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2 years ago

Calculate the surface area of the prism. Measurements are in centimetres

Mathematics

1 answer:

Nata [24]2 years ago

6 0

Answer:

2804 cm²

Step-by-step explanation:

<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>

Trapezoid = 1/2*(14+32)*24 = 552 cm² each
Bottom = 17*32 = 544 cm²
Top = 14*17 = 238 cm²
Right side = 17*24 = 408 cm²
Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²

<u>Total area:</u>

552*2 + 544 + 238 + 408 + 510 = 2804 cm²

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