What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?

4 inches

Step-by-step 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

d≈7.07in

step-by-step explanation: