This prism has a surface area of 172 cm². What would the surface of the prism be if each dimension was tripled? ( Scale factor i

Question

3 years ago

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s 3 )

1 answer:

Alex787 [66] · Answer 1 · 2022-04-27T00:15:22+03:00

Answer:

1356 cm²

Step-by-step explanation:

Each dimension gets multiplied by 2, so the new dimensions are

changed from 2x8x7 to 6x24x21

There are 6 faces to the prism,

The area of the front and back are 6x21 = 126. There are 2 of them for a total area of 126x2 = 252 cm²

The are of the left and right sides are 24x21 = 504. There are 2 of them for a total area of 504x2 = 1008 cm²

The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²

The total surface area is 252 + 1008 + 96 = 1356 cm²