The lateral area of the prism is 240 square inches. Find the total surface area.

Question

asked Mar 10, 2021 8.9k views

2 Answers

Matewka · Answer 1 · 2021-03-12T19:21:45+0000

Answer:

288 Square inches

Explanation:

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

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·10+10·10+6·10+1

2·﹣84+2·(8·10)2+2·(8·6)2﹣104+2·(10·6)2﹣64=288