SOLUTION: Prism M has a length of 3 units, width of 5 units, and height of 7 units. If the length, width, and height of Prism N are triple that of Prism M, then what is the surface area of P
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-> SOLUTION: Prism M has a length of 3 units, width of 5 units, and height of 7 units. If the length, width, and height of Prism N are triple that of Prism M, then what is the surface area of P
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Question 275311: Prism M has a length of 3 units, width of 5 units, and height of 7 units. If the length, width, and height of Prism N are triple that of Prism M, then what is the surface area of Prism N? Answer by Greenfinch(383) (Show Source):
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SA of M is 2(3x5 + 5x7 + 3x7) = 2(15 + 35 + 21) = 2 x 71 = 142 sq units
By similarity, prism N is 3 times prism M, so the surface area is 3 x 3 times the surface area of prism M.. The SA of N is thus 9 x 142 = 1278
