Question

What is the volume of the triangular prism?

Answer 1

V≈278.85

Explanation:

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving forV

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·8·﹣64+2·(6·12)2+2·(6·12)2﹣124+2·(12·12)2﹣124≈278.8548