of the rectangular prism are $a = 14$ in, $b = 15$ in, and $c = 9$ in.

Step2: Calculate $ab$

$ab=14\times15 = 210$

Step3: Calculate $bc$

$bc = 15\times9=135$

Step4: Calculate $ac$

$ac=14\times9 = 126$

Step5: Calculate surface - area

$S = 2(ab + bc+ac)=2(210 + 135+126)=2\times471 = 678$ square inches.

Answer:

678