Answer:
4 inches
Explanation:
Triangular prism formulas
Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
How to find the height of a triangle - formulas
area = b * l / 2, where b is a base, l - length.
so l = 2 * area / b/w-width.
Solve
1/2 x 6 x 8 x ? = 96
2 x 96 = 192
192/8 = 24
24/6 = 4
length = 4 inches