233k views
3 votes
GIVING 50 POINTS HELP ASAP

GIVING 50 POINTS HELP ASAP-example-1
User Xolox
by
7.9k points

2 Answers

1 vote

Answer:

770.97692cm^2

Explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c 2 Solving for A

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=15·12+20·12+13·12+1

2·﹣154+2·(15·20)2+2·(15·13)2﹣204+2·(20·13)2﹣134≈770.97692

User Pasquale
by
8.3k points
6 votes

Answer:

1008 cm²

Explanation:

The surface area of the triangular prism is made up of:

  • 3 rectangles.
  • 2 congruent triangles (the bases).

Area of rectangle 1 = 20 × 15 = 300 cm²

Area of rectangle 2 = 20 × 13 = 260 cm²

Area of rectangle 3 = 20 × (5 + 9) = 280 cm²

Area of one triangular base = 1/2 × (5 + 9) × 12 = 84 cm²

Therefore,

SA of the triangular prism = 300 + 260 + 280 + 84 + 84 = 1008 cm²

User Ccellar
by
7.6k points