The total surface area of a rectangular prism is 348 cm2; and the height and width of the prism are 9 cm and 6 cm respectively. What is the length of the rectangular prism?

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Solution

$D e a r s t u d e n t, T h e s o l u t i o n i s : G i v e n : T o t a l s u r f a c e a r e a o f a r e c \tan g u l a r p r i s m = 348 c m^{2} h e i g h t = h = 9 c m w i d t h = w = 6 c m l e n g t h = l = ? T o t a l s u r f a c e a r e a o f a r e c \tan g u l a r p r i s m = 2 l h + 2 h w + 2 l w 348 = 2 \times 9 \times l + 2 \times 9 \times 6 + 2 \times l \times 6 348 = 18 l + 108 + 12 l 348 - 108 = 30 l 240 = 30 l l = \frac{240}{30} l = 8 c m s o, T h e l e n g t h o f a r e c \tan g u l a r p r i s m i s 8 c m .$

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