101k views
3 votes
Calculate the surface area of the prism. Measurements are in centimetres

Please help me asap!!!! The correct answer is 2804

Calculate the surface area of the prism. Measurements are in centimetres Please help-example-1
User Bootica
by
5.2k points

1 Answer

3 votes

Answer:

2804 cm²

Explanation:

Total area comprises of 6 faces: 2 trapezoids and 4 rectangles

  • 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

Total area:

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

User Chance Hudson
by
4.5k points